Midterm 104 Q3&4

Midterm 104 Q3&4 - Midterm Solutions Molin Zhong...

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Midterm Solutions Molin Zhong October 28, 2011 1 Question 3 1.1 Part A d Testscore = 480 . 0 - 5 . 0 × 20 = 380 is the prediction of the classroom’s average test score. 1.2 Part B 2 × - 5 = - 10 The regression predicts that the average test score decreases by 10. 1.3 Part C 2 × 0 . 3 = 0 . 6 is the standard error. 1.4 Part D t-statistic = | - 5 0 . 3 | = | - 16 . 67 | = 16 . 67 > 1 . 96 The t-statistic is greater than 1.96, so we reject the null hypothesis. 1.5 Part E t-statistic = - 5 0 . 3 = - 16 . 67 < - 1 . 65 The t-statistic is less than -1.65, so we reject the null hypothesis. 1.6 Part F 95% confidence interval: - 5 . 0 ± 1 . 96 × 0 . 3 = ( - 5 . 59 , - 4 . 41) 1.7 Part G 90% confidence interval: 2 × ( - 5 . 0 ± 1 . 65 × 0 . 3) = ( - 10 . 99 , - 9 . 01) 1
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1.8 Part H 480 - 5 × 30 = 330 The sample average of test scores is 330. 1.9 Part I R 2 is the percentage of the variation in test score explained by the class size. In this case, the
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This note was uploaded on 02/29/2012 for the course GG 101 taught by Professor Gg during the Spring '12 term at UPenn.

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Midterm 104 Q3&amp;4 - Midterm Solutions Molin Zhong...

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