a. What are the estimated sales for the Bryne store, which has four competitors, a regional population of 0.4 (400,000), and an advertising expense of 30 ($30,000)? Estimated sales
a. What are the estimated sales for the Bryne store, which has four competitors, a regional population of 0.4 (400,000), and an advertising expense of 30 ($30,000)? Estimated sales
MATLAB: An Introduction with Applications
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![The district manager of Jasons, a large discount electronics chain, is investigating why certain stores in her region are performing
better than others. She believes that three factors are related to total sales: the number of competitors in the region, the population in
the surrounding area, and the amount spent on advertising. From her district, consisting of several hundred stores, she selects a
random sample of 30 stores. For each store, she gathered the following information.
y=total sales last year (in $ thousands)
X1 = number of competitors in the region
X2 = population of the region (in millions)
X3 = advertising expense (in $ thousands)
The results of a multiple regression analysis follow.
Analysis of variance
Source
Regression
Residual Error
DF
ss
MS
3,050 1,016.67
2,200
5,250
26
84.62
Total
29
Predictor
Coefficient
14.00
SE Coefficient
t.
2.00
Constant
7.00
X1
-1.00
0.70
-1.43
x2
30.00
5.20
5.77
X3
0.20
0.08
2.50
a. What are the estimated sales for the Bryne store, which has four competitors, a regional population of 0.4 (400,000), and an
advertising expense of 30 ($30,000)?
Estimated sales
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Transcribed Image Text:The district manager of Jasons, a large discount electronics chain, is investigating why certain stores in her region are performing
better than others. She believes that three factors are related to total sales: the number of competitors in the region, the population in
the surrounding area, and the amount spent on advertising. From her district, consisting of several hundred stores, she selects a
random sample of 30 stores. For each store, she gathered the following information.
y=total sales last year (in $ thousands)
X1 = number of competitors in the region
X2 = population of the region (in millions)
X3 = advertising expense (in $ thousands)
The results of a multiple regression analysis follow.
Analysis of variance
Source
Regression
Residual Error
DF
ss
MS
3,050 1,016.67
2,200
5,250
26
84.62
Total
29
Predictor
Coefficient
14.00
SE Coefficient
t.
2.00
Constant
7.00
X1
-1.00
0.70
-1.43
x2
30.00
5.20
5.77
X3
0.20
0.08
2.50
a. What are the estimated sales for the Bryne store, which has four competitors, a regional population of 0.4 (400,000), and an
advertising expense of 30 ($30,000)?
Estimated sales
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![b. Compute the R²-value. (Round your answer to 3 decimal places.)
Coefficient of determination, R
c. Compute the multiple standard error of estimate. (Round your answer to 3 decimal places.)
Multiple standard error of estimate
d-1. State the decision rule. Ho: B, = B, = Ba = 0; H: Not all B's are 0. Use the 0.05 level of significance. (Round your answer to 2
decimal places.)
Ho is rejected if F>
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Transcribed Image Text:b. Compute the R²-value. (Round your answer to 3 decimal places.)
Coefficient of determination, R
c. Compute the multiple standard error of estimate. (Round your answer to 3 decimal places.)
Multiple standard error of estimate
d-1. State the decision rule. Ho: B, = B, = Ba = 0; H: Not all B's are 0. Use the 0.05 level of significance. (Round your answer to 2
decimal places.)
Ho is rejected if F>
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