(a) Fit a multiple linear regression equation to the

Chapter , Problem 47

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QUESTION:

(a) Fit a multiple linear regression equation to the following data set. (b) Test the hypothesis that 0 = 0. (c) Test the hypothesis that 3 = 0. (d) Test the hypothesis that the mean response at the input levels x1 = x2 = x3 = 1 is 8.5.

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QUESTION:

(a) Fit a multiple linear regression equation to the following data set. (b) Test the hypothesis that 0 = 0. (c) Test the hypothesis that 3 = 0. (d) Test the hypothesis that the mean response at the input levels x1 = x2 = x3 = 1 is 8.5.

ANSWER:

Step 1 of 11

(a)

Our data has size  and we have  input variables. We consider model

Now, we use results from the chapter. Construct matrices

     

which in this case are equal to

,          

 

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