Determine R^2 and Adjusted R^2
-Twelve Nursing Students Are Set $R ^ { 2 }$

question 79

Multiple Choice

Determine R^2 and Adjusted R^2
-Twelve nursing students are set to graduate and the registration clerk at the nursing school wonders if a student's age and GPA would be good predictors of their state board score. She obtains the following data.
Determine the adjusted $R ^ { 2 }$ for the multiple regression model $\hat { y } = b _ { 0 } + b _ { 1 } x _ { 1 } + b _ { 2 } x _ { 2 }$ where $x _ { 1 }$ is Age, $x _ { 2 }$ is GPA, and $y$ is the response variable "state board score".

• A) \(73.3 \%\)
• B) \(78.1 \%\)
• C) \(82.9 \%\)
• D) \(67.9 \%\)

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Definitions:

Contribution Margin Ratio

The proportion of sales revenue that exceeds variable costs, represented as a percentage.

Fixed Monthly Expenses

Costs that do not vary from month to month, such as rent, insurance, and salaries.

Unit Variable Cost

The cost associated with producing an additional unit of product, which includes materials, labor, and any other expenses that increase with each unit produced.

Monthly Sales

The total revenue generated from sales of goods or services within a month.