Page 18 - PowerPoint Presentation

LOS 7.j: Describe the use of analysis of variance
2
(ANOVA) in regression analysis, interpret ANOVA MODULE 7.5: ANOVA TABLES, R , AND SEE
results, and calculate and interpret the F-statistic.

Analysis of variance (ANOVA) is a statistical procedure for
analyzing the total variability of the dependent variable:

• Total sum of squares (SST) measures the total variation in the dependent variable ( = equal to the sum of the squared
differences between the actual Y-values and the mean of Y):

 Regression sum of squares (RSS) measures the variation in the dependent variable that is explained by the independent
variable (= sum of the squared distances between the predicted Y-values and the mean of Y).

• Sum of squared errors (SSE) measures the unexplained variation in the dependent variable (sum of squared residuals); it is
the sum of the squared vertical distances between the actual Y-values and the predicted Y-values on the regression line.