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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