I need help with this problem. Please show step by step to understand it The administrator of a new paralegal program at a community college wants to predict theGPA in the new program. He believes that the high school GPA, the verbal score on theSedholastic Aptitude Test (SAT), and the mathematics score on the SAT would be goodpredictors of paralegal GPA. The data on nine students are:GPA, the verbal score on the Scholastic Aptitude Test (SAT), and the mathematics scoreon the SAT would be good predictors of paralegal GPA. The data on nine students are:a.Student1.2345PredictorConstantдраverbalmath678High schoolGPAErrorTotal410270420 410500600500 49043046032049053048092.63469 440Source: Plan Administrator, Community and Technical College,University of Toledo, Ohio.драverbalmath3.251.802.893.813.132.812.202.14legal0.911The regression equation islegal =-0.4111.20 gpaThe MINITAB software system was used to generate the following output.The following correlation matrix was obtained. Which variable has the strongestcorrelation with the dependent variable? Some of the correlations among theIndependent variables are strong. Does this appear to be a problem?0.6160.487CAT SATverbal mathCoef-0.41111.20144802900.001629-0.001939gpa0.6090.636ParalegalGPAb. Consider the following output. Compute the coefficient of multiple determination.3.211.683.583.920.0021470.002074Analysis of VarianceSOURCEDFSSMSRegression 3 4.3595 1.45325 0.7036 0.140785.06313.002.821.652.302.33verbal0.5990.00163 verbal -0.00194 mathStdev0.78230.2955t-ratio-0.534.070.76-0.94 f.9.C.d.0.Conduct a global test of hypothesis from the preceding output. Does it appear thatany of the regression coefficients are not equal to zero?Conduct a test of hypothesis on each independent variable. Would you considereliminating the variables "verbal" and "math"? Let a .05.The regression equation islegal-0.454 1.16 gpaErrorTotalThe analysis has been rerun without "verbal" and "math." See the following output.Compute the coefficient of determination. How much has R² changed from theprevious analusis?PredictorCoefConstant-0.4542gpa1.1589Analysis of VarianceSOURCEDFSSRegression. 1 4.206178Residuals (Y-Y')Following are a histogram and a ster-and-leaf diagram of the residuals. Does thenormality assumption for the residuals seem reasonable?12(3)4211Histogram of residual N = 9Midpoint Count-0.4-0.20.00.20.40.6-04-020.85705.0631-0 1100 0002006Stdev0.55420.1977Stem-and-leaf of residual N = 9Leaf Unit0.100.700.35E0.00-0.35MS4.20610.12241.33101 .t-ratio-0.825.86Following is a plot of the residuals and the Y' values. Do you see any violation ofthe assumptions?11.50 2.00 2.50 3.00 3.50 4.00Y'

Question

I need help with this problem. Please show step by step to understand it The administrator of a new paralegal program at a community college wants to predict theGPA in the new program. He believes that the high school GPA, the verbal score on theSedholastic Aptitude Test (SAT), and the mathematics score on the SAT would be goodpredictors of paralegal GPA. The data on nine students are:GPA, the verbal score on the Scholastic Aptitude Test (SAT), and the mathematics scoreon the SAT would be good predictors of paralegal GPA. The data on nine students are:a.Student1.2345PredictorConstantдраverbalmath678High schoolGPAErrorTotal410270420 410500600500 49043046032049053048092.63469 440Source: Plan Administrator, Community and Technical College,University of Toledo, Ohio.драverbalmath3.251.802.893.813.132.812.202.14legal0.911The regression equation islegal =-0.4111.20 gpaThe MINITAB software system was used to generate the following output.The following correlation matrix was obtained. Which variable has the strongestcorrelation with the dependent variable? Some of the correlations among theIndependent variables are strong. Does this appear to be a problem?0.6160.487CAT SATverbal mathCoef-0.41111.20144802900.001629-0.001939gpa0.6090.636ParalegalGPAb. Consider the following output. Compute the coefficient of multiple determination.3.211.683.583.920.0021470.002074Analysis of VarianceSOURCEDFSSMSRegression 3 4.3595 1.45325 0.7036 0.140785.06313.002.821.652.302.33verbal0.5990.00163 verbal -0.00194 mathStdev0.78230.2955t-ratio-0.534.070.76-0.94 f.9.C.d.0.Conduct a global test of hypothesis from the preceding output. Does it appear thatany of the regression coefficients are not equal to zero?Conduct a test of hypothesis on each independent variable. Would you considereliminating the variables &#34;verbal&#34; and &#34;math&#34;? Let a .05.The regression equation islegal-0.454 1.16 gpaErrorTotalThe analysis has been rerun without &#34;verbal&#34; and &#34;math.&#34; See the following output.Compute the coefficient of determination. How much has R² changed from theprevious analusis?PredictorCoefConstant-0.4542gpa1.1589Analysis of VarianceSOURCEDFSSRegression. 1 4.206178Residuals (Y-Y')Following are a histogram and a ster-and-leaf diagram of the residuals. Does thenormality assumption for the residuals seem reasonable?12(3)4211Histogram of residual N = 9Midpoint Count-0.4-0.20.00.20.40.6-04-020.85705.0631-0 1100 0002006Stdev0.55420.1977Stem-and-leaf of residual N = 9Leaf Unit0.100.700.35E0.00-0.35MS4.20610.12241.33101 .t-ratio-0.825.86Following is a plot of the residuals and the Y' values. Do you see any violation ofthe assumptions?11.50 2.00 2.50 3.00 3.50 4.00Y'

Accepted Answer

a)
From the given correlation matrix,
Corr(gpa, legal)=0.911
Corr(verbal, legal)=0.616
Corr(verbal,…