Suppose we wanted to predict the selling price of a house using its size in a...
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Suppose we wanted to predict the selling price of a house using its size in a certain area of a city. A random sample of six houses were selected from the area. The data is presented in the following table with size given in hundreds of square feet, and sale price in hundreds of thousands of dollars. Size (Xi) Price (Y) 6 7 9.5 12 15 18 8.5 12.5 13 21 12 a) Find the least squares estimate for the regression line Y₁ = B₁ + B₁X₁ + €₁. b) What would be your estimate of the sale price for a 2,000 square foot house? c) Estimate the standard deviation of the error term €₁ d) Test the null hypothesis that B₁ = 0 (perform a two-sided test), using a = 0.05. Is the model useful? Suppose we wanted to predict the selling price of a house using its size in a certain area of a city. A random sample of six houses were selected from the area. The data is presented in the following table with size given in hundreds of square feet, and sale price in hundreds of thousands of dollars. Size (Xi) Price (Y) 6 7 9.5 12 15 18 8.5 12.5 13 21 12 a) Find the least squares estimate for the regression line Y₁ = B₁ + B₁X₁ + €₁. b) What would be your estimate of the sale price for a 2,000 square foot house? c) Estimate the standard deviation of the error term €₁ d) Test the null hypothesis that B₁ = 0 (perform a two-sided test), using a = 0.05. Is the model useful?
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a The least squares estimate for the regression line Y Bo B Xi et is given ... View the full answer
Related Book For
John E Freunds Mathematical Statistics With Applications
ISBN: 9780134995373
8th Edition
Authors: Irwin Miller, Marylees Miller
Posted Date:
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