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 x2 X3 y 7.1 .68 4 41.53 9.9 .64 1 63.75

x1 x2 X3 y 7.1 .68 4 41.53 9.9 .64 1 63.75 3.6 .58 1 16.38 9.3 .21 3 45.54 2.3 .89 5 15.52 4.6 .00 8 28.55 .2 .37 5 5.65 5.4 .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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