A Data Set Consisting of 7 Observations of a Dependent $\alpha$

question 57

Essay

A data set consisting of 7 observations of a dependent variable y and two independent variables x₁ and x₂ was used in a regression analysis. Using (x₁) as the only independent variable, the following function is provided. = 0.408 + 1.338x₁
The SSE for the above model is 39.535.
Using both x₁ and x₂ as independent variables yields the following function. = 0.805 + 0.498x₁ - 0.477x₂
The SSE for this latter function is 1.015.
Use an F test and determine if x₂ contributes significantly to the model. Let $\alpha$ = 0.05.

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