hw6 - STA 3024 Assignment 6: Form 0 Since its...

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STA 3024 Assignment 6: Form 0 Since its implementation in 2005, the essay portion of the SAT writing test has been severely criticized by those who claim that students’ scores are based almost exclusively on factors such as the length of the essay and the use of long words, without regard to reasoning, organization, or precise use of language. Suppose we want to investigate this claim. We record the number of words ( X 1 ), proportion of words that are eight or more letters ( X 2 ), and score ( Y ) for a random sample of 21 essays from different students. (The essays are graded in whole numbers on a scale of 1–12.) The multiple regression equation, standard errors of the regression coefficients, and multiple regression ANOVA table are shown below. Note: The data presented here is not real, but it is based on a real study. 1 ˆ Y ( X 1 ,X 2 ) = 2 . 40 + 0 . 0137 X 1 + 10 . 28 X 2 (SE of a ) = 2 . 29 (SE of b 1 ) = 0 . 00344 (SE of b 2 ) = 16 . 12 Source df SS MS Regression 2 18.856 9.428
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hw6 - STA 3024 Assignment 6: Form 0 Since its...

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