An investigation of a die-casting process resulted in the accompanying data on X

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 1250 1300 1350 1250 1300 1250 1300 1350 1350 6 8 80 95 101 85 92 87 96 106 108 Minitab output from fitting the multiple regression model with predictors x1 and x2 is given here The regression equation is tempdiff--200 + 0.210furntemp 3.00clostime Predictor Constant furntemp clostime Coef -199.56 0.210000 3.0000 Stdev 11.64 0.008642 0.4321 t-ratio -17.14 24.30 6.94 0.000 0.000 0.000 -98.8% S1.058 R-sq 99.1% R-sq (adj) - Analysis of Variance SOURCE Regression Error Total MS 357.75 1.12 DE 715.50 6.72 722.22 319.31 0.000 (a) Carry out the model utility test State the appropriate hypotheses Hai at least one ,-0 Hai all = 0 Hai at least one . 0 H0: 1 = 2 = 0 Hai no -0 State the appropriate test statistic to two decimal places.

Explanation / Answer

a)
hypothesis
D) is correct

TS = 319.31

conclusion
option D) is correct

b)
confidence interval of b2
1.942638467   4.057361533
interpret
option B) is correct

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