Mumbai Electronics is planning to extend its marketing region from the western United States to include the midwestern states. In order to predict its sales in this new region, the company has asked you to develop a linear regression of DVD system sales on price, using the following data supplied by the marketing department: Sales 418 384 343 407 432 386 444 427 Price 98 194 231 207 89 255 149 195 (a) Use an unbiased estimation procedure to find an estimate of the variance of the error terms in the population regression. (b) Use an unbiased estimation procedure to find an estimate of the variance of the least squares estimator of the slope of the population regression line. (c) Find a 90% confidence interval for the slope of the population regression line.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Mumbai Electronics is planning to extend its marketing region from the western United
States to include the midwestern states. In order to predict its sales in this new region, the
company has asked you to develop a linear regression of DVD system sales on price, using
the following data supplied by the marketing department:
Sales 418 384 343 407 432 386 444 427
Price 98 194 231 207 89 255 149 195
(a) Use an unbiased estimation procedure to find an estimate of the variance of the error
terms in the population regression.
(b) Use an unbiased estimation procedure to find an estimate of the variance of the least
squares estimator of the slope of the population regression line.
(c) Find a 90% confidence interval for the slope of the population regression line.
Transcribed Image Text:Mumbai Electronics is planning to extend its marketing region from the western United States to include the midwestern states. In order to predict its sales in this new region, the company has asked you to develop a linear regression of DVD system sales on price, using the following data supplied by the marketing department: Sales 418 384 343 407 432 386 444 427 Price 98 194 231 207 89 255 149 195 (a) Use an unbiased estimation procedure to find an estimate of the variance of the error terms in the population regression. (b) Use an unbiased estimation procedure to find an estimate of the variance of the least squares estimator of the slope of the population regression line. (c) Find a 90% confidence interval for the slope of the population regression line.
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