Refer to the data on x = liberation rate and y = NOx emission rate given in Exercis...

Refer to the data on x = liberation rate and y = NO_x emission

rate given in Exercise 19.

a. Does the simple linear regression model specify a useful relationship between the two rates? Use the appropriate test procedure to obtain information about the P-value, and then reach a conclusion at significance level .01.

b. Compute a 95% CI for the expected change in emission rate associated with a 10 MBtu/hr-ft² increase in liberation rate.

Reference exercise 19

The following data is representative of that reported in the article “An Experimental Correlation of Oxides of Nitrogen Emissions from Power Boilers Based on Field Data” (J. of Engr. for Power, July 1973: 165–170), with x = burner-area liberation rate (MBtu/hr-ft²) and y = NO_x emission rate (ppm):

a. Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line.

b. What is the estimate of expected NO_x emission rate when burner area liberation rate equals 225?

c. Estimate the amount by which you expect NO_x emission rate to change when burner area liberation rate is decreased by 50.

d. Would you use the estimated regression line to predict emission rate for a liberation rate of 500? Why or why not?