(a) Fit a linear surface to the following data:y x1 x2118 41 −638 76 3156 19 645 67 −331 62 −117 99 −3109 27 −5349 43 12195 25 −872 24 294 48 5118 3 4(b) How good a fit is obtained?(c) Plot the residuals against ˆy and determine whether thepattern is “random.”(d) Check for multicollinearity among the independentvariables.

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(a) Fit a linear surface to the following data:
y x1 x2
118 41 −6
38 76 3
156 19 6
45 67 −3
31 62 −1
17 99 −3
109 27 −5
349 43 12
195 25 −8
72 24 2
94 48 5
118 3 4(b) How good a fit is obtained?
(c) Plot the residuals against ˆy and determine whether the
pattern is “random.”
(d) Check for multicollinearity among the independent
variables.

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