A researcher studies the relationship between SAT scores the test taker s
A researcher studies the relationship between SAT scores, the test-taker’s family income (Income), and his/her grade point average (GPA). Data are collected from 24 students. A portion of the data is shown; the entire data set, labeled SAT, can be found on the text website.

Estimate: SAT = β0 + β1Income + β2GPA + .
a. At the 5% significance level, are Income and GPA jointly and individually significant? Show the relevant steps of each test, using the critical value approach.
b. Predict SAT if Income is $80,000 and GPA is 3.5. Use these values for the explanatory variables to construct the 95% prediction interval for the individual SATscore.
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