Psychology 202a Advanced Psychological Statistics October 29, 2015 The plan for today • • • • • Simulating regression models Another way to understand correlation Creative uses for regression The t test as regression Introducing multiple regression Correlation, revisited • We have seen two ways to understand the correlation coefficient: – The standardized covariance; – The square root of the coefficient of determination. • A third is to think of the correlation as the slope in a regression where both variables have been standardized. The t test as regression • Recall that regression is a model for the conditional mean. • Sometimes, the variable on which we condition can be artificially constructed for a special purpose. • Long digression in SAS.