Question: 47. a. Fit a multiple linear regression equation to the following data set. b. Test the hypothesis that 0 = 0. c. Test the hypothesis

47.

a. Fit a multiple linear regression equation to the following data set.

b. Test the hypothesis that β0 = 0.

c. Test the hypothesis that β3 = 0.

d. Test the hypothesis that the mean response at the input levels x1 = x2 = x3 = 1 is 8.5.

x1 12 13 y 7.1 .68 4 41.53 9.9 .64 1 63.75

x1 12 13 y 7.1 .68 4 41.53 9.9 .64 1 63.75 3.6 .58 1 16.38 9.3 .21 .21 3 45.54 2.3 89 5 15.52 4.6 .00 8 28.55 .2 .37 5 5.65 5.4 .11 .11 3 25.02 8.2 .87 4 52.49 7.1 .00 6 38.05 4.7 .76 0 30.76 5.4 .87 8 39.69 1.7 .52 1 17.59 1.9 .31 3 13.22 9.2 .19 5 50.98

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