Montgomery, Peck, and Vining [2006] present data on the number of pounds of steam used per month at a plant. Steam usage is thought to be related to the average monthly ambient temperature. The past...


Montgomery, Peck, and Vining [2006] present data on the number of pounds of steam used per month at a plant. Steam usage is thought to be related to the average monthly ambient temperature. The past year"s usages and temperatures are shown in Table E3.2.


a. Fit a simple linear regression model to the data.


b. Test for significance of regression.


c. Analyze the residuals from this model.


d. Plant management believes that an increase in average ambient temperature of one degree will increase average monthly steam consumption by 10,000 lb. Do the data support this statement?


e. Construct a 99% prediction interval on steam usage in a month with average ambient temperature of 58°F.



TABLE E3.2  Monthly Steam Usage and Average Ambient Temperature






























































Month



Temperature (°F)



Usage/1000



Month



Temperature (°F)



Usage/1000



January



21



185.79



July



68



621.55



February



24



214.47



August



74



675.06



March



32



288.03



September



62



562.03



April



47



424.84



October



50



452.93



May



50



454.68



November



41



369.95



June



59



539.03



December



30



273.98




May 21, 2022
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