In a multiple regression model involving 30 observations, the following estimated regression equation was obtained: $\hat { y }$ = 17 + 4x₁ - 3x₂ + 8x₃ + 8x₄

For this model, SSR = 700 and SSE = 100.The critical F value at $\alpha$ = .05 is

Question

In a multiple regression model involving 30 observations, the following estimated regression equation was obtained:

\hat { y }

= 17 + 4x₁ - 3x₂ + 8x₃ + 8x₄

For this model, SSR = 700 and SSE = 100.The critical F value at

\alpha

= .05 is

Quizplus · Accepted Answer

The F-statistic is calculated using the formula F = (SSR/k) / (SSE/(n-k-1)), where k is the number of predictors and n is the number of observations. Here, k = 4 and n = 30. The calculated F-statistic is compared to the critical F value for (k, n-k-1) degrees of freedom at $\alpha$ = .05, which is 2.76.

In a Multiple Regression Model Involving 30 Observations, the Following y^\hat { y }y^​

In a Multiple Regression Model Involving 30 Observations, the Following $\hat { y }$