Multiple Regression Coefficients

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Multiple Regression Coefficients

• Beta Weights

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Predict Graduation Rate
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Variables Influence Graduation Rate
?

• Age
• Aptitude Scores

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Predict Graduation Rate from Age and Aptitude
Score
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Multiple Regression Analysis

• Predict a criterion variable from a set of
  predictors

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Compute the Correlation Matrix
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Correlation Matrix for the Predictor Set (Age and
Score)
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Negative Correlation between Age and Scores

• Younger subjects have higher aptitude scores.

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Correlation between each Predictor and the
Criterion
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Negative Correlation between Age and Graduation
Rate

• Younger subjects have higher graduation rates.

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Positive Correlation between Scores and
Graduation Rate

• Subjects with higher aptitude scores have higher
  graduation rates.

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Compute the Beta Weights
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Multiple Regression Equation
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The Sign of Beta Weights
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Negative Beta Weight Associated with Age

• Older age will decrease the value of the
  criterion.

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Positive Beta Weight Associated with Score

• Higher scores will increase the value of the
  criterion.

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The Magnitude of Beta Weights
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Generally speaking, the greater the absolute beta
weights, the greater the influence on the
criterion variable.
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Coefficient of Multiple Determination
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Coefficient of Multiple Determination
Age and aptitude score account for 97 of the
variance..