1. (30 points) Using the data, the following equation is estimated for the fall

Question

1. (30 points) Using the data, the following equation is estimated for the fall and second semester students: trmgpa 2.12 0.900 crsgpa+0.0018sat 0.0039 hsperc (0.55) (0.175) (0.0002)(0.0018) n=269, R- 0.465 where trmgpa is term GPA, crsgpa is a weighted average of overall GPA in courses taken, sat is SAT score and hsperc is graduating percentile in high school class defined so that for example, hperp5 means the top five percent of the class). so that, for example, hsperc-5 means the top five percent of the class)

Explanation / Answer

ho: hsperc is not significant. beta4 = 0

h1: hsperc is significant. beta4 < 0

t = beta4/SE_beta4 = -.0039/.0018 = 2.1667

p-value =

with t = -2.1667 and p-value < 0.05, i reject hoat 5% level of significance and conclude that hsperc is significant. beta4 < 0

=T.DIST(-2.1667,269-2,TRUE) 0.015571158

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