Exam 3

Exam 3

Problem 1

Solution

In this data set the SAT exams results has collected for 50 students who secured different scores. For this multiple regression analysis is a better statistical techniques which will help to identify the relationship between the dependent and independent variable. For this, we need dependent and independent variables. In this data set, the SAT combined scored is a dependent variable whereas the Expend, Salary, PctAct and PTratio are the independent variables.

This can be possible by using the SPSS software.

Analyze- Regression-Linear

With all four independent variables, the variance value are different according to their data set. The highest variance has noticed in Pct Act, whereas the lowest variance is 2. The overall variance of all four variables is 189.66 which describe the overall variance of all four independent variables.

Expend

Ptratio

Salary

PctAct

Total

2.000408

5.136363

35.29863

716.2269

189.6656

For model 1 with all 4 predictor variables in the equation, the standard error of estimates is 32.702 which define the outliers of all the variables.

From the print out 1, testing the significance of PT ratio has defines the overall significance level of the PTratio values that have used in this data set. The value is -1.127 which defines the negative relationship with the Y variable.

Each unit has increase in Expend, for this the Y value has also enhanced due to all these factors. The Expend value of Y is increase up to 4.861 which is greater among the other values.

The standard deviation value has changed due to their data set values. In salary, the standard deviation value is 5.95, and it positively affects the independent variables.

The predictor variables are significant if they have a positive relationship with the y variables that are slope. In this data set, PctAct has the strongest ...