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Q: Is it true to do linear regression there must be paired scores on two variables?
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How do you plot linear regression line?

Linear regression looks at the relationship between two variables, X and Y. The regression line is the "best" line though some data you that you or someone else has collected. You want to find the best slope and the best y intercept to be able to plot the line that will allow you to predict Y given a value of X. This is usually done by minimizing the sum of the squares. Regression Equation is y = a + bx Slope(b) = (NΣXY - (ΣX)(ΣY)) / (NΣX2 - (ΣX)2) Intercept(a) = (ΣY - b(ΣX)) / N In the equation above: X and Y are the variables given as an ordered pair (X,Y) b = The slope of the regression line a = The intercept point of the regression line and the y axis. N = Number of values or elements X = First Score Y = Second Score ΣXY = Sum of the product of first and Second Scores ΣX = Sum of First Scores ΣY = Sum of Second Scores ΣX2 = Sum of square First Scores Once you find the slope and the intercept, you plot it the same way you plot any other line!


How do you plot regression line?

Linear regression looks at the relationship between two variables, X and Y. The regression line is the "best" line though some data you that you or someone else has collected. You want to find the best slope and the best y intercept to be able to plot the line that will allow you to predict Y given a value of X. This is usually done by minimizing the sum of the squares. Regression Equation is y = a + bx Slope(b) = (NΣXY - (ΣX)(ΣY)) / (NΣX2 - (ΣX)2) Intercept(a) = (ΣY - b(ΣX)) / N In the equation above: X and Y are the variables given as an ordered pair (X,Y) b = The slope of the regression line a = The intercept point of the regression line and the y axis. N = Number of values or elements X = First Score Y = Second Score ΣXY = Sum of the product of first and Second Scores ΣX = Sum of First Scores ΣY = Sum of Second Scores ΣX2 = Sum of square First Scores Once you find the slope and the intercept, you plot it the same way you plot any other line!


What is the difference between multivariate regression and multiple regression?

Although not everyone follows this naming convention, multiple regression typically refers to regression models with a single dependent variable and two or more predictor variables. In multivariate regression, by contrast, there are multiple dependent variables, and any number of predictors. Using this naming convention, some people further distinguish "multivariate multiple regression," a term which makes explicit that there are two or more dependent variables as well as two or more independent variables.In short, multiple regression is by far the more familiar form, although logically and computationally the two forms are extremely similar.Multivariate regression is most useful for more special problems such as compound tests of coefficients. For example, you might want to know if SAT scores have the same predictive power for a student's grades in the second semester of college as they do in the first. One option would be to run two separate simple regressions and eyeball the results to see if the coefficients look similar. But if you want a formal probability test of whether the relationship differs, you could run it instead as a multivariate regression analysis. The coefficient estimates will be the same, but you will be able to directly test for their equality or other properties of interest.In practical terms, the way you produce a multivariate analysis using statistical software is always at least a little different from multiple regression. In some packages you can use the same commands for both but with different options; but in a number of packages you use completely different commands to obtain a multivariate analysis.A final note is that the term "multivariate regression" is sometimes confused with nonlinear regression; in other words, the regression flavors besides Ordinary Least Squares (OLS) linear regression. Those forms are more accurately called nonlinear or generalized linear models because there is nothing distinctively "multivariate" about them in the sense described above. Some of them have commonly used multivariate forms, too, but these are often called "multinomial" regressions in the case of models for categorical dependent variables.


Are quiz scores discrete or continuous variables?

Quiz and exam scores are discrete variables because they are defined as one exact number.


A correlation of -0.90 between two sets of test scores indicates that?

There is quite a high degree of linear agreement between the two variables with one showing an increase when the other shows a decrease.


Are ESG scores considered categorical or quantitative?

In my research I consider ESG socres predictors (independent variables). The data will be retrieved from Refinitv and I have doubt on whether ESG scores are categorical or quantitative data. I cannot choose the appropriate statistical test without being sure about this info. If predictor is categorical, then I choose MANOVA If predictor is quantitative, then the choice would be MULTIPLE REGRESSION analysis. Please, if you have time to answer, it would be a huge help getting a clear answer. Thank you.


Which type of graph is best suited for relating data from two different variables like students' math test scores versus their reading test scores?

scatter plot


What is standardized variables?

A variable that has been transformed by multiplication of all scores by a constant and/or by the addition of a constant to all scores. Often these constants are selected so that the transformed scores have a mean of zero and a variance (and standard deviation) of 1.0.


How does correlation help scientists?

The principal advantage over casual comparative or experimental designs is that they enable researchers to analyze the relationships among a large number of variables in a single study. Another advantage of correlational designs is that they provide information concerning the degree of the relationship between the variables being studied. Correlational research designs are used for two major purposes: (1) to explore casual relationship between variables and (2) to predict scores on one variable from research participants' scores on other variables.


How does the scoring for the Pebble Beach Pro-Am work?

Since the pro players are paired with amateurs (the celebrities) the combined scores of the two players are added for the total score to win the tournament. The pro golfer and the amateur with the best individual scores are also awarded a prize which goes to the charity that the celebrity is playing for.


How do statisticians use algebra?

One example is linear transformations, which are a key element of statistics. The fact that a linear transform of a Normal variabe is also a normal variable is central to the use of z-scores for calculating normal probabilities and so for hypothesis testing.


What are examples of dependent and independent variables in sports?

For example, the amount of goals a team scores depends on the amount of games the team get to play. So, the independent variable would be number of games in a season and the dependent variable would be how many goals the team scores in this situation.