A mail order business uses the weight of mail to predict the number of orders received. The results
Question: A mail order business uses the weight of mail to predict the number of orders received. The results of the simple linear regression analysis from Excel are given below.
SUMMARY OUTPUT | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.932698 | |||||||
R Square | 0.869925 | |||||||
Adjusted R Square | 0.856918 | |||||||
Standard Error | 0.839872 | |||||||
Observations | 12 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 1 | 47.17532 | 47.17532 | 66.8788 | 9.71E-06 | |||
Residual | 10 | 7.053852 | 0.705385 | |||||
Total | 11 | 54.22917 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 0.88991 | 1.073448 | 0.82902 | 0.426438 | -1.50188 | 3.281701 | -1.50188 | 3.281701 |
Weight | 0.027048 | 0.003307 | 8.177946 | 9.71E-06 | 0.019679 | 0.034418 | 0.019679 | 0.034418 |
a. At the 0.05 level of significance, is there evidence of a linear relationship between the weight of mail and the number of orders received?
b. Construct a 95% confidence interval estimate of the population slope β1.
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Deliverables: Word Document
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