A Regression Model with One Independent Variable, X₁, Resulted in an SSE

Essay

A regression model with one independent variable, X₁, resulted in an SSE of 50. When a second independent variable, X₂, was added to the model, the SSE was reduced to 40. At $\alpha$ = 0.05, determine if X₂ contributes significantly to the model. The sample size for both models was 30.