An electric utility is interested in developing a model
Chapter 11, Problem 89E(choose chapter or problem)
An electric utility is interested in developing a model relating peak-hour demand (y in kilowatts) to total monthly energy usage during the month (x, in kilowatt hours). Data for 50 residential customers are shown in the Table E11-12.
Draw a scatter diagram of y versus x.Fit the simple linear regression model.
Test for significance of regression using \(\alpha=0.05\). Plot the residuals versus \(\hat{\mathrm{y}}_{\mathrm{i}}\) and comment on the underlying regression assumptions. Specifically, does it seem that the equality of variance assumption is satisfied? Find a simple linear regression model using \(\sqrt{y}\) as the response. Does this transformation on y stabilize the inequality of variance problem noted in part (d)?
Equation Transcription:
Text Transcription:
\alpha=0.05
\hat y_i
\sqrt y
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