a The director of admissions of a small college selected 120 students at random from the new freshman class in a study t

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A The Director Of Admissions Of A Small College Selected 120 Students At Random From The New Freshman Class In A Study T 1 (239.07 KiB) Viewed 71 times

a The director of admissions of a small college selected 120 students at random from the new freshman class in a study to determine whether a student's grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test score (X1). An assistant to the director of admissions conjectured that the predictive power of the model could be improved by adding information on whether the student had chosen a major field of concentration at the time the application was submitted. X1 is entrance test score. and X2 = 1 if student had indicated a major field of concentration at the time of application and 0 if the major field was undecided. (Use R for calculations but make the necessary explanations in your own words.) a. Fit the regression model and state the estimated regression function. b. How do we interpret B2? c. Test whether the X2 variable can be dropped from the regression model; use a = 0.01. State the alternatives, decision rule, and conclusion.