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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.

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Coefficient of Determination

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  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

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