Interpreting Simple Linear Regression 1. Linear correlation coefficient r = 0.794556 2. Coefficient of Determination ( r square) 0.631319 3. Standard Error of the estimate = 12.9668 4. SSR (Explained variation) = 5182.41 5. SSE ( Unexplained variation) = 3026.49 6. SST = 8208.90 7. Predicted equation or equation of the regression line (Y predicted or hat) = 0.725983X + 16.5523 8. Level of Significance = 0.1 9. Critical Value= 0.378419 Question What is meant by SSR? Which number measures the variation explained by the regression line? Sum of the Squares Regression (SSR); amount of variation in Y explained by the variation in X explanatory variable Sum of the Squares Regression (SSR); amount of variation in X explained by the variation in Y SSR is the percent variation in total variation SST that is explained by the variation in X or SSR/SST = 5182.41/8208.90 = 0.631319 or 63% Both A and C
Interpreting Simple Linear Regression
1. Linear
2. Coefficient of Determination ( r square) 0.631319
3. Standard Error of the estimate = 12.9668
4. SSR (Explained variation) = 5182.41
5. SSE ( Unexplained variation) = 3026.49
6. SST = 8208.90
7. Predicted equation or equation of the regression line (Y predicted or hat) = 0.725983X + 16.5523
8. Level of Significance = 0.1
9. Critical Value= 0.378419
Question
What is meant by SSR? Which number measures the variation explained by the regression line?
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Sum of the Squares Regression (SSR); amount of variation in Y explained by the variation in X explanatory variable
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Sum of the Squares Regression (SSR); amount of variation in X explained by the variation in Y
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SSR is the percent variation in total variation SST that is explained by the variation in X or SSR/SST = 5182.41/8208.90 = 0.631319 or 63%
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Both A and C
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