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HW7-Solutions

# HW7-Solutions - STAT 101 Agresti Homework 7 Solutions...

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STAT 101 - Agresti Homework 7 Solutions 11/1/10 Chapter 9 9.1. (a) y = college GPA. (b) y = number of children. (c) y = annual income. (d) y = assessed value of home. 9.3. (a) The y -intercept is 61.4, and the slope is 2.4. For each additional centimeter in length of the femur, predicted height increases by 2.4 centimeters. (b) ˆ y = 61.4 + 2.4(50) = 181.4 cm. 9.7. (a) (i) ˆ y = 1.26 + 0.346(0.8) = 1.54; (ii) ˆ y = 1.26 + 0.346(34.3) = 13.1. (b) ˆ y y - = 19.7 – 13.1 = 6.6; the U.S. is producing 6.6 metric tons per capita more in CO 2 emissions than predicted by the regression line. (c) ˆ y = 1.26 + 0.346(28.1) = 11.0; ˆ y y - = 5.7 – 11.0 = –5.3; Switzerland is producing 5.3 metric tons per capita less in CO 2 emissions than predicted by the regression line. 9.10. (a) The point for Palm Beach county appears to be an outlier, with more votes for Buchanan than we would expect based on the number of votes for Perot. (b) ˆ y = 45.7 + 0.02414(30,739) = 788; ˆ y y - = 3407 – 788 = 2619; the number of Buchanan votes in Palm Beach county is 2619 higher than we would predict with the regression equation. (c) The two rightmost points follow the pattern of the regression line for the rest of the data, whereas the top point is quite far from the trend that the rest of the data follow.

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