A Study of the Top MBA Programs Attempted to Predict

question 6

Multiple Choice

A study of the top MBA programs attempted to predict the average starting salary (in $1000's) of graduates of the program based on the amount of tuition (in $1000's) charged by the program and the average GMAT score of the program's students. The results of a regression analysis based on a sample of 75 MBA programs is shown below:

Least Squares Linear Regression of Salary

$\begin{array}{l}\text { Predictor }\\\begin{array}{lcccccccc}\text { Variables } & \text { Coefficient } & {\text { Std Error }} & \text { T } & \text { P } & {\text { VIF }} \\\text { Constant } & -203.402 & 51.6573 & -3.94 & 0.0002 & 0.0 \\\text { Gmat } & 0.39412 & 0.09039 & 4.36 & 0.0000 & 2.0 & \\\text { Tuition } & 0.92012 & 0.17875 & 5.15 & 0.0000 & 2.0 &\end{array}\end{array}$

$\begin{array}{lccc}\text { R-Squared } & 0.6857 & \text { Resid. Mean Square (MSE) } & 427.511 \\\text { Adjusted R-Squared } & 0.6769 & \text { Standard Deviation } & 20.6763\end{array}$

$\begin{array}{lllcccc}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\text { Regression } & 2 & 67140.9 & 33570.5 & 78.53 & 0.0000 \\\text { Residual } & 72 & 30780.8 & 427.5 & \\\text { Total } & 74 & 97921.7 & &\end{array}$

• A) At \(\alpha = 0.05\), there is insufficient evidence to indicate that something in the regression model is useful for predicting the average starting salary of the graduates of an MBA program.
• B) We expect most of the average starting salaries to fall within \(\$ 20,676\) of their least squares predicted values.
• C) We expect most of the average starting salaries to fall within \(\$ 41,353\) of their least squares predicted values.
• D) We can explain \(68.57 \%\) of the variation in the average starting salaries around their mean using the model that includes the average GMAT score and the tuition for the MBA program.

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Definitions:

Social Cognition Perspective

An approach that focuses on how people process, store, and apply information about other people and social situations.

Causal Attribution

The process by which individuals assign causes or reasons to events and behaviors, explaining why things happen.

Correlational Observation

A research approach that involves observing and measuring the relationship between two or more variables without manipulating them.

Third Variable Assumption

The idea in research that a correlation between two variables might be explained by a third factor that affects both of the original variables.