7. [6.0] 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 following regression output was obtained. ANOVA Source of 55 MS F Regression 3 4.35946 1.453153 10.32614 Residual in 0.703629 0.140726 Total 5.053089 Coefficients Standard Error t Stot P-Value Intercept -0.41107143 0.78230053 -0.52546 0.621721 X1 1.201374247 0.295512951 4.055385 0.008678 0.001629313 0.002147134 0.758832 0.482172 0.001939287 0.002073632 -0.93521 0.392611 X, is the high school GPA. X: is the verbal score on the Scholastic Aptitude Test (SAT). *, is the mathematics score on the SAT. a. What is the sample size? b. Compute the value of coefficient of determination. Compute the multiple standard error of estimate. d. Write out the regression equation. e. Conduct a global test of hypothesis to see if any of the set of regression coefficients could be different from 0. Use the .05 significance level. What is your conclusion? f. Conduct a test of hypothesis for each independent variable. Use the .05 significance level. Would you consider omitting any variable(s)? if so, which one(s]