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Unformatted text preview: 1 The University of Western Ontario Department of Statistical and Actuarial Sciences SS 3859a Regression Analysis Tutorial 4 1. Consider the property valuation data table.b4 in the MPV library. (a) Fit a multiple regression model relating the sale price ( y ) to lot size ( x 3), number of rooms ( x 6), and age of the home ( x 8). (b) Compute the standard error of the coefficient of age, and obtain a 95% confidence interval for this coefficient. (c) A 50-year-old home in the same area as those in the sample is on a lot of size 3500 square feet and has 7 rooms. Compute a 95% prediction interval for the sale price. Are you extrapolating? (d) Compute a 95% confidence interval for the mean sale price of 10-year-old 8-room homes on 2500 square foot lots (in the same area as the sampled homes). Are you extrapolating? 2. Consider the multiple linear regression model y = X + , where E[ ] = 0 and E[ T ] = 2 I . ( X is assumed to be an n p matrix.) Suppose that there is anmatrix....
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- Fall '10