A Regression Analysis Involving 45 Observations Relating a Dependent Variable

Short Answer

A regression analysis involving 45 observations relating a dependent variable and two independent variables resulted in the following information.
​ = .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.
​ = 1.2 + 3x₁ + 12x₂ + 4x₃ + 8x₄
​
This model's SSE is 40.
​
At a .05 level of significance, test to determine if the two added independent variables contribute significantly to the model.