Question: The number of pounds of steam used per month at a plant is thought to be related to the average monthly ambient temperature. The past year's usages and temperatures follow.
a. Fit a simple linear regression model to the data.
b. Test for significance of regression.
c. Plant management believes that an increase in average ambient temperature of 1 degree will increase average monthly steam consumption by 10,000 lb. Do the data support this statement?
d. Construct a 99% prediction interval on steam usage in a month with average ambient temperature of 58°.
