(Solved): a. Hypothesize a first-order model for temperature difference on the die surface (y) as a funct ...

a. Hypothesize a first-order model for temperature difference on the die surface $(y)$ as a function of $x_1$ (furnace temperature), $x_2$ (die close time) b. Fit the model, 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 $?=.05$. d. Evaluate the model statistic ( $R$ squared). e. Do the data provide sufficient evidence to conclude that $x_1$ and $x_2$ are statistically significant to the model? Report the observed significance level of the test and reach a conclusion using $?=$. f. Predict the temperature difference resulting from a single experimental run with a furnace temperature of 1250 and a die close time of 8 . g. Under a fixed die close time, when the furnace temperature increases, do you expect to see a higher or a lower on-surface temperature difference? Justify your answer.