A regression analysis (involving 45 observations) relating a dependent variable (y) and two independent variables resulted in the following information.
$\widehat { y }$ = 0.408 + 1.3387x₁ + 2x₂

The SSE for the above model is 49.
When two other independent variables were added to the model, the following information was provided.
$\widehat { y }$ = 1.2 + 3.0x₁ + 12x₂ + 4.0x₃ + 8x₄

This latter model's SSE is 40.
At a 5% significance level, test to determine if the two added independent variables contribute significantly to the model.

Question

A regression analysis (involving 45 observations) relating a dependent variable (y) and two independent variables resulted in the following information.

\widehat { y }

= 0.408 + 1.3387x₁ + 2x₂

The SSE for the above model is 49.
When two other independent variables were added to the model, the following information was provided.

\widehat { y }

= 1.2 + 3.0x₁ + 12x₂ + 4.0x₃ + 8x₄

This latter model's SSE is 40.
At a 5% significance level, test to determine if the two added independent variables contribute significantly to the model.

Quizplus · Accepted Answer

The Answer of A regression analysis (involving 45 observations) relating a dependent variable (y) and two independent variables resulted in the following information. $\widehat { y }$ = 0.408 + 1.3387x₁ + 2x₂ The SSE for the above model is 49. When two other independent variables were added to the model, the following information was provided. $\widehat { y }$ = 1.2 + 3.0x₁ + 12x₂ + 4.0x₃ + 8x₄ This latter model's SSE is 40. At a 5% significance level, test to determine if the two added independent variables contribute significantly to the model.

A Regression Analysis (Involving 45 Observations) Relating a Dependent Variable y^\widehat { y }y​

A Regression Analysis (Involving 45 Observations) Relating a Dependent Variable $\widehat { y }$