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# Mba512 Multiple Regression Notes

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### Mba512 Multiple Regression Notes

1. 1. Learning Objectives Statistics for Managers In this chapter, you learn: Using Microsoft® Excel  How to develop a multiple regression model  How to interpret the regression coefficients 5th Edition  How to determine which independent variables to include in the regression model  How to determine which independent variables are most important in predicting a dependent variable Chapter 14  How to use categorical variables in a regression model Introduction to Multiple Regression Some revisions made by Jennifer J. Edmonds, PhD @ Wilkes University Statistics for Managers Using Microsoft Excel, 5e © 2008 Prentice-Hall, Inc. Chap 14-1 Statistics for Managers Using Microsoft Excel, 5e © 2008 Prentice-Hall, Inc. Chap 14-2 The Estimated The Multiple Regression Model Multiple Regression Equation The coefficients of the multiple regression model are estimated using sample data Examine the linear relationship between 1 dependent (Y) & 2 or more independent variables (Xi). Multiple regression equation with k independent variables: Multiple Regression Model with k Independent Variables: Estimated Estimated (or predicted) Estimated slope coefficients intercept value of Y Y-intercept Population slopes Random Error ˆ Yi b0 b1X1i b2 X2i  bk Xki Yi β 0 β1X1i β 2 X 2i  β k X ki εi Still only For every independent variable (xi), there is a For every independent variable (xi), we estimate a one corresponding slope (bi) Some revisions made by Jennifer J. Edmonds, PhD @ Wilkes University corresponding slope (bi) Some revisions made by Jennifer J. Edmonds, PhD @ Wilkes University intercept Statistics for Managers Using Microsoft Excel, 5e © 2008 Prentice-Hall, Inc. Chap 14-3 Statistics for Managers Using Microsoft Excel, 5e © 2008 Prentice-Hall, Inc. Chap 14-4 1