Chapter Eleven A: Multiple Regression and Correlation

1
Chapter Eleven (A) Multiple Regression and
Correlation

• DBA 902
• Research Methods II
• J. Schreiber

2
Multiple Regression (MR)

• Provides a way to develop predictions using more
  than one variable
• Provides a way to analyze the partial
  associations between variables while controlling
  for the effect of others

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The Multiple Regression Model

• E(Y) a ß1X1 ß2X2 ßnXn
• Regression Coefficients
• Bivariate ? ___________ the effects of other
  variables
• Partial ? ___________ the effects of other
  variables
• Y-hat a b1X1 b2X2 bnXn

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Measuring the Strength of Association for MR

• Multiple Correlation (R)
• Coefficient of Multiple Determination (R2)
• Multicollinearity

5
Inferences for MR Coefficients

• Assumptions
• Two types of Inference
• Overall effect (global)
• Partial effects

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Inferences Overall (global)

• Hypotheses
• Test statistic
• Conclusions

7
Inferences Partial

• Hypotheses
• Test statistic
• Confidence Interval
• Conclusions