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# 420Exam1Bans - STAT 420 Fall 2007 October 4 2007 Version B...

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STAT 420 Fall 2007 October 4, 2007 Version B Name ______________________________ Exam 1 Page Possible Earned 1 7 2 10 3 11 4 4 5 9 6 10 7 9 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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x 1 x 2 y 1 0 12 1 2 11 2 7 16 2 1 25 3 11 8 3 9 9 4 16 13 4 12 18 5 15 24 1. Consider the following data set: Consider the model Y i = β 0 + β 1 x i 1 + β 2 x i 2 + e i ., i = 1, … , 10. where e i ’s are i.i.d. N ( 0, 2 e σ ) . 5 17 14 Then X T X = ° ° ° ± ² ³ ³ ³ ´ µ 1170 350 90 350 110 30 90 30 10 , ( X T X ) 1 = ° ° ° ± ² ³ ³ ³ ´ µ - - - - 025 0 1 0 075 0 1 0 45 0 45 0 075 0 45 0 775 0 . . . . . . . . . , RSS = Σ ( y y ˆ ) 2 = 126, X T Y = ° ° ° ± ² ³ ³ ³ ´ µ 1350 470 150 , ° ˆ = ° ° ° ± ² ³ ³ ³ ´ µ - 2 9 6 , and SYY = Σ ( y y ) 2 = 306. a) (7) Perform the “significance of regression” test at a 1% level of significance.
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420Exam1Bans - STAT 420 Fall 2007 October 4 2007 Version B...

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