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:

Equity Method

An accounting technique used by a company to record its investment in another company when it has significant influence but does not fully control it.

Ownership Percentage

The share or portion of a company that is owned by an individual or entity, typically expressed as a percentage of total outstanding shares.

Voting Stock

Shares that give the shareholder the right to vote on matters of corporate policy and the election of the board of directors.

Common Stock

Shares representing ownership in a corporation, entitling the shareholder to a portion of the corporation's profits and a vote in shareholder meetings.