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

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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.   = 0.408 + 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.   = 0.805 + 0.498x<sub>1</sub> - 0.477x<sub>2</sub> The SSE for this latter function is 1.015. Use an F test and determine if x<sub>2</sub> contributes significantly to the model. Let  \alpha  = 0.05. = 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.  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.   = 0.408 + 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.   = 0.805 + 0.498x<sub>1</sub> - 0.477x<sub>2</sub> The SSE for this latter function is 1.015. Use an F test and determine if x<sub>2</sub> contributes significantly to the model. Let  \alpha  = 0.05. = 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 α\alpha = 0.05.


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