Monitoring the yield of a particular chemical reaction at various reaction vessel temperatures produces the results shown in the following table. Temp. (?C) Yield (%) Temp. (?C) Yield (%) 150 77.4 250...

Monitoring the yield of a particular chemical reaction at various reaction vessel temperatures produces the results shown in the following table.

a. Find the least-squares estimates for β0, β1, and σ2 for the simple linear model Yield = β0 + β1 Temp +ε.

b. Can you conclude that β0 is not equal to 0?

c. Can you conclude that β1

 is not equal to 0?

d. Make a residual plot. Does the linear model seem appropriate?

e. Find a 95% confidence interval for the slope.

f. Find a 95% confidence interval for the mean yield at a temperature of 225?C.

g. Find a 95% prediction interval for a yield at a temperature of 225?C.