1 Consider an estimated linear regression model with a response Y and four predictors X1, X2, X3, and X4, based on a random sample of 25 sales agents of medical supplies in 3 regions of the province. Y is annual sales in 1000$, X1 in 100$, X2 in 100$, X3 in %, and X4 in 1000$. The regression results are given below. Coefficients Standard Error Intercept -593.53745 259.19585 2.51314 0.31428 1.90595 0.74239 2.65101 -0.12073 X1 X2 X3 X4 4.63566 0.37181 Type your numerical answer here. Find the lower limit of the change in the mean response in dollars, for a unit change in X1 with a 95% confidence level, assuming that the other predictors remain unchanged over the period.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.4: Mathematical Models And Least Squares Analysis
Problem 39E
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1
Consider an estimated linear regression model with a response Y and four predictors X1, X2, X3,
and X4, based on a random sample of 25 sales agents of medical supplies in 3 regions of the
province. Y is annual sales in 1000$, X1 in 100$, X2 in 100$, X3 in %, and X4 in 1000$. The
regression results are given below.
Coefficients Standard Error
Intercept -593.53745 259.19585
2.51314
0.31428
1.90595
0.74239
2.65101
4.63566
-0.12073
0.37181
X1
X2
X3
X4
Type your numerical answer here.
Numbers only
Find the lower limit of the change in the mean response in
dollars, for a unit change in X1 with a 95% confidence
level, assuming that the other predictors remain unchanged
over the period.
Transcribed Image Text:1 Consider an estimated linear regression model with a response Y and four predictors X1, X2, X3, and X4, based on a random sample of 25 sales agents of medical supplies in 3 regions of the province. Y is annual sales in 1000$, X1 in 100$, X2 in 100$, X3 in %, and X4 in 1000$. The regression results are given below. Coefficients Standard Error Intercept -593.53745 259.19585 2.51314 0.31428 1.90595 0.74239 2.65101 4.63566 -0.12073 0.37181 X1 X2 X3 X4 Type your numerical answer here. Numbers only Find the lower limit of the change in the mean response in dollars, for a unit change in X1 with a 95% confidence level, assuming that the other predictors remain unchanged over the period.
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