1 / 16

Coefficient of Determination

Coefficient of Determination. Section 3.3. Coefficient of determination. r = correlation r 2 = coefficient of determination What this means? Tells us the proportion (or percent) of variability in y that is explained by the LSRL and variation in x . . Coefficient of determination.

cyma
Download Presentation

Coefficient of Determination

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Coefficient of Determination Section 3.3

  2. Coefficient of determination • r = correlation • r2 = coefficient of determination • What this means? • Tells us the proportion (or percent) of variability in y that is explained by the LSRL and variation in x.

  3. Coefficient of determination

  4. Coefficient of determination

  5. Coefficient of determination

  6. Coefficient of determination SST = sum of squares of the deviations SSE = sum of squares for error

  7. Coefficient of determination

  8. Coefficient of determination 3.57% of the variation in y is explained by least-squares regression of y on x.

  9. Coefficient of determination

  10. Coefficient of determination

  11. Coefficient of determination

  12. Coefficient of determination 84.2% of the variation in y is explained by least-squares regression of y on x.

  13. Coefficient of determination Please note:

  14. Comparing r2 Values, Ex. 3.12, p. 162 Distinction between explanatory and response variables is essential.

  15. Please remember • If you are given the percent of variation, you can find the correlation. Same for correlation  variation.

  16. Practice Problems Exercises 3.42, 3.43

More Related