An investigation of a die-casting process resulted in the accompanying data on x 1 = furnace temperature
Question:
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 Multiple-Objective Decision-Making Approach for Assessing Simultaneous Improvement in Die Life and Casting Quality in a Die Casting Process,” Quality Engineering, 1994: 371–383).
Minitab output from fitting the multiple regression model with predictors x1 and x2 is given here.
a. Carry out the model utility test.
b. Calculate and interpret a 95% confidence interval for β2, the population regression coefficient of x2.
c. When x1 = 1300 and x2 = 7 , the estimated standard deviation of Calculate a 95% confidence interval for true average temperature difference when furnace temperature is 1300 and die close time is 7.
d. Calculate a 95% prediction interval for the temperature difference resulting from a single experimental run with a furnace temperature of 1300 and a die close time of 7.
Probability and Statistics for Engineering and the Sciences
ISBN: 978-1305251809
9th edition
Authors: Jay L. Devore