An investigation of a die-casting process resulted in the accompanying data on x1= furnace temperature, x2=die close time, and y= temperature difference on the die surface.

a.Hypothesize a first-order model for temperature difference on the die surface (y) as a function of x1(furnace temperature), x2(die close time)

b.Fit the model in part a, to the data using statistical software.

c. Is there sufficient evidence to indicate the overall model is statistically useful for predicting y?

Test using a = .05.

d. Evaluate the model statistic (R squared).

e. Does the data provide sufficient evidence to conclude that x1 and x2 are statistically significant to the model? Report the observed significance level of the test and reach a conclusion using a = .05.

f. Predict the temperature difference resulting from a single experimental run with a furnace temperature of 1300 and a die close time of 7.