HW 2 - BIT 2406 HW Answers Assignment#2 1 Problem 11.57 a...

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BIT 2406 HW Answers Assignment #2 1. Problem 11.57 a. 1025339.667; 746.7623752; 1024592.904; r 2 = .999; r = .999; 99.9% of the variation in the observations has been explained by the regression model. b. T = 117.134, p-value = .000; Reject H 0 . 2. Problem 11.89 a. There is a relationship since F = 21.13 with a p-value of .0002 b. b 1 = 35.2877, [19.2202,51.3553] 3. Problem 12.6 a. The plot of price versus size has a straight line appearance and thus the model y = ! 0 + ! 1 x 1 + " is appropriate. The plot of price versus rating has a straight line appearance. The model y = ! 0 + ! 1 x 1 + " is appropriate. Combining these two models, we obtain the model y = ! 0 + ! 1 x 1 + ! 2 x 2 + " . b. The mean of the sales prices of all houses having 20 hundred square feet and a niceness rating of 9. c. ! 0 = mean sales price of all houses having 0 sq.ft and 0 niceness rating – meaningless ! 1 = change in mean sales price associated with each increase in house size of 100 sq.ft., when niceness rating stays constant. ! 2
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