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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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Definitions:

Common Stock

A type of equity security that represents ownership in a corporation, entitling holders to vote on corporate matters and receive dividends.

Long-term Investment

Investments held by an entity for an extended period, typically more than one year, such as bonds, stocks, or real estate.

Equity Method

A method where an investor recognizes its share of the profits and losses of the investee company it has invested in, proportionate to its ownership percentage.

Cost Method

An accounting method used to value certain investments or transactions at their original purchase cost, without reflecting subsequent changes in market value.

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