An Academic Advisor Wants to Predict the Typical Starting Salary $$\hat { \beta } _ { 0 } = - 92040 \hat { \beta } 1 = 228 \mathrm {~s} = 3213 r ^ { 2 } = .66 r = .81 \mathrm { df } = 23 \quad t = 6.67$$

question 57

Multiple Choice

An academic advisor wants to predict the typical starting salary of a graduate at a top business school using the GMAT score of the school as a predictor variable. A simple linear regression of SALARY versus GMAT using 25 data points is shown below.
$$\hat { \beta } _ { 0 } = - 92040 \hat { \beta } 1 = 228 \mathrm {~s} = 3213 r ^ { 2 } = .66 r = .81 \mathrm { df } = 23 \quad t = 6.67$$
Give a practical interpretation of $r = .81$ .

• A) We estimate SALARY to increase \(81 \%\) for every 1-point increase in GMAT.
• B) We can predict SALARY correctly \(81 \%\) of the time using GMAT in a straight-line model.
• C) There appears to be a positive correlation between SALARY and GMAT.
• D) \(81 \%\) of the sample variation in SALARY can be explained by using GMAT in a straight-line model.

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Definitions:

Object Permanence

The realization that objects still exist even when they are not visible, audible, or tangible.

Manual Dexterity

The skillful use of the hands and fingers to perform tasks with precision, often important in various professions and daily activities.

Gross Motor Development

The progression of physical abilities involving large muscle movements such as walking, jumping, and throwing, typically observed in early childhood development.

Motor Milestones

Specific physical skills or movements that most children achieve by a certain age, indicating developmental progress.