12. The administrator of a new paralegal program at Seagate Technical College wants toestimate the grade point average (GPA) in the new program. He thought that high schoolGPA, 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 9 students are:High School SAT VerbalGPAStudentSAT MathParalegalGPA3.254804103.2121.802902701.682.894204103.583.815006003.9253.135004903.002.814304602.8272.203204901.658.2.145304802.302.634694402.33Considering the following output.· reg paralegalgpa highschoolgpa satverbal satmathSourcedfMSNumber of obs =F( 3,5) =10.33Model4.35946071.45315357Prob > F0.0139Residual703628528.140725706R-squared0.8610Adj R-squared =0.7776Total5.063089228..632886153Root MSE.37513paralegalgpaCoef.Std. Err.P>|t|[958 Conf. Interval]thighschoolgpa1.201374.2955134.070.010.44173411.961015satverbal.0016293.00214710.760.482-.0038901.0071487satmath-.0019393.0020736-0.940.393-.0072697.0033912-.4110716.7823005-0.530.622-2.4220391.599896consa. Global test of hypothesis: Does it appear that any of the regression coefficients arenot equal to zero? Explain or show your reasoning. b. Test of hypothesis on each independent variable. Would you consider eliminatingthe variables “verbal" and "math"? Let a = 0.05. Explain or show your reasoning.reg paralegalgpa highschoolgpaSourcedfMSNumber of obs -F( 1,7) -34.35Model4.206062314.2060623Prob > F0.0006Residual.8570269277.122432418R-squared.0.8307Adj R-squared -0.8065Total5.063089228.632886153Root MSE.3499paralegalgpaCoef.Std. Err.P>|t|[95% Conf. Interval)highschoolgpa1.158886.19772035.860.001.69135221.626421_cons-.4542376.5541665-0.820.439-1.764633.856158c. The analysis has been rerun without “verbal" and "math". See the above output.How much has R-squared and adjusted R-squared changed from the previousanalysis?d. Why do we prefer to use adjusted R-squared to measure goodness-of-fit of amultiple regression model?

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. The administrator of a new paralegal program at Seagate Technical College wants to estimate the grade point average (GPA) 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 9 students are: SATMoth ol

. The administrator of a new paralegal program at Seagate Technical College wants to estimate the grade point average (GPA) 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 9 students are: SATMoth ol

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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