ECON2P91_ReviewQuestions_No2_Solutions_Fall2009

ECON2P91_ReviewQuestions_No2_Solutions_Fall2009 -...

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Unformatted text preview: 1ECON2P91: Review Questions No. 2 1. Textbook Chapter 4 Page 137 q. 4.1 (a) The predicted average test score is 520 4 5 82 22 392 36 TestScore = . - . = . (b)The predicted change in the classroom average test score is ( 5 82 19) ( 5 82 23) 23 28 TestScore = - . - - . = . (c) Using the formula for in Equation (4.8), we know the sample average of the test scores across the 100 classrooms is 1 520 4 5 82 21 4 395 85 TestScore CS = + = . - . . = . . (d)Use the formula for the standard error of the regression (SER) in Equation (4.19) to get the sum of squared residuals: 2 2 ( 2) (100 2) 11 5 12961 SSR n SER =- =- . = . Use the formula for 2 R in Equation (4.16) to get the total sum of squares: 2 2 12961 13044 1 1 0 08 SSR TSS R = = = .-- . The sample variance is 2 Y s = TSS 13044 1 99 131 8. n- = = . Thus, standard deviation is 2 11 5. Y Y s s = = . 2. Textbook Chapter 4 Page 137 q. 4.2 The sample size 200. n = The estimated regression equation is 2 (2 15) 99 41 (0 31) 3 94 0 81 SER 10 2 Weight Height R = .- . + . . , = . , = . . (a) Substituting 70, 65, and 74 Height = inches into the equation, the predicted weights are 176.39, 156.69, and 192.15 pounds. (b) 3 94 3 94 1 5 5 91. Weight Height = . = . . = . (c) We have the following relations: 1 2 54 and 1 0 4536 . in cm lb kg = . = . Suppose the regression equation in the centimeter-kilogram space is 1 Weight Height = + ....
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This note was uploaded on 04/28/2011 for the course ECON 2P91 taught by Professor Ogwang during the Winter '09 term at Brock University, Canada.

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ECON2P91_ReviewQuestions_No2_Solutions_Fall2009 -...

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