Question: The complete model y = 0 + 1x1 + 2x2 + 3x3 + 4x4 + was fit to n = 20 data points, with

The complete model
y = β0 + β1x1 + β2x2 + β3x3 + β4x4 + ε
was fit to n = 20 data points, with SSE = 152.66. The reduced model, y = β0 + β1x1 + β2x2 + ε, was also fit, with SSE = 160.44.
a. How many β parameters are in the complete model? The reduced model?
b. Specify the null and alternative hypotheses you would use to investigate whether the complete model contributes more information for the prediction of y than the reduced model.
c. Conduct the hypothesis test of part b. Use α = .05.

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