The administrator of a new paralegal program at Seagate Technical College wants to estimate the grade point average in the new program. He thought that high school GPA, the verbal score on the Scholastic Aptitude Test (SAT), and the mathematics score on the SAT would be good predictors of paralegal GPA. The data on nine students are: Use statistical software to replicate the following correlation matrix. DpictureClick here for the Excel Data File. a-1. Which variable has the strongest correlation with the dependent variable? The strongest conetation is befween Paralegal GPA and SAT math score b. Use statistical software to replicate the following regression analysis with all the independent variables. Compute the coefficient of multiple determination. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) The regression equation is Paralegal GPA =0.411+1.20 HSGPA +0.00163 SAT_Verbal 0.00194 SAT_Math Conduct a global test of hypothesis from the preceding output. c-1. State the decision rule at the 0.05 level of significance. (Round your answer to 2 decimal places.) c-2. Compute the value of F. (Round your answer to 2 decimal places.) c-3. Does it appear that any of the regression coefficients are not equal to zero? d-1. Using 0.05 significance level conduct a test of hypothesis on each independent variable. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) d.2. Would you consider eliminating the variables "SAT_Verbar" and "SAT_Math"? After eliminating the insignificant variables, the analysis was rerun. See the following output. e-1. Writeout the regression equation. (Negative amounts should be indicated by a minus sign. Round your answer to 4 decimal places.) e-2. Compute the coefficient of determination. (Round your answer to 4 decimal places.) e-3. How much has R2 changed from the previous analysis? (Round your answer to 4 decimal places.) 9. Following is a plot of the residuals and the y values. Do you see any violation of the assumptions