q2_08

# q2_08 - The University of Western Ontario Department of...

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Unformatted text preview: The University of Western Ontario Department of Statistical and Actuarial Sciences Statistical Sciences 3859A Quiz 2 Time Allowed: 50 Minutes Total Marks Available: 20 1. House prices were regressed against the area and number of bedrooms: y = β + β 1 x 1 + β 2 x 2 + ε where ε satisfies the usual regression assumptions, x 1 is area, x 2 is number of bedrooms and y is selling price. The computer output below is the result of fitting this model: Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -141.76132 67.87204-2.089 0.05872 area 0.14255 0.04697 3.035 0.01038 Bedrooms 58.32375 14.75962 3.952 0.00192 Residual standard error: 33.06 on 12 degrees of freedom (a) Write out the fitted model relating house price to area and number of bedrooms. (b) Find simultaneous 90% confidence intervals for β 1 and β 2 . 2. Consider the multiple regression model y ˜ = X β ˜ + ε ˜ (1) where the usual assumptions have been made, and where β ˜ is a vector of 5 coefficients....
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q2_08 - The University of Western Ontario Department of...

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