Discussion Thread: Bivariate Pearson, Spearman Correlations and Linear Regression
Respond to the following short answer questions from Morgan, Leech, Gloeckner, & Barrett textbook:
D6.1 Interpreting Correlations. In Output 9.2, what do the correlation coefficients tell us? What is the r^2 for the Pearson correlation and what does it mean? Compare the Pearson and Spearman correlations on both correlation size and significance level and explain your comparison. Explain when you should use which type of correlation in this case.
D6.2 Interpreting Regressions. Using Output 9.4, find the regression coefficient (weight) and the standardized regression (Beta) coefficient. How do these compare to the correlation between the same variables in Output 9.3? What does the regression coefficient (weight) tell you? Using the variables in Problem 9.4, develop a research question in which the Pearson correlation would be more appropriate than the bivariate regression. Using the variables in Problem 9.4, develop a research question in which the bivariate regression would be more appropriate than the Pearson correlation.
