Requesting all sections a to g answered for question 1. 1. The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table:
Requesting all sections a to g answered for question 1.
1. The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table:
| Month | Temp | Usage/1000 | Month | Temp | Usage/1000 |
| Jan | 21 | 185.79 | Jul | 68 | 621.55 |
| Feb | 24 | 214.47 | Aug | 74 | 675.06 |
| Mar | 32 | 288.03 | Sept | 62 | 562.03 |
| Apr | 47 | 424.84 | Oct | 50 | 452.93 |
| May | 50 | 454.58 | Nov | 41 | 369.95 |
| Jun | 59 | 539.03 | Dec | 30 | 273.98 |
a. Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of σ2?
b. What is the estimate of expected stem usage when the average temperature is 55 F?
c. What change in mean stem usage is expected when the monthly average temperature changes by 1 F?
d. Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual.
e. Test for significance of regression using α=0.01 (Use ANOVA).
f. Calculate the r2 of the model.
g. Find a 99% CI for β1.
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