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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 50yearold 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 10yearold 8room 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 β ˜ + ˜ , where E[ ˜ ] = 0 and E[ ˜˜ T ] = σ 2 I . ( X is assumed to be an n × p matrix.) Suppose that there is anmatrix....
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 Fall '10
 Braun
 Gaussian Elimination, Regression Analysis, #, 50year, 10year, Statistical and Actuarial Sciences

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