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For a Multiple Regression Model Involving 46 Observations, the Following y^\hat { y }

Question 105

Essay

For a multiple regression model involving 46 observations, the following estimated regression equation was obtained. y^\hat { y } = 17 + 4x1 - 3x2 + 8x3 + 5x4 + 8x5
For this model, SST = 3410 and SSE = 510.

a.
Compute the multiple coefficient of determination.
b.
Perform an F test and determine whether or not the regression model is significant.
Let α = .05.

Correct Answer:

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a.
.85
b.
F = 45.4...

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