Question

Consider the data below: x1 x2 y -1 1 1 -1 2 3 -1 3 6...

Consider the data below:

x1 x2 y
-1 1 1
-1 2 3
-1 3 6
1 1 2
1 1 3
1 3 8

a) Fit the model Y = B0 + B1x1 + B2x2 + B3x22 + error. For i = 1,2,...,6, error is normal, with a mean of 0 and a variance of sigma2.

b) Test if B3 < 1, at a 5% level of significance.

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