Consider the following data set: x1 x2 y 5.1 2 55.42 5.4 8

Chapter , Problem 51

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Consider the following data set: x1 x2 y 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 (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.

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