Question: Suppose you fit the interaction model y = 0 + 1x1 + 2x2 + 3x1x2 + to n = 32 data points and obtain

Suppose you fit the interaction model
y = β0 + β1x1 + β2x2 + β3x1x2 + ε
to n = 32 data points and obtain the following results:
SSyy = 479SSE = 213 = 10s3 = 4
a. Find R2 and interpret its value.
b. Is the model adequate for predicting y? Test at α = .05.
c. Use a graph to explain the contribution of the x1 x2 term to the model.
d. Is there evidence that x1 and x2 interact? Test at α = .05.

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