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Chapter 14: Bivariate Regression

Chapter 14: Bivariate Regression

pp. 271-298

Authors

, Texas Tech University
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Extract

This chapter is devoted to extensive instruction regarding bivariate regression, also known as ordinary least squares regression (OLS).Students are presented with a scatterplot of data with a best-fitting line drawn through it.They are instructed on how to calculate the equation of this line (least squares line) by hand and with the R Commander.Interpretation of the statistical output of the y-intercept, beta coefficient, and R-squared value are discussed.Statistical significance of the beta coefficient and its implications for the relationship between an independent and dependent variable are described.Finally, the use of the regression equation for prediction is illustrated.

Keywords

  • least squares
  • linear regression
  • scatterplot
  • y-intercept
  • beta coefficient
  • R-squared
  • statistical significance
  • prediction

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