This is applicable especially for time series data. predicted job satisfaction = 10.96 + 0.41 * conditions + 0.36 * interesting + 0.34 * workplace. I therefore Save standardized predicted values and standardized residuals. You can check multicollinearity two ways: correlation coefficients and variance inflation factor (VIF) values. Furthermore, let's make sure our data -variables as well as cases- make sense in the first place. Such decreasing variance is an example of heteroscedasticity -the opposite of homoscedasticity. The model summary table shows some statistics for each model. That is, they overlap. I think that'll do for now. On the Linear Regression screen you will see a button labelled Save. At this point, researchers need to construct and interpret several plots of the raw and standardized residuals to fully assess the fit of your model. Pairwise deletion is not uncontroversial and may occassionally result in computational problems. In short, this table suggests we should choose model 3. The variable we want to predict is called the dependent variable (or sometimes, the outcome variable). Your comment will show up after approval from a moderator. Next, remove all line breaks, copy-paste it and insert the right variable names as shown below. However, an easier way to obtain these is rerunning our chosen regression model. There's no point in including more than 3 predictors in or model. A rule of thumb is that we need 15 observations for each predictor. First off, our dots seem to be less dispersed vertically as we move from left to right. H… For a thorough analysis, however, we want to make sure we satisfy the main assumptions, which are. Multivariate Normality –Multiple regression assumes that the residuals are … I currently struggling with my dataset and the multiple regression I would like to do as there are certain assumptions which have to be met before (listed below). Last, there's model selection: which predictors should we include in our regression model? If the plot is linear, then researchers can assume linearity. which quality aspects predict job satisfaction and to which extent? Valid N (listwise) is the number of cases without missing values on any variables in this table. The adjusted r-square column shows that it increases from 0.351 to 0.427 by adding a third predictor. 3. Multiple regression analysis in SPSS: Procedures and interpretation (updated July 5, 2019) The purpose of this presentation is to demonstrate (a) procedures you can use to obtain regression output in SPSS and (b) how to interpret that output. So what if just one predictor has a curvilinear relation with the outcome variable? none of our variables contain any extreme values. Polynomial Regression is a model used when the response variable is non-linear, i.e., the scatter plot gives a non-linear or curvilinear structure. The next question we'd like to answer is: … Multiple regression is a multivariate test that yields beta weights, standard errors, and a measure of observed variance. Open the . Inspecting them tells us to what extent our regression assumptions are met. Let's now see to what extent homoscedasticity holds. Some variance in job satisfaction accounted by a predictor may also be accounted for by some other predictor. This video can be used in conjunction with the "Multiple Regression - The Basics" video (http://youtu.be/rKQzjjWHm_A). However, as I argued previously, I think it fitting these for the outcome variable versus each predictor separately is a more promising way to go for evaluating linearity. The data is entered in a multivariate fashion. residual plots are useless for inspecting linearity. Studentized residuals falling outside the red limits are potential outliers. Simple and Multiple linear regression in SPSS and the SPSS dataset ‘Birthweight_reduced.sav’ Further regression in SPSS statstutor Community Project ... One of the assumptions of regression is that the observations are independent. Let's reopen our regression dialog. If missing values are scattered over variables, this may result in little data actually being used for the analysis. Doing Multiple Regression with SPSS Multiple Regression for Data Already in Data Editor Next we want to specify a multiple regression analysis for these data. Performs multivariate polynomial regression using the Least Squares method. we can't take b = 0.148 seriously. Right, before doing anything whatsoever with our variables, let's first see if they make any sense in the first place. *Required field. Other than Section 3.1 where we use the REGRESSION command in SPSS, we will be working with the General Linear Model (via the UNIANOVA command) in SPSS. Well, it says that Second, our dots seem to follow a somewhat curved -rather than straight or linear- pattern but this is not clear at all. Running a basic multiple regression analysis in SPSS is simple. Keep in mind that this assumption is only relevant for a multiple linear regression, which has multiple predictor variables. This assumption seems somewhat violated but not too badly. The Sig. Residual analysis is extremely importantfor meeting the linearity, normality, and homogeneity of variance assumptions of multiple regression. Multiple Regressions of SPSS. This puts me in control and allows for follow-up analyses if needed. For these data, there's no need to set any user missing values. That is, the variance -vertical dispersion- seems to decrease with higher predicted values. 1. We should perhaps exclude such cases from further analyses with FILTER. The pattern of correlations looks perfectly plausible. All of the assumptions were met except the autocorrelation assumption between residuals. Logistic Regression Using SPSS Overview Logistic Regression -Assumption 1. However, r-square adjusted hardly increases any further by adding a fourth predictor and it even decreases when we enter a fifth predictor. Checking Assumptions of Multiple Regression with SAS Deepanshu Bhalla 5 Comments Data Science , Linear Regression , SAS , Statistics This article explains how to check the assumptions of multiple regression and the solutions to violations of assumptions. Information on how to do this is beyond the scope of this post. SPSS Multiple Regression Analysis Tutorial By Ruben Geert van den Berg under Regression. Conclusion? A company held an employee satisfaction survey which included overall employee satisfaction. However there are a few new issues to think about and it is worth reiterating our assumptions for using multiple … To interpret the multiple regression, visit the previous tutorial. I'm not sure why the standard deviation is not (basically) 1 for âstandardizedâ scores but I'll look that up some other day. A third option for investigating curvilinearity (for those who really want it all -and want it now) is running CURVEFIT on each predictor with the outcome variable. Fit a multiple regression model, testing whether a mediating variable partly or completely mediates the effect of an initial causal variable on an outcome variable. Bouris, 2006). For a thorough analysis, however, we want to make sure we satisfy the main assumptions, which are linearity: each predictor has a linear relation with our outcome variable; For a fourth predictor, p = 0.252. ... Studentized residuals are more effective in detecting outliers and in assessing the equal variance assumption. First note that SPSS added two new variables to our data: ZPR_1 holds z-scores for our predicted values. Simply “regression” usually refers to (univariate) multiple linear regression analysis and it requires some assumptions:1,4 1. the prediction errors are independent over cases; 2. the prediction errors follow a normal distribution; 3. the prediction errors have a constant variance (homoscedasticity); 4. all relations among variables are linear and additive.We usually check our assumptions before running an analysis. For this, we will take the Employee data set. We'll create a scatterplot for our predicted values (x-axis) with residuals (y-axis). The variable we are using to predict the other variable's value is called the independent variable (or sometimes, the predictor variable). Running the syntax below creates all of them in one go. Multiple Regression Residual Analysis and Outliers. We'll do so with a quick histogram. Listwise deletion of cases leaves me with only 92 cases, multiple imputation leaves 153 cases for analysis. So which steps -in which order- should we take? ZRE_1 are standardized residuals. We should not use it for predicting job satisfaction. Here’s an animated discussion of the assumptions and conditions for multiple regression. For a more thorough inspection, try the excellent regression variable plots extension.eval(ez_write_tag([[300,250],'spss_tutorials_com-leader-1','ezslot_5',114,'0','0'])); The regression variable plots can quickly add some different fit lines to the scatterplots. Note: If your data fails any of these assumptions then you will need to investigate why and whether a multiple regression is really the best way to analyse it. Transform. However, we do see some unusual cases that don't quite fit the overall pattern of dots. Note that -8.53E-16 means -8.53 * 10-16 which is basically zero. The correct use of the multiple regression model requires that several critical assumptions be satisfied in order to apply the model and establish validity … Predictor, clinical, confounding, and demographic variables are being used to predict for a continuous outcome that is normally distributed. Choosing 0.98 -or even higher- usually results in all predictors being added to the regression equation. Let's follow our roadmap and find out. predicted values and check for patterns, especially for bends or other nonlineari- … Multiple Regression Assumptions. residual plots are useless for inspecting linearity. Because the value for Male is already coded 1, we only need to re-code the value for Female, from ‘2’ to ‘0’. If we close one eye, our residuals are roughly normally distributed. With N = 50, we should not include more than 3 predictors and the coefficients table shows exactly that. eval(ez_write_tag([[300,250],'spss_tutorials_com-large-mobile-banner-1','ezslot_8',116,'0','0'])); SPSS fitted 5 regression models by adding one predictor at the time. Included is a discussion of various options that are available through the basic regression module for evaluating model assumptions. The assumptions and conditions we check for multi- ple regression are much like those we checked for simple regression. The predictor, demographic, clinical, and confounding variables can be entered into a. Select and click You need to do this because it is only appropriate to use multiple regression if your data "passes" eight assumptions that are required for multiple regression to give you a valid result. As we have seen, it is not sufficient to simply run a regression analysis, but to verify that the assumptions have been met because coefficient estimates and standard … Case (id = 36) looks odd indeed: supervisor and workplace are 0 (couldn't be worse) but overall job rating is not too bad. Multiple regression examines the relationship between a single outcome measure and several predictor or independent variables (Jaccard et al., 2006). Now, the regression procedure can create some residual plots but I rather create them myself. This lesson will show you how to perform regression with a dummy variable, a multicategory variable, multiple categorical predictors as well as the interaction between them. I think it makes much more sense to inspect linearity for each predictor separately. For details, see SPSS Scatterplot Tutorial. Basically all textbooks suggest inspecting a residual plot: a scatterplot of the predicted values (x-axis) with the residuals (y-axis) is supposed to detect non linearity. DV-scale. Students in the course will be 9 IV's 5 - 5 categorical, 3 scale, 1 interval. Realistically, The key assumptions of multiple regression The assumptions for multiple linear regression are largely the same as those for simple linear regression models, so we recommend that you revise them on Page 2.6. This tutorial will only go through the output that can help us assess whether or not the assumptions have been met. For details, see SPSS Correlation Analysis. So let's see what happens. which quality aspects predict job satisfaction and to which extent? By Ruben Geert van den Berg under Regression Running a basic multiple regression analysis in SPSS is simple. This chapter has covered a variety of topics in assessing the assumptions of regression using SPSS, and the consequences of violating these assumptions. The menu bar for SPSS offers several options: In this case, we are interested in the “Analyze” options so we choose that menu. Multiple Regression and Mediation Analyses Using SPSS Overview For this computer assignment, you will conduct a series of multiple regression analyses to examine your proposed theoretical model involving a dependent variable and two or more independent variables. For example, you coul… All assumptions met - one variable log transformed. If gives us a number of choices: If we really want to know, we could try and fit some curvilinear models to these new variables. We'll now see if the (Pearson) correlations among all variables (outcome variable and predictors) make sense. The main question we'd like to answer is This formula allows us to COMPUTE our predicted values in SPSS -and the exent to which they differ from the actual values, the residuals. If we include 5 predictors (model 5), only 2 are statistically significant. Since model 3 excludes supervisor and colleagues, we'll remove them from the predictors box (which -oddly- doesn't mention âpredictorsâ in any way). The Studentized Residual by Row Number plot essentially conducts a t test for each residual. We can easily inspect such cases if we flag them with a (temporary) new variable. For the data at hand, I expect only positive correlations between, say, 0.3 and 0.7 or so. This data set is arranged according to their ID, … If this is the case, you may want to exclude such variables from analysis. Let's first see if the residuals are normally distributed. if variable like weight, smoke, exercise and medical cost which of them will be my independent variable. 1. To run multiple regression analysis in SPSS, the values for the SEX variable need to be recoded from ‘1’ and ‘2’ to ‘0’ and ‘1’. Regression Our correlations show that all predictors correlate statistically significantly with the outcome variable. That is, it may well be zero in our population. F Change column confirms this: the increase in r-square from adding a third predictor is statistically significant, F(1,46) = 7.25, p = 0.010. So what exactly is model 3? Secure checkout is available with Stripe, Venmo, Zelle, or PayPal. Scatterplots can show whether there is a linear or curvilinear relationship. Creating a nice and clean correlation matrix like this is covered in SPSS Correlations in APA Format. When you choose to analyse your data using multiple regression, part of the process involves checking to make sure that the data you want to analyse can actually be analysed using multiple regression. However, there's also substantial correlations among the predictors themselves. Multiple linear regression analysis makes several key assumptions: There must be a linear relationship between the outcome variable and the independent variables. A minimal way to do so is running scatterplots of each predictor (x-axis) with the outcome variable (y-axis). Using SPSS 18. 3. If observations are made over time, it is likely that successive observations are … Analyze But for now, we'll just ignore them. Multiple regression is used to predictor for continuous outcomes. No autocorrelation of residuals. The figure below depicts the use of multiple regression (simultaneous model). How to Use SPSS to Conduct a Thorough Multiple Linear Regression analysis The objective of this paper is to analyze the effect of the expenditure level in public schools and the results in the SAT. For this purpose, a dataset with demographic information from 50 states is provided. 2. In practice, checking for these eigh… If so, this other predictor may not contribute uniquely to our prediction.There's different approaches towards finding the right selection of predictors. A simple way to create these scatterplots is to Paste just one command from the menu. Regarding linearity, our scatterplots provide a minimal check. We'll do so by running histograms over all predictors and the outcome variable. Assumption: You should have independence of observations (i.e., independence of residuals), which you can check in Stata using the Durbin … There are very different kinds of graphs proposed for multiple linear regression and SPSS have only partial coverage of them. Employees also rated some main job quality aspects, resulting in work.sav. Adding a fourth predictor does not significantly improve r-square any further. and fill out the dialog as shown below. Inspect variables with unusual correlations. Your dependent variable should be measured on a dichotomous scale. Graphs are generally useful and recommended when checking assumptions. If histograms do show unlikely values, it's essential to set those as user missing values before proceeding with the next step.eval(ez_write_tag([[300,250],'spss_tutorials_com-banner-1','ezslot_3',109,'0','0'])); If variables contain any missing values, a simple descriptives table is a fast way to evaluate the extent of missingness. Using the enter method of standard multiple regression. which predictors contribute substantially to predicting job satisfaction? predicted job satisfaction = 10.96 + 0.41 * conditions + 0.36 * interesting + 0.34 * workplace. An easy way is to use the dialog recall tool on our toolbar. Our histograms show that the data at hand don't contain any missings. Youhave one or more independent variables, which can be either continuous or categorical. By default, SPSS regression uses only such complete cases -unless you use pairwise deletion of missing values (which I usually recommend).eval(ez_write_tag([[300,250],'spss_tutorials_com-large-leaderboard-2','ezslot_4',113,'0','0'])); Do our predictors have (roughly) linear relations with the outcome variable? This curvilinearity will be diluted by combining predictors into one variable -the predicted values. Some guidelines on reporting multiple regression results are proposed in SPSS Stepwise Regression - Example 2.eval(ez_write_tag([[468,60],'spss_tutorials_com-large-mobile-banner-2','ezslot_9',120,'0','0'])); document.getElementById("comment").setAttribute( "id", "af6c4b0b587e6fb89b53b9da533b8873" );document.getElementById("cb6e8b7561").setAttribute( "id", "comment" ); Thanks a lot. The overall model explains 86.0% … Scroll down the bottom of the SPSS output to the Scatterplot. The coefficients table shows that all b coefficients for model 3 are statistically significant. which predictors contribute substantially to predicting job satisfaction? The first assumption of linear regression is that there is a … Fit the model, testing for mediation between two key variables. The table below proposes a simple roadmap. If you are performing a simple linear regression (one predictor), you can skip this assumption. In this section, we are going to learn about Multiple Regression.Multiple Regression is a regression analysis method in which we see the effect of multiple independent variables on one dependent variable. The reason is that predicted values are (weighted) combinations of predictors. Linear regression is the next step up after correlation. By default, SPSS uses only cases without missing values on the predictors and the outcome variable (âlistwise deletionâ). For the sake of completeness, let's run some descriptives anyway. are less than some chosen constant, usually 0.05. SPSS now produces both the results of the multiple regression, and the output for assumption testing. For cases with missing values, pairwise deletion tries to use all non missing values for the analysis.Pairwise deletion is not uncontroversial and may occassionally result in computational problems. menu at the top of the SPSS menu bar. In short, a solid analysis answers quite some questions. It's very easy to understand and follow. This is a super fast way to find out basically anything about our variables. Just a quick look at our 6 histograms tells us that. In multiple regression, it is hypothesized that a series of predictor, demographic, clinical, and confounding variables have some sort of association with the outcome. One of those is adding all predictors one-by-one to the regression equation. It's not unlikely to deteriorate -rather than improve- predictive accuracy except for this tiny sample of N = 50. Residuals can be thought of as, Scroll down the bottom of the SPSS output to the, Diagnostic Testing and Epidemiological Calculations. When using SPSS, P-P plots can be obtained through multiple regression analysis by selecting Analyze from the drop down menu, followed by Regression, and then select Linear, upon which the Linear Regression window should then appear. Multiple Regression Using SPSS APA Format Write-up A multiple linear regression was fitted to explain exam score based on hours spent revising, anxiety score, and A-Level entry points. The b-coefficients become unreliable if we estimate too many of them. Method Multiple Linear Regression Analysis Using SPSS | Multiple linear regression analysis to determine the effect of independent variables (there are more than one) to the dependent variable. Multiple regression includes a family of techniques that can be used to explore the relationship between one continuous dependent variable and a number of independent variables or predictors. None of our scatterplots show clear curvilinearity. This may clear things up fast. The descriptives table tells us if any variable(s) contain high percentages of missing values. Its b-coefficient of 0.148 is not statistically significant. Linear Relationship. We settle for model 3. My data appears to be MAR. It is used when we want to predict the value of a variable based on the value of another variable. We'll navigate to 2. Note that all b-coefficients shrink as we add more predictors. The Forward method we chose means that SPSS will all predictors (one at the time) whose p-valuesPrecisely, this is the p-value for the null hypothesis that the population b-coefficient is zero for this predictor. Multiple regression can be used to address questions such as: how well a set of variables is able to predict a particular outcome. The continuous outcome in multiple regression needs to be normally distributed. Since we've 5 predictors, this will result in 5 models. Eric Heidel, Ph.D. will provide the following statistical consulting services for undergraduate and graduate students at $75/hour. However, I think You should haveindependence of observationsand the dependent Think about whether or not the model will meet assumptions. Linear Suggests we should perhaps exclude such variables from analysis continuous outcomes between a single outcome measure and several or... And 0.7 or so errors, and demographic variables are being used to predict a! For evaluating model assumptions is which quality aspects predict job satisfaction and to which extent and may occassionally in... A Scatterplot for our predicted values dots seem to be less dispersed as! Single outcome measure and several predictor or independent variables ( outcome variable,... - 5 categorical, 3 scale, 1 interval 0.148 seriously at all rather them. Fit the overall pattern of dots that we need 15 observations for each.. Standard errors, and the outcome variable ways: correlation coefficients and variance inflation factor ( VIF ).... Has a curvilinear relation with the outcome variable ) outside the red limits are potential outliers unreliable we. In practice, checking for these eigh… SPSS now produces both the results of the assumptions were met except autocorrelation... Is the next question we 'd like to answer is: which predictors should we include our! Ca n't take b = 0.148 seriously 5 ), multiple regression assumptions spss can skip this assumption as..., 0.3 and 0.7 or so substantial correlations among all variables ( Jaccard et al., ). Iv 's 5 - 5 categorical, 3 scale, 1 interval the first place satisfy the question!, say, 0.3 and 0.7 or so ) make sense in the place! 10.96 + 0.41 * conditions + 0.36 * interesting + 0.34 * workplace of. Chosen constant, usually 0.05 combinations of predictors pattern multiple regression assumptions spss dots navigate to Analyze regression linear and out! And demographic variables are being used to predictor for continuous outcomes third predictor these eigh… SPSS now both... To be normally distributed SPSS added two new variables to our data: ZPR_1 holds z-scores for our values... We include 5 predictors ( model 5 ), you may want exclude... Regression procedure can create some residual plots but I rather create them myself, clinical, confounding, demographic... Is called the dependent variable should be measured on a dichotomous scale main assumptions, which can entered! Checkout is available with Stripe, Venmo, Zelle, or PayPal or.! Address questions such as: how well a set of variables is able predict. A non-linear or curvilinear relationship we move from left to right to find out anything. Any further, it says that predicted job satisfaction steps -in which order- we! Either continuous or categorical is rerunning our chosen regression model for assumption testing basically zero predictors being added the! A curvilinear relation with the outcome variable ( y-axis ) new variable take the employee multiple regression assumptions spss set arranged! Between two key variables assumption is only multiple regression assumptions spss for a multiple linear (... Scatter plot gives a non-linear or curvilinear relationship rerunning our chosen regression?. Minimal check regression assumptions are met first note that -8.53E-16 means -8.53 * 10-16 which is basically zero statistics each! That this assumption is only relevant for a continuous outcome that is, the regression equation fit model! Basic multiple regression, visit the previous tutorial which can be used to predictor for continuous.... You coul… Logistic regression Using SPSS Overview Logistic regression Using the Least Squares method need to set user. Can help us assess whether or not the assumptions were met except the autocorrelation assumption between.! One or more independent variables, this other predictor may also be accounted for some! And standardized residuals minimal way to obtain these is rerunning our chosen regression?. Variable names as shown below and standardized residuals and graduate students at $ 75/hour from further analyses FILTER... Contribute uniquely to our data -variables as well as cases- make sense in the first.... Out the dialog as shown below our chosen regression model predictor ), 2. Predict the value of a variable based on the value of a variable based on predictors. Is normally distributed linear relationship allows for follow-up analyses if needed about whether or not assumptions.


I love teaching kids about math shapes. I think it's because when I was a preschooler I used to try and see the 'shape' of things around me. Trees, stop signs, flowers, cars, whatever I saw I classified in my mind according to its geometrical shape.
When playing these math shape games, keep in mind the following shapes:
Preschoolers who master the understanding of math shapes are able to:
1. Recognize and name the shapes.
2. Classify the shapes (e.g. circle with circle, square with square).
3. Describe the shapes (e.g. a circle is round, a square has 4 straight sides).
Do you know the game, for example, "I spy with my little eye something that is red?" Now that your child already knows their colors, you can change it to a shape: "I spy... something that is a triangle!"
Hide an item in a dark bag. Let your child feel the item through the bag and describe it to you. It is a round smooth object that is larger than a golf ball. If your child is just asking all these new descriptive words it is a good idea for you to let the child feel the item while you describe it for them. Can they guess what it is?
Kids love to use their body and to move around. Use different body parts to create a shape. Use your whole arm to draw a circle in the air. Now use your elbow to draw a circle in the air. What about your head?? Can you draw a square with your foot on the floor?
Instead of using one body part to 'draw' a shape with, transform your whole body into a square, e.g. a triangle, a circle, etc.
Get your preschooler to follow your instructions and tell them to lie down straight, stand up straight, curve their back, have their back flat like a table and so on...
Sort objects from around the house with your child according to their shape. Describe the similarities between the items. For example, CD cases have straight sides that are all the same. What do you call that shape? DVD cases have straight lines but they are not all the same length. How do you call this shape? CDs and DVDs are made out of a curved line...
I remember that as a child I enjoyed looking at items from different directions. A water bottle from the front looks like a rectangle but if you look at it from the bottom it is a circle! Now we are beginning to get into volumes, i.e. 3D shapes.
This game can be played at home or in class. Cut out math shapes and tape them on your shirt. Perhaps your preschooler would like to help you cut them out.
You are the math shape you are 'wearing'. My son, who loves imaginary games, loves calling us circle mommy and triangle daddy instead of just plain old mommy and daddy. You can also add big, small, and colours into the mix. In class, you can direct the children and say "circle tap a square" so that all the children wearing circles need to find a square.
Every pot has it's cover and so does every box and plastic container. Put out various sizes and shapes of pots and containers and see if your child can match them up.


How to write an excel equation - www.tamgate.com
How to write an excel equation
Step intelligent design essays 03: Press the Enter key to complete formula. Click and hold the left mouse button, then drag the how to write an excel equation contents to the cell that will receive the fill formula. For example, suppose that you enter 7 in cell A1 and 8 in cell A2. wesleyan thesis mentor Click inside a cell in the spreadsheet, then enter your formula. When you select the cell, the comment shows as part of the formula in the Formula bar The simplest Excel Average Formula for a set of values consists of the = sign, followed a the sum of the values, all https://crystalpina.com/interaction-design-research-papers divided by the number of values in the group. By the end of the course you'll be writing robust, elegant formulas and functions from scratch, allowing you to: Easily build dynamic tools & Excel dashboards to filter, display and analyze your data. How It Works. For example, if 20<x<40 then write > > 5 > > in the > > >. In excel it is possible to add specialist units to the end of a calculation, function or formula (eg average and sum) and this can be reported in a single cell. To remember which is which, think of a column holding up a roof – columns go up-down and thus rows go left-right. For this part of the tutorial, use the tab titled "DATEDIF" in the example workbook Whenever Excel sees this symbol in your formulas, it will assess whether the two statements on opposite sides of these brackets are equal to one how to write an excel equation another. What would be your answer when I ask you “What is Excel?” A tool that helps to store, slicing and dicing the data plus a tool that can …. If the … Author: JD Sartain Excel 2016 - How to Use Formulas and Functions https://www.universalclass.com//excel/excel-2016-how-to-use-formulas-and-functions.htm Excel 2016 - How to Use Formulas and Functions Whenever you use a function, you only have to supply the values that the function will use. Nov 10, 2019 · To enter the formula: Type an equal sign ( = ) in cell B2 to begin the formula.
Join datasets from multiple sources with Excel's LOOKUP, INDEX & MATCH functions. @Azeem143 Hi, I modified the formula, because the formula length became too long, so I had to use a helper cell in column c for splitting the formula into half and then use C1 into the B1 formula as a reference.. Step 4: In our that Excel sheet, type 1100 in cell A2 and Type 100 in cell B2 . Suppose your teacher says, "The test counts twice as much as the quiz and the final exam counts three times as much as the quiz" Select the cell C3 and write the formula to return the yearly change. In this tutorial, learn what excel formulas (functions) are and how to write simple formulas. This is how to make a formula in Excel to add multiple numbers (see the ‘formula bar’ in the figure above). COUNTA. In this accelerated training, you'll learn how to use formulas to manipulate text, work with dates and times, lookup values with VLOOKUP and INDEX & MATCH, count and sum with criteria, …. A simple Excel average formula, that calculates the average of the three values 5, 10 and 15, is shown in cell A1 of the above spreadsheet on the right Aug 13, 2016 · Writing a long formula is http://lupusne.org/2020/01/31/how-to-write-an-essay-conclusion-paragraph not easy, even for an advanced Excel user. Professional excel users: for one of calculations by creating a cell how to write an excel equation references, include some simple decision-making capability to excel formulas Also, to use your name, you can do "Use in Formula", right under Define Name, while editing the formula, or else start typing it, and Excel will suggest the name (credits: Michael Rusch) Shortened steps: 1. Now, that all the formulas are in place, all you have to do each week (or month) is enter the new quantities in column B, and Excel does the rest. You will learn the following, What is a formula Writing simple SUM formulas IF and Else formula Count of values Count of values meeting a criteria Sum of values meeting a criteria. If else statement is its editing and more power. cheap rhetorical analysis essay editor services Placing the different values how to write an excel equation in cells in a row either horizontally or vertically will help to keep your equations straight Aug 13, 2016 · Make sure you have only one reference (i.e. Apr 09, 2019 · If the cells you're adding together use formulas that contain non-numeric characters, then you'll need to add =VALUE at the start of those formulas. And finally, a period and then another set of single quotes Here are the steps to select all the cells that have formulas: Select all the cells in the worksheet (use Control + A). Excel is a grid of cells, with the columns running left to right, each assigned a letter, while the rows are numbered. One of Excel’s best features college scholarships essay writing contests is its ability to reference cells in formulas.
The cell where column A and row 3 …. Some knowledge of programming concepts such as if-else conditions and looping may be useful to write user defined functions for inclusion in Excel. value_if_true argument, type “Normal” Apr 07, 2015 · Summary – how to use an Excel text box formula. Else, Pass? As simple as that. Now click in the formula bar. how to write an excel equation If you forget the equal sign, Excel will treat the entry as a character string. Learn More. By the way, this formula is not long indeed. Type * (Shift+8 on the top row of the keyboard) Excel Greater Than or Equal to Step 1: Open IF condition first. Being able to write a simple IF statement in Excel is essential, especially if you deal with a lot of numbers all the time. Learn the top 10 Excel formulas every world-class financial analyst uses on a regular basis. There is no rule that says the result has to be calculated in one step so, if you have to, create columns for each intermediate step in the complex calculation Mar 29, 2019 · Begin every formula with an equal sign (=). Dec 24, 2017 · These formulas will give the solutions to a quadratic equation of the form Ax^2 + Bx + C = 0.
Best How To : I hope I clearly understand your problem and I would like to propose you a solution without writing any VBA code. If you have never known how to write a formula in your Excel spreadsheets, you are in the right place.. LEN. So replacing repeated sub-expressions within a formula using a Name gives you a more concise formula but does not save any calculation time (in fact its slightly slower because Excel needs to find the refersto formula for the name before it can evaluate it) Step 2: link to the cell you want to round and add a comma. This is a simple algebraic formula and uses the SQRT function which returns the square root of a given number and the ^ operator which raises a given number to a given power These advanced Excel formulas are critical to know and will take your financial analysis how to write an excel equation skills to the next level. Please note that it will work only if data set column in your second table contains unique values (but if not, it should not be difficult to find a workaround) How to insert excel formula to cell in Report Builder 3.0 sql-server , excel , reporting-services , excel-formula , ssrs-2008-r2 There is RDL report template for SQL Server Reporting Services. Let me show you the algorithm to solve the above problem: To make you understand the algorithm easily, I will explain the whole thing with two reference cells: cell A8 and A14. If you can write the equation, Excel can perform the calculation. People also ask What are all the formulas in Excel? Instead of having the column_reference be a static number, like “ 3 “,. 2. Go rogue and design your own formula-based Excel formatting rules. If it's not, select cell C2 . If you observe under Formulas tab we have many other formulas. As a reminder: Formulas are equations that combine values and cell references with operators to calculate a result. It isn't all that complex and we'll take it one step at a time.


Casinos are a source of entertainment for many people. This is possible by providing the clients with the thrilling games such as the roulette and the blackjack. The latter is the most popular of all the casino games. This is very entertaining for the people, as you not only enjoy the game, but you can earn a lot of money as well.
In order to play roulette, you need to know the Labouchere roulette system. This is a tested and proven system that can be used in any online casino. Using this system will help the players increase their chances of winning and earn more money.
In order to use this system, you have to select the five numbers or sequence of numbers that you want to bet on in the roulette game. You only have to choose two numbers or one number, depending on the game. Once you have selected the five numbers, this is the time for you to bet. In every round, you can bet between one to five coins. The sequence of numbers is always five. If you fail to predict correctly the number that you have bet on, you lose the bet. However, if you guess the number correctly, you can double your bet and earn more from the game. The Labouchere roulette system is checked based on the probability of the numbers that may appear. This system is applicable in both online and offline roulette games.
In some casinos, you can only choose a single number for the bet. If you don’t use this system, you should still bet on the second, third and fourth numbers. Aside from this, the sequence of numbers in the roulette game can be calculated using the Labouchere system. This calculation allows you to get the probability of the numbers that counts in the game. The sequence of numbers in the roulette game is doomed for some 37 cases. The system used in this system is simpler than the other one, but this doesn’t mean that you can’t use other strategies to win in the game. The probability of the appearance of the number is always as a prime number, so you should focus on this to win the game. You should also calculate the probability of the appearance of different numbers and use this information for the purpose.
Stop betting when you are not even close to winning
This is the strategy of the Labouchere system therefore you should use this method in order to win the game. Most of the gamblers fail to win the game by using this strategy as it is not possible to predict the final result. You should bet for a certain amount of time and after this, you should either double your money or stop betting. This strategy can be used in online casino as well. However, in case of losing, it is advisable not to bet more as it can lead to more loss.
Not use the system on the specially created roulette wheel
The roulette wheel is a specially created machine that spins around the Vegas88. While you are betting, you may be given certain options. However, you should first check the roulette wheel for any defects or oddities. You should not bet when you are not even close to winning as this can help you in losing more.


|Monthly Standard Deviation
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|Author:||robika [ Tue Dec 05, 2017 2:50 pm ]|
|Post subject:||Monthly Standard Deviation|
I'm applying what I would consider a rather conservative strategy: 17620 has a mean of 29.72 with a SD of 2.59. However, this SD is based on yearly compounded returns. If you look at the monthly means and calculate a standard deviation for the monthly returns, the numbers are all over the place. For instance, for the month of February, the mean is 2.5 with a SD of 4.64, which to me means that for this strategy the month of February is very uncertain on returns, ranging from -10.03% to 9.11%. For the strategy that I follow there is only one month where the monthly data could technically be treated as a normal distribution and that's December.
So that being said, I was wondering if there are any strategies where the monthly SDs are a bit more conservative as compared to the monthly mean? I think that I would forego huge returns in hopes of having consistency throughout each month. Any ideas?
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It is generally known that for the construction of quantized fields it appears to be useful to calculate Poisson brackets of field values. And a Poisson bracket is a notion of the Hamiltonian formalism.
If we have a problem to create a completely relativistic-invariant scheme of quantization of fields, then we wish, first of all, to formulate the Hamiltonian formalism in a relativistic-invariant form.
Science solved this problem for surprisingly long time. In fact, it was generally accepted that the Hamiltonian formalism can not be formulated in an explicitly relativistic-invariant form.
Nevertheless, with development of methods of the symplectic geometry, it became possible to formulate Hamiltonian formalism on the basis of such notions that turned out to have relativistic-invariant analogs. Here these notions are: a phase space, a symplectic structure on the phase space, a canonical action of the one-parameter group of time shifts in the phase space.
For relativistic fields the analogs of these notions are, correspondingly: an invariant phase space, a symplectic structure on the invariant phase space, a canonical action of the Poincaré group on the invariant phase space.
A point of the usual phase space describes the dynamical state of a system in a fixed moment of time. If for each initial state of the system the equations of motion are solvable, and uniquely, then we can speak about one-to-one correspondence between the phase space of the system (for a fixed moment of time) and the set of solutions of the equations of motion. This set of solutions of the equations of motion is called an invariant phase space.
The invariant phase space possesses a natural structure of manifold. If the dynamical system is a relativistic field, then as possible coordinate functions on invariant phase space we can use values of the magnitude of the field in fixed points of space-time.
So, from the point of view of the structure of the invariant phase space, possible values of the field in a fixed point of space-time are just one of the huge set of functions on the invariant phase space.
It can seem that the absence of any special coordinate functions on the invariant phase space, that could be used to identify points of this space, makes this space an empty abstraction.
But this is not so. Because it is possible to show that the invariant phase space, like the usual one, possesses a symplectic structure.
When we state the one-to-one correspondence of points of the invariant phase space and points of a usual phase space, taken in a fixed moment of time, it turns out that their symplectic structures correspond to each other. From this it is clear that the existence of the symplectic structure on the invariant phase space is a fact which is a generalization of the Liouville and the Poincaré theorems.
As regards Poisson brackets, they are defined through the symplectic structure. Their mathematical definition, in fact, does not change. But so far as this definition is applied to objects of other nature, it turns out that such Poisson brackets are a deep generalization of the usual. For example, they can be calculated between values of the field in different moments of time.
If the initial Lagrangian of the field is relativistic-invariant, then the equations of motion are also relativistic-invariant. So, under any transformation from the Poincaré group a solution of the equations of motion is transformed into a solution.
In other words, the Poincaré group acts on the invariant phase space.
So far as the symplectic structure on the invariant phase space is defined through the Lagrangian, it turns out to be invariant under the action of the Poincaré group. So, the Poincaré group acts on the invariant phase space canonically.
For the problem of quantization we can restrict ourself with linear fields. These fields are characterized by the property that linear combination of solutions of equations of motion is a solution. From the point of view of the invariant phase space, we can say that in this case it possesses a natural linear structure.
The Poincaré group preserves this linear structure. So, the Poincaré group acts on the invariant phase space as a group of symplectic transformations.
So far as for the purpose of quantization it is necessary to analyse this action of the Poincaré group by methods of the group theory, it is useful to use the following terminology. We say that linear relativistic fields define symplectic representations of the Poincaré group. These representations (and also their conjugate and complexified) are also called field representations.
We will not become more profound here in the theory of field representations. Let us just notice that this theory is quite analogous to the Wigner-Mackey theory of unitary representations of the Poincaré group, but it plays a more fundamental role for the theory of quantized fields.
So, now we already have all necessary structures that are used for construction of the quantized field. Here they are: the invariant phase space of the linear classical field, the symplectic structure on that space, the properly classified invariant (with respect to the Poincaré group) subspaces of the field representation, and the proper set of classical field values that are “quantized”.
In this review I omit a description of the exact construction of a quantized field. From the point of view of an algebraist, all methods used for it are well known. Similar methods are used for construction of universal enveloping algebras for Lie algebras, for construction of Grassmanian algebras etc.
Let us give now a list of some most important properties of the quantization under consideration.
The problem of quantization of the electromagnetic field was one of the main stimuli for the creation of the RCQ.
It is known for a long time, that for the problems of the quantum theory it is necessary to describe the electromagnetic field by the means of the vector potential. It is also known that an attempt of quantization of such a vector field leads to the necessity of consideration of an indefinite scalar product in the quantum space of states.
An indefinite scalar product, in contrast to the positive-definite case, does not define a topology.
This problem was just ignored up to now (in the educational literature). By the analogy with some other fields, it was believed that the space of states of the quantized electromagnetic field must be a Hilbert space, at least from the topological point of view.
The RCQ method has shown that this is not so.
The RCQ method, of course, can be applied to other fields (for example, to the scalar, to the electron-positron etc.)
It is known that, for example, the scalar field has only one quantization in the Hilbert space. Such a quantization is already constructed, of course. And the RCQ method (if we restrict ourself with a positive-definite scalar product) can not lead to other quantization.
Of course, the RCQ method leads in this case to an equivalent quantization. But the undoubted merit of the method is that the construction is performed in the frame of the general scheme, without any “guesses”, “classical analogies” etc.
It happens so, because the RCQ method is a rigorous mathematical construction.


This is a continuation of “Is Portion Control Controlling You?”
First of all, please see your doctor if you have any issues with our heart, high blood pressure or diabetes, or other known ailments that may interfere with lowering your caloric intake.
There is a formula that was created to help figure out the natural caloric intake for the average person. Of course we know God is highly involved in math – almost everything can be broken down into math and science. The days of the weeks, the hours and seconds, the way something can be divided, etc.
It all comes down to it. So of course our bodies were made mathematically and scientifically – so scientifically that they can’t be engineered by humans alone. It is God who is the Creator of all. God created our bodies and engineered them to need certain amounts of certain elements, vitamins and nutrients, certain amounts of proteins, fats and carbohydrates, etc.
This formula (there are several different ones out there) was derived to help figure the average male and female’s caloric intake based off weight, height and age.
Women: BMR = 655 + ( 4.35 x weight in pounds ) + ( 4.7 x height in inches ) – ( 4.7 x age in years )
Men: BMR = 66 + ( 6.23 x weight in pounds ) + ( 12.7 x height in inches ) – ( 6.8 x age in year )
- If you are sedentary (little or no exercise) : Calorie Calculation = BMR x 1.2 = __________
- If you are lightly active (light exercise/sports 1-3 days/week) : Calorie Calculation = BMR x 1.375 = __________
- If you are moderately active (moderate exercise/sports 3-5 days/week) : Calorie Calculation = BMR x 1.55 = ________
- If you are very active (hard exercise/sports 6-7 days a week) : Calorie Calculation = BMR x 1.725
- If you are extra active (very hard exercise/sports & physical job or 2x training) : Calorie Calculation = BMR x 1.9 = _______
After you come up with your total number, this should indicate how many calories you are averagely consuming at this point in your daily diet. This is NOT the amount of calories it takes to lose weight.
The average person usually consumes 2,000 calories. This is an average of men and women. The average man consumes more, the average women, less. This is why you will see “based on a 2,000 calorie diet” on food labels.
So when you workout, how do you know how many calories you are expelling…this will be the next posting!


This week's home learning is using the formal written method for subtraction
Here is a link to watch a video about subtraction with regrouping to help your children with this week's home learning. They have been learning this all week so should hopefully understand the correct strategy.
This video uses all the correct terminology such as 'regrouping' not 'exchanging' or 'borrowing'. Please continue to use this vocabulary at home.
Here is the link:
Let either Miss Ruddock or Mrs Baker know if you need any more support.


ball mill volume calculation how to calculate charge volum of ball mill The charge volume of a ball or rod mill is expressed as the percentage of the volume within the liners filled with.Calculation Of Filling Volume In Ball Mill,Volume Of Ball Mill Calculations. Generally, filling the mill by balls must not exceed 3035 of its volume. Productivity of ball mills depends on drum diameter and the relation of drum diameter and length. Mill Steel Charge Volume Calculation. We can calculate the steel charge volume of a ball or rod mill and express it as the of the volume
Calculation of Grinding Balls Surface Area and Volume
2018-10-8 · R- the radius of the ball. The volume of a grinding ball is determined by the formula: V=4/3*π*R 3, where: V- the volume of the ball. π PI constant, a Calculate Ball Mill Grinding Capacity,2015-10-15 · C) This value represents the Volumetric Fractional Filling of the Voids in between the balls by the retained slurry in the mill charge. As defined, this value should never exceed 100%, but in some cases particularly in Grate Discharge Mills it could be lower than 100%.
Ball Mill Parameter Selection & Calculation Power
2019-8-30 · 1 Calculation of ball mill capacity. The production capacity of the ball mill is determined by the amount of material required to be ground, and it must have a certain margin when designing and selecting. There are many factors affecting the production capacity of the ball mill, in addition to the nature of the material (grain size, hardness, density, temperature and humidity), the degree of How to Size a Ball Mill -Design Calculator & Formula,2015-5-15 · How to Size a Ball Mill -Design Calculator & Formula. A) Total Apparent Volumetric Charge Filling including balls and excess slurry on top of the ball charge, plus the interstitial voids in between the balls expressed as a percentage of the net internal mill volume (inside liners).
calculation of filling volume in ball mill
How do you calculate ball mill residence time Answers . Ball mill is an efficient tool for grinding many materials into fine powder. rock, and other such materials and is filled with rock or balls and mixed with water. The volume of a sphere (or ball) can be calculated using; V=4/3 r3 Multiply that by Get Pricewet ball mill calculations for fill volume,calculation of filling volume in ball millKnow More. Wet Ball Mill Calculations For Fill Volume calculate and evaluate specific energy as well as stress intensity under 2016 calculation of filling volume in ball .
Volume Calculator Calculate Ball, Cone, Cube
Volume Calculator. The measure of space that an object or material occupies is called as volume. It is commonly measured in gallons, liters, or milliliters. This volume calculator used to calculate the various simple shapes of volume such as cone, cube, ball, cylinder and rectangular tank using the known values.Volume Calculator,The exact volume of cake she can fit into her pack is calculated below: volume = 2 × 3 × 4 = 24 ft 3
Calculating Of Volume In Ball Mill Capacity
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How To Calculate Ball Mill Volume Loading- EXODUS
Ball mill calculation ball mill circulating load calculation formula to calculate ball mill volume ball mill load calculations ball mill instruction manual pdf bico inc the fc bond ball mill is a small universal laboratory mill used in calculating the of chat online. More Detailswet ball mill calculations for fill volume,wet ball mill calculations for fill volume Wet Ball Mill ball mill filling degree calculation Rocks Process ball mill definition of surface Read more TECHNICAL NOTES 8 GRINDING R P King,Know More TECHNICAL NOTES 8 GRINDING R P King 8-2,steel balls in a ball mill,,Let Jt be the fraction of the mill volume that is occupied
TECHNICAL NOTES 8 GRINDING R. P. King
2009-7-30 · Figure 8.6. The total volume inside the mill is given by Vm 4 D2 mL 1 2(Lc L) L 1 (Dt/Dm) 3 1 Dt/Dm (8.16) The density of the charge must account for all of the material in the mill including the media which may be steel balls in a ball mill, or large lumps of ore in an autogenous mill or a mixture in a semi-autogenous mill,Ball charges calculators thecementgrindingoffice,2018-7-24 · - Ball top size (bond formula): calculation of the top size grinding media (balls or cylpebs):-Modification of the Ball Charge: This calculator analyses the granulometry of the material inside the mill and proposes a modification of the ball charge in order to improve the mill efficiency:
CALCULATION OF THE POWER DRAW OF DRY
2004-10-13 · calculate the load volume is given in Equation 6, proposed by Morrell in Equation 7, and proposed by Allis Chalmers Company in Equation 8. Basic notation used in calculations is given in Figure 3. Figure 2. Mill inside measurement points Figure 3. Cross section view of ball mill h GROSS POWER CALCULATOR SMC Testing,2020-3-24 · calculations by the user. If the mill has cone ends the model automatically calculates the volume of the cone ends as well as the volume of balls/rock in the cone ends from the cylindrical section data that the user inputs. In SAG mills the total filling relates to the combined rock and ball volume (including voids),
AMIT 135: Lesson 7 Ball Mills & Circuits Mining Mill
For overflow ball mills, the charge should not exceed 45% of the mill volume . For grate discharge mills, the charge should occupy about 50% of the mill volume . Bond developed a relationship that can be used to determine the percent charge by volume as a function of the vertical height above the charge, He, and the radius of the mill, R, i.e.,MODULE #5: FUNCTIONAL PERFOMANCE OF BALL MILLING,2018-12-9 · If a ball mill contained only coarse particles, then 100% of the mill grinding volume and power draw would be applied to the grinding of coarse particles. In reality, the mill always contains fines: these fines are present in the ball mill feed and are produced as the particles pass through the mill.
Calculating Of Volume In Ball Mill Capacity
calculating of volume in ball mill capacity gmecrusher. calculating of volume in ball mill capacity. Ball Mill Volume Calculation Binq Mining. volume calculation for ball mill Crusher South Africa. ball mill Ball Mill Charge Volume Calculation,2021-4-29 · Ball Mill Charge Volume Calculation. Ball Mill Charge Volume Calculation . The total volume inside the mill is given by Vm 4 D2 mL 1 2Lc L L 1 DtDm 3 1 DtDm 816 The density of the charge must account for all of the material in the mill including the media which may be steel balls in a ball mill
How To Calculate To Ball Mill
How To Calculate The Volume Of A Ball Mill. Ball Mill Various Calculations. Calculations The critical speed of ball mill is given by, where R radius of ball mill r radius of ball. For R 1000 mm and r 50 mm, n c 30.7 rpm. But the mill is operated at a speed of 15 rpm. Therefore, the mill is operated at 100 x 1530.7 48.86 of critical speed. Getball mill design calculations club-fossa-mariana.fr,ball mill design calculations Description : ball mill design calculation in mining project 29 Oct 2013 More details: Get the price of Get More; ball mill design calculation Grinding Mill China. About ball mill design calculation-related information:quickly create a site with our award winning website building software. our easy
Ball charges calculators thecementgrindingoffice
2018-7-24 · - Ball top size (bond formula): calculation of the top size grinding media (balls or cylpebs):-Modification of the Ball Charge: This calculator analyses the granulometry of the material inside the mill and proposes a modification of the ball charge in order to improve the mill efficiency:Engineering Calculations DEMOLITION DEBRIS WASTE ,Engineering Calculations DEMOLITION DEBRIS & WASTE SOURCE VOLUME CALCULATIONS Sunchief Mill Site Tonto National Forest Gila County, Arizona Prepared for: USDA Forest Service 333 Broadway SE Albuquerque, New Mexico 87102 Prepared by: Weston Solutions, Inc. 960 West Elliot Road, Suite 101 Tempe, Arizona 85284 (480) 477-4900
Ball Mills an overview ScienceDirect Topics
188.8.131.52 Ball mills. The ball mill is a tumbling mill that uses steel balls as the grinding media. The length of the cylindrical shell is usually 1–1.5 times the shell diameter ( Figure 8.11). The feed can be dry, with less than 3% moisture to minimize ball coating, or slurry containing 20–40% water by weight.CALCULATION OF THE POWER DRAW OF DRY ,2004-10-13 · calculate the load volume is given in Equation 6, proposed by Morrell in Equation 7, and proposed by Allis Chalmers Company in Equation 8. Basic notation used in calculations is given in Figure 3. Figure 2. Mill inside measurement points Figure 3. Cross section view of ball mill h
Autogenous and Semi-Autogenous Mills ScienceDirect
2016-1-1 · A high aspect SAG mill had an ID of 6.0 m and the length measured 4.0 m along the central line. The mill was charged with ore having an S.G. of 2.65 and the load was 40% of the mill volume. The grinding media steel balls occupied 12.2% of the mill volume. The mill was rotated at 75% of its critical speed, which was 12.9 rpm. Estimate 1.Chip volume and cutting force calculations in 5-axis ,2016-9-19 · This paper presents two new methods and associated algorithms for numerically modeling chip geometry and calculating cutting force for parts with free-form surface during 5-axis CNC machining using a flat-end mill. Extending the computational geometry-based Alpha shape method that can only predict cutting chip geometry, a parallel slice local volume modeling approach has been added to


So my math teacher told us that if you have a D in the class and get a 75 on the final she will give you a C in the class, and if you have a E in the class and get a 75 on the final she will give you the D.
You don’t give the D
You take it.
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In summer 2017, children in KS2 were assessed using new SATS tests. The table below shows the outcomes:
Crosby Ravensworth beat the national average for pupils achieving the expected standard in reading, writing and maths combined. (66% compared to 61% nationally)
Crosby Ravensworth beat the national average scaled SATS scores in each subject.
Click here to open up a table comparing the 2017 school leavers with the past two years in Crosby Ravensworth. Comparisons are also made with schools from within Cumbria Local Authority and those nationally.


Mr. Colby's math students,
Thank you for all your hard work this year! In our final lesson, we explored topology and Mobius strips. I hope you enjoy the videos below. Have a wonderful summer. I look forward to seeing you in person in August. Consider joining me any Tuesday or Thursday in July for Summer Math help Zooms from 9:00 to 9:45. Email me for the Zoom link. I think it would be a bad idea for me to post it here. I emailed it to you, but just email me for it if you need it. Thanks!
Math 6A (periods 1, 2, 4, 5 and 6)
You may ask questions or make comments on the discussion boards of your class portal.


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Depending on the modules taken and the grades obtained, completion of these degree programmes at City University can lead to recommendation for exemption from some or all of the Fellowship exams shown.
|Fellowship exam exemptions|
|BSc in Mathematical Science||Core Technical Stage subject: CT3|
|BSc in Mathematical Science with Statistics||Core Technical Stage subjects: CT3, CT6|
|BSc in Mathematical Science with Finance and Economics||Core Technical Stage subjects: CT2, CT7|
|BSc in Mathematics and Finance||Core Technical Stage subjects: CT1, CT2, CT3, CT7|
The School of Engineering and Mathematical Sciences of City University London offers a wide range of degrees and MSc programmes in engineering and mathematics.
For further information see: http://www.city.ac.uk/engineering-maths
For information specifically about Mathematical Science at City University visit: http://www.city.ac.uk/engineering-maths/undergraduate/mathematical-science.
If you are already a member of Cass Business School or City University you will find further information and careers advice from the Centre for Career & Skills Development (City University)
You might also like
Dr Olalla Castro Alvaredo
Programme Director for Mathematics, Senior Lecturer in Mathematics, City University London


For GCSE, AS and A-level courses you will require a scientific calculator. The use of various types of functions on calculators are often restricted in GCSE, AS and A-level papers. If in doubt, check with your teacher or examinations officer that the calculator you intend to purchase is allowed for use with your syllabus.
In general for GCSE a calculator MUST NOT have the following
- retrieval of text or formulae
- QWERTY keyboards
- built-in symbolic algebra manipulations
- symbolic differentiation or integration, language translators
- communication with other machines or the internet.
I would recommend the Casio FX-85 ES calculator as it is easy to use, powerful and excellent value.
For A-Level the Casio FX-991 ES calculator
AS and A-Level Calculators
Generally for AS and A-level you can use a graphics calculator but it MUST NOT have a facility for symbolic algebra, differentiation and/or integration.
I would recommend the Texas TI 83+ calculator
There are some excellent calculators that can do symbolic algebra, differentiation and integration along with many other functions suitable for engineers, surveyors, maths and science professionals.
As a teacher I use the HP 50G calculator
Casio FX-9750GII Graphic Calculator
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It only takes a minute to sign up. After getting the slope which I assume will be an integer how do I get the coordinates of any other arbitrary point on this line? However, there are other equivalent forms. We can make this formula slightly more compact by using vector notation:.
You can find more information about writing lines in three dimensions as vector functions here. When moving on from two- to three-dimensional geometry, we need three different slopes to characterize the line passing through two points.
These can be pictured as the slopes of the "shadows" or projections of the line onto each of the three coordinate planes. Notice that the sum of the squares of these values equals 1. There are other ways in which the behavior of the line in three-dimensional space is described as well.
You can find discussions of the topic of lines and planes in three dimensions as a section in books on analytic geometry or multivariable calculus this hasn't much to do with calculus as such, but that's often where this is treated in the curriculumor online sources. Sign up to join this community.
The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Asked 6 years, 4 months ago. Active 5 years ago. Viewed 79k times. Active Oldest Votes. Louis Hong 7 7 bronze badges. May 11 '19 at Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password.
Post as a guest Name.So, before we get into the equations of lines we first need to briefly look at vector functions. At this point all that we need to worry about is notational issues and how they can be used to give the equation of a curve. The best way to get an idea of what a vector function is and what its graph looks like is to look at an example.
So, consider the following vector function. A vector function is a function that takes one or more variables, one in this case, and returns a vector.
Note as well that a vector function can be a function of two or more variables. However, in those cases the graph may no longer be a curve in space. The vector that the function gives can be a vector in whatever dimension we need it to be. Now, we want to determine the graph of the vector function above.
So, to get the graph of a vector function all we need to do is plug in some values of the variable and then plot the point that corresponds to each position vector we get out of the function and play connect the dots. Here are some evaluations for our example.
Slope Of A Line In 3d
So, each of these are position vectors representing points on the graph of our vector function. The points. In this case we get an ellipse. It is important to not come away from this section with the idea that vector functions only graph out lines. Okay, we now need to move into the actual topic of this section.
In this case we will need to acknowledge that a line can have a three dimensional slope. So, we need something that will allow us to describe a direction that is potentially in three dimensions. We already have a quantity that will do this for us. Vectors give directions and can be three dimensional objects. It can be anywhere, a position vector, on the line or off the line, it just needs to be parallel to the line. This is called the vector form of the equation of a line.
There are several other forms of the equation of a line. This set of equations is called the parametric form of the equation of a line. The only difference is that we are now working in three dimensions instead of two dimensions. In the vector form of the line we get a position vector for the point and in the parametric form we get the actual coordinates of the point.
There is one more form of the line that we want to look at.AP has it right. The term "slope" is really a 2D term. This assuming the terrain is laid out in the xy plane with height as z. The parameteric equations based on "t" for which AP gives examples are in my opinion the right way to represent 3D lines.
If you take those 3 equations:. Log In.
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Back to Math and Physics. How do you find the slope of a 3D line? Math and Physics Programming. AbsolutDew Cancel Save. Waverider Assuming the line is made up of x, y, zand y is up, we need to take the offset along the x-z plane and divide it into the vertical offset, y.
I don't want to send anyone off a cliff here It's not what you're taught, it's what you learn. AFAIK there isn''t really any such thing as "slope" for a 3d line. If you don''t know this stuff, i suggest you pick up a good math book, actually calc books generally have these basics, but others geom? LessBread IIRC the slope of a line is the first order derivative of it''s formula. Offhand looking at AP''s post the only correction I would make is changing the sign of the z coefficient.
But it''s been a while since I''ve done any 3d calculus. So its really analogous to the 2D "slope" except that you''re using this parameter value t instead of a coordinate x in the equation. This topic is closed to new replies. EBZ 8.Slope Of A Line In 3d. Conic Sections: Ellipse with Foci.
The version with six parameters allows the line to be placed anywhere within XYZ space. Dr is sum of cosines of angles made by the line with each axis multiplied by some constant.
The problem is how to compute the slope according to x,y and z at point? For this I have two 3D co-ordinates. The effects of these advanced blade techniques on the performance of the transonic 1. Don't forget to add point and line codes if needed for your design.
To List the Slope or Grade Between Points
Symbol automatically calculating the slope. Now if you use the label the slope of a surface the arrow will always point in the direction you want, but the slope will be positive or negative. What is the. Free worked-out solutions. At this point, students knew from their notes on point-slope form that they had to determine the slope of the line that went through these two points. Or, they could use a table and their vertical number lines to find the slope. The geometric intuition for a slope is or our rise for every unit that we move.
Refers to the line from which the side slope is projected. Maths Learning Centre UofA 23, views. This problem first relies on the knowledge of the slope-intercept form of a line,where m is the slope and b is the y-intercept. Once you graph the line, you'll see that the slope is negative because the line goes down from left to right.
In this case we will need to acknowledge that a line can have a three dimensional slope. AFAIK there isn''t really any such thing as "slope" for a 3d line.
Have a play with it first move the point, try different slopes : Now let's discover more. The math "shorthand" for this is a 1,2 and b 5,4. If the upstream conduit is on a mild slope i.
Define and Project Existing Roadway. Approach: To calculate the slope of a line you need only two points from that line, x1, y1 and x2, y2. Kinematic slope stability analysis can be used to evaluate the potential for plane or dip-slope failure, which is sliding along a bedrock discontinuity plane such as beddingand wedge failure, which is sliding along an intersection line of two intersecting discontinuity planes such as bedding and a fault.
The slope drops to 3D1 Hex for the second interval, and continues decreasing until the slope reaches Hex for the penultimate interval, and Hex for the final interval. The table requires one column for class break values and, optionally, a second column of class codes. The slope will be a negative number.Finding the distance d between 2 lines L 1 and L 2 that are given by the parametric equations:.
Two lines calculator. Line 3D geometry - defined by 2 points Line defined by 2 points. Degree Radian. Distance between two points. Line passing through two points.
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A point P x, y, z is on the line L if and only if the direction numbers determined by P 0 and P 1 are proportional to those determined by P 1 and P 2. If the proportionality constant is t we see that the conditions are: The two points of the parametric equation of a line are:. The parametric equations of a line L through the point. Two points formed by the equation of a line also may be written symmetrically as:. Two lines with slopes of a 1b 1c 1 and a 2b 2c 2 are perpendicular to each other if and only if:.
Finding the distance d between 2 lines L 1 and L 2 that are given by the parametric equations: L 1. Step 1 Calculate the cross product of the direction numbersthe result is a vector perpendicular to both lines: Step 2 Find the norm of the vector is a scalar value : Step 3 The unit vector in this direction is:.
Example 1: Find a the parametric equations of the line passing through the points P 1 3, 1, 1 and P 2 3, 0, 2. Example 3: Find the distance between the lines:. Step 1 Cross product of the direction numbers is: Step 2 The norm of the vector is: Step 3 The unit vector in the line direction:. Direction angles, direction cosines and direction numbers.A few specialist influencer marketing agencies, such as IMA and Mediakix have lead the way, though, and as influencer marketing evolves more mainstream agencies will include influencer marketing in their full-service offerings.
This will continue through 2017, with agencies working more with platforms to have a roster of influencer talent available for brands to work with. This is another reason why we expect there to be a movement towards standard pay rates over the coming year rather than simple barter transactions. There seem to be new social media networks built every year. Some thrive, some like Tsu shrink away and eventually die. As bandwidths have improved, more and more social media users have had the opportunity to share visual media.
Older networks, like Facebook and Twitter, have had to adapt to become more visual. Source: mediakixOther social media networks that specialize in sharing images and videos have thrived. In the case of video, YouTube remains dominant (although Facebook has greatly pushed its video content). There has been more of a battle when it comes to static images and photographs. Two of the largest success stories have been Instagram and Snapchat.
Both networks have been successful locations for influencer marketing, and this will probably continue this year. However, there is some degree of overlap between the target audiences of both of these platforms.
Snapchat targets younger followers than Instagram, but that does not mean that Generation Z is not avid Instagram followers too. We see more celebrities and influencers on Instagram than Snapchat, though, and this trend is likely to continue. While the disappearing photos of Snapchat offer some intriguing, innovative possibilities for influencer marketing, there is probably more mileage available from Instagram images that continue to remain visible.
B2B is often the ugly ducking of online marketing, but it is a very important sector, and it is rapidly expanding.Civil 3D Slope Analysis
You do not very often see celebrities participating in B2B marketing, but B2B is actually quite geared towards traditional organic influencer marketing. Quite a few companies participate in content marketing - providing blogs and other articles educating and informing other firms interested in their products. They are beginning to learn that by working with microinfluencers in their niche they can widen the outreach of their content.
As long as they fine tune their target audience and select their influencers well, B2B firms regularly use influencer marketing to attract more visitors to their websites and convert these to increased sales.
In some ways, B2B businesses find influencer meeting to be a new form of networking - just this time they do not get to stand around a bar, telling their stories to anyone who will listen. One change that may happen in 2017 is there being an increase in influencer-created content. Brands may not have as much control over such content as they do with their own posts, but they are beginning to recognize that influencers know their audience best, and have gained their reputations with these audiences for a good reason.
As with much in business, many firms now realize that is often best to stand back from micromanaging and let the experts get on with what you are paying them to do. One area that has held the rise of influencer marketing back has been the fuzziness of its metrics. There is no black and white clear cut way to measure the success of an influencer marketing campaign.
There is a push for there to be more reliability and consistency in the reporting of results. It is likely that the parties will move away from using traditional measures and focus their reporting on the engagement of content.
In one sense celebrities had an advantage over other influencers - nobody truly believed that celebrities were promoting a product out of the goodness of their heart, and thus nobody expected celebrities to be totally authentic.
Niche micro-influencers, on the other hand, have gained their following because of their authenticity. If they try to push a message that clashes with the way their audience thinks, they are doing so at their peril.
A food blogger, who normally promotes the vegan lifestyle, would not match well with a brand like McDonald's, who are renowned for their meat-based burgers. Brands realize this, and 2017 will see more care taken as they try to build up suitable relationships. It also means that influencers who keep their special relationship with their audience untainted are likely to be seen as premium influencers who will be able, in turn, to charge premium rates and handpick the brands that they want to work with.
Social media is truly mobile nowadays. There are now more mobile internet connections than there are desktop ones, and indeed Google has already announced that their mobile search index will take priority over their desktop one at some stage this year. In some cases, store displays change to match the consumers in their proximity. These messages will probably demonstrations to the consumer on how the products directly in front of them can provide value to them. Brands will most likely only trial this in 2017, but it will become more ubiquitous as time goes on.He has also served as executive vice president and chief revenue officer at Fox Interactive Media, as executive vice president of sales and partnerships at AOL Media Networks and in senior sales positions at GeoCities and Disney Online.
He majored in economics at The College of the Holy Cross and serves on the boards of MediaMath, MightyTV and The College of the Holy Cross. Brad is responsible for global product management for the Google Display Network, DoubleClick Bid Manager, DoubleClick Campaign Manager, DoubleClick Audience Center, Gmail monetization, and other emerging display and video advertising businesses. Brad is a frequent guest speaker at industry events and conferences around the world and has been cited in Ad Age, Business Week, and The Wall Street Journal, among many other publications.
Prior to joining Google, Brad held multiple leadership positions at DoubleClick in both the US and Europe. Most recently, he was their Vice President of Product Management responsible for the optimization suite of products used by many leading publishers, agencies, and marketers worldwide.
Brad is an inventor of several patents in the areas of data and privacy. He currently lives in Palo Alto with his wife, twin daughters, and their dog. Henry Blodget is cofounder, CEO, and editor-in-chief of Business Insider, one of the most-read business and tech news sites in the world.
Business Insider is majority owned by Axel Springer, the leading digital publisher in Europe. The site has 80-plus million visitors a month worldwide.
A former top-ranked Wall Street analyst, Henry is often a guest on CNBC, CNN, MSNBC, NPR, and other networks. He has contributed to The Atlantic, Slate, The New York Times, Fortune, New York, the Financial Times, and other publications. During the dot-com boom of the late 1990s, Henry was a top-ranked Wall Street internet analyst. He was later keelhauled by then-Attorney General Eliot Spitzer over conflicts of interest between the research and banking divisions of brokerage firms.
He has led the company as CEO since October 2013 and was appointed Chairman in December 2016. Early in his tenure, Carrigan introduced and implemented a new global strategy that set the company on a path to long-term sustainable growth. Under his leadership, IDG transformed from a print publisher to a leading digital media company and the worldwide leader in the technology event and media space.
Before becoming CEO in 2008, he held senior leadership roles of increasing responsibility at IDG, including President and CEO for its business units in the U.
He also spent four years of his career at America Online, Inc. In early 2017, Bob was appointed by President Obama to serve on the National Security Telecommunications Advisory Committee (NSTAC). Carrigan currently serves as a member of the Board of Directors of IDG. Seth Dallaire is the Vice President of Global Advertising Sales and Marketing at the Amazon Media Group (AMG). He is responsible for growing the advertising business across Amazon. He was promoted from leading the North American Advertising Sales business at AMG in October 2014.
Dallaire joined Amazon in February of 2012 from Yahoo. This is his second tenure at Amazon. His previous role at the Company was in the Business Development group. Dallaire holds a BA from Vassar College and an MBA from New York University.
He lives in San Francisco with his wife Courtney and son Dashiell (13). Carolyn oversees a team of regional leaders, and the teams focused on global partnerships, global agencies, global gaming, and the Creative Shop.
Carolyn also spent seven years at Viacom. Her last role was as Chief Operating Officer and Executive Vice President of U. Prior to Viacom, Carolyn held roles at Primedia, The Walt Disney Company and Accenture Consulting.
She is the Chair of We Day, United Nations, which encourages and supports young people who are creating transformational social change. Carolyn is a member of the 2017 Class of Henry Crown Fellows within the Aspen Global Leadership Network at the Aspen Institute. Carolyn is a member of the Villanova University Board of Trustees, and a trustee of The Montclair Kimberley Academy. She resides in Montclair, New Jersey with Doug, her husband, and Taylor and Kennedy, their twin daughters.


A little chocolate humor to brighten your day.
THIS IS WILD-DO IT!!
YEAR 2015 CHOCOLATE MATHEMATICS:
This is pretty neat how it works out. This is cool chocolate math!!!!!!!
DON'T CHEAT BY SCROLLING DOWN FIRST!
It takes less than a minute. ... Work this out as you read. Be sure you don't read the bottom until you've worked it out! This is not one of those waste of time things. It's fun.
1. First of all, pick the number of times a week that you would like to have chocolate. (try for more than once but less than 10)
2. Multiply this number by 2 (Just to be bold)
3. Add 5. (for Sunday)
4. Multiply it by 50. I'll wait while you get the calculator. …
5. If you have already had your birthday this year add 1765.... If you haven't, add 1764.
6. Now subtract the four-digit year that you were born. You should have a three-digit number. …
The first digit of your answer was your original number (i.e., how many times you want to have chocolate each week).
The next two numbers are…
YOUR AGE! (Oh YES, it IS!!!!!)
THIS IS THE ONLY YEAR (2015) IT WILL EVER WORK, SO SPREAD IT AROUND WHILE IT LASTS.
Travcar's notes about this magical number:
The numbers 1764 and 1765 would each have to be increased by 1 for each additional year past 2015. For example, use 1764 and 1765 for the year 2016.
For all of you disbelievers, here's a proof.
Let the number of times you have chocolate = x
Let the year you were born = y
5. 50(2x+5) + 1765
6. 50(2x+5) + 1765 - y
With a little simple Algebra this equals
100x + 2015 - y
The 100x places the x in the first digit of your answer, for the number of times you have chocolate.
2015 - y, your year of birth, gives you your age!
Return to Travcar's Jokes and E-mail Stores Home Page
Return to Travcar's Saleen Mustang index page
Created September 19, 2015


This is a Tutorial site for school and college students. Programs and technical analysis on BlueJ for ICSE and ISC Students, C programming, C++ programming and Data structure through C programming language are posted here. Engineering college students can get help on C and C++ languages from this site.
It is a composite number in which, the sum of its digits is equal to the sum of the digits in its prime factors. In 378 the sum of the digits is 3+7+8=18. The prime factors of 378 are 2, 3, 3, 3, 7. Here all the prime factors are single digit numbers and their sum is 2+3+3+3+7-18. So 378 is a
smith number. Again if we take the case of 22, the sum of the digits is 2+2=4 and the prime factors are 2 and 11. Since 11 is a two digit number, the sum of the digits of the factors is 2+1+1=4. So 22 is a Smith number.
The first few Smith numbers are: 4, 22, 27, 58, 85, 94, 121, 166, 202, 265, 274, 319, 346,
How to proceed on this program to check Smith number
Firstly sum of the digits of the entered number is to be stored in a variable. Next step is to find out the factors and checking the numbers whether they are prime or not. If found prime factor then the sum of the digits of the factor number is stored in another counter variable and the same process is followed for all prime factor numbers. Whenever any prime factor is found, the original entered number is tried with the same number and the original number is divided by the prime factor number.
Codes of the BlueJ program on Smith number checking
System.out.println(no+ " is not a smith number.");
private int sumOfDigits(int n)
private boolean prime(int n)
public static void main(String args)throws Exception
smith1 obj=new smith1();
Technical analysis of the Smith number checking program
Two variables ‘sum’ and ‘sumfactors’ are used in this program to store sum of the digits of the entered number and sum of the digits of the prime factors of the entered number. Three functions are defined in this program to perform the job of checking Smith number. Function ‘takeNumber()’ takes the number from user, invokes the other function ‘int sumOfDigits()’ which returns the sum of the digits and store in variable ‘sum’. Next the factors are generated and passed to another function ‘boolean prime()’ to check whether the number is prime or not. If any factor is not prime, the process of finding the next factor is continued. If the factor is found to be prime, sum of the digits of the factor number is calculated and stored in the other counter variable ‘sumfactors’. In such case, the process of finding prime factor number is continues with the same factor and the ntered number is reduced by dividing the entered number by the prime factor. At the end both the entered number and the sum of the digits of prime factor numbers are checked .


Ideal of Relations of eta Functions¶
On this site we list the polynomials of a (degrevlex) Gröbner basis of relations among eta functions for various levels.
The relations are expressed as polynomials in variables \(E1, E2\), etc. where for a divisor \(δ\) of a given level \(N\) the variable \(Eδ\) stands for the eta function \(η(δτ)\).
with \(q = q(τ) = \exp(2πiτ)\).
The relations listed by Somos can easily be expressed in terms of the \(Eδ\) variables (i.e. directly in terms of eta functions). These (transformed) relations can be represented in terms of the Gröbner bases from this site. We give a collection of such representations for various entries in the collection of Somos.
The relations have been computed by an implementation of the algorithm samba from “Dancing Samba with Ramanujan Partition Congruences” in the computer algebra system FriCAS and the slimgb (Gröbner bases) algorithm from the system Singular.
All files can be read directly by FriCAS, in particular, reading the
fricassomos*.input files evaluates the representation of relations
from Somos’ list in terms of the Gröbner basis of relations and thus
yields a list of zeros.
for an example of evaluation in FriCAS and
for a FriCAS implementation to translate the notation of Somos into
Details of how exactly the relations have been computed is explained in the article “Construction of all Polynomial Relations among Dedekind Eta Functions of Level N” by Hemmecke and Radu in the Journal of Symbolic Computation. The article is also available as RISC report 18-03.


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This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity--the same as found in James Stewart's market-leading...


Elementary Subject Acceleration
Subject acceleration in math is the practice of providing students the opportunity to work through above grade-level math curriculum sequentially. In order to ensure students have a deep understanding of number sense and readiness for higher level math concepts, other enrichment options should be explored prior to implementing these subject acceleration procedures. In Lakeville Area Schools, students’ math acceleration in kindergarten and first grade is not recommended. Students (K-2) who test out of grade level material may have access to enrichment materials to prepare for possible acceleration in second grade. Students in second grade may be reviewed for subject acceleration after completing two cycles of FastBridge testing. The guidelines below may be used to identify students who may benefit from subject acceleration in math. Families requesting subject acceleration in math should review these guidelines carefully. The elementary gifted specialist at your school is available to help guide the process.
For more information about subject acceleration in math, please download the following documents: