Question: 51. Consider the following data set: a. Fit a linear relationship between y and x1, x2. b. Determine the variance of the error term. c.

51. Consider the following data set:

x1 %2 5.1 2 55.42 5.4 8 100.21 5.9 -2 27.07 6.6

a. Fit a linear relationship between y and x1, x2.

b. Determine the variance of the error term.

c. Determine an interval that, with 95 percent confidence, will contain the response when the inputs are x1 = 10.2 and x2 = 17.

x1 %2 5.1 2 55.42 5.4 8 100.21 5.9 -2 27.07 6.6 12 169.95 7.5 -6-17.93 8.6 16 197.77 9.9 -10 -25.66 11.4 20 264.18 13.1 -14 -53.88 15 24 317.84 17.1 -18 -72.53 19.4 28 385.53

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