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 computed F statistic for testing the significance of the above model 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 computed F statistic for testing the significance of the above model is

Quizplus · Accepted Answer

The F statistic is calculated using the formula: F = (SSR/k) / (SSE/(n-k-1)), where SSR is the regression sum of squares, SSE is the error sum of squares, n is the number of observations, and k is the number of predictors. Here, SSR = 700, SSE = 100, n = 30, and k = 4. So, F = (700/4) / (100/(30-4-1)) = 43.75.

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

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