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A Data Set Consisting of 7 Observations of a Dependent

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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. A data set consisting of 7 observations of a dependent variable y and two independent variables x<sub>1</sub> and x<sub>2</sub> was used in a regression analysis. Using x<sub>1</sub> as the only independent variable, the following function is provided.   = .408 + 1.338x<sub>1</sub> The SSE for the above model is 39.535. Using both x<sub>1</sub> and x<sub>2</sub> as independent variables yields the following function.   = .805 + .498x<sub>1</sub> - .477x<sub>2</sub> The SSE for this function is 1.015. Use an F test and determine if x<sub>2</sub> contributes significantly to the model. Let α = .10. = .408 + 1.338x1
The SSE for the above model is 39.535.
Using both x1 and x2 as independent variables yields the following function. A data set consisting of 7 observations of a dependent variable y and two independent variables x<sub>1</sub> and x<sub>2</sub> was used in a regression analysis. Using x<sub>1</sub> as the only independent variable, the following function is provided.   = .408 + 1.338x<sub>1</sub> The SSE for the above model is 39.535. Using both x<sub>1</sub> and x<sub>2</sub> as independent variables yields the following function.   = .805 + .498x<sub>1</sub> - .477x<sub>2</sub> The SSE for this function is 1.015. Use an F test and determine if x<sub>2</sub> contributes significantly to the model. Let α = .10. = .805 + .498x1 - .477x2
The SSE for this function is 1.015.
Use an F test and determine if x2 contributes significantly to the model. Let α = .10.

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F = 151.8 and F.10 = 4.54. Becaus...

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