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420Exam2Aans - STAT 420 Spring 2008 Version A Name ANSWERS...

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STAT 420 Spring 2008 Version A Name ANSWERS . Exam 2 Page Possible Earned 1 4 2 10 3 13 4 16 5 9 6 8 Total 60 Be sure to show all your work; your partial credit might depend on it. No credit will be given without supporting work. The exam is closed book and closed notes. You are allowed to use a calculator and one 8½" x 11" sheet with notes on it. _________________________________________________________________________ Academic Integrity The University statement on your obligation to maintain academic integrity is: If you engage in an act of academic dishonesty, you become liable to severe disciplinary action. Such acts include cheating; falsification or invention of information or citation in an academic endeavor; helping or attempting to help others commit academic infractions; plagiarism; offering bribes, favors, or threats; academic interference; computer related infractions; and failure to comply with research regulations. Rule 33 of the Code of Policies and Regulations Applying to All Students gives complete details of rules governing academic integrity for all students. You are responsible for knowing and abiding by these rules.
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1. Consider the population of high school graduates who were admitted to a particular university during a ten-year time period and who completed at least the first year of coursework after being admitted. We are interested in investigating how well Y, the first year grade point average (GPA), can be predicted by using the following quantities with n = 20 students: X 1 = the score on the mathematics part of the SAT (SATmath) X 2 = the score on the verbal part of the SAT (SATverbal) X 3 = the grade point average of all high school mathematics courses (HSmath) X 4 = the grade point average of all high school English courses (HSenglish) Consider the model of the form: Y i = β 0 + β 1 X i 1 + β 2 X i 2 + β 3 X i 3 + β 4 X i 4 + ε i , i = 1, 2, … , 20, where ε i ’s are independent N ( 0 , σ 2 ) random variables.
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