Interpreting Simple Linear Regression

1. 1. Linear correlation coefficient r = 0.794556
2. 2. Coefficient of Determination ( r square) 0.631319
3. 3. Standard Error of the estimate = 12.9668
4. 4. SSR (Explained variation) = 5182.41
5. 5. SSE ( Unexplained variation) = 3026.49
6. 6. Total variation (SST) = 8208.90
7. 7. Predicted equation or equation of the regression line(Y predicted or hat) = 0.725983X + 16.5523
8. 8. Level of Significance = 0.1
9. 9. Critical Value= 0.378419

Question 1

Which number measures the distances from the prediction line to the actual values?

1. SEE (Unexplained variation) 3026.49
2. SEE (Unexplained variation) 3026.49/Total Variation(8208.90) = 36.8% unexplained
3. Standard Error of the estimate = 12.9668
4. All of the above

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 2

What is meant by SSR? Which number measures the variation explained by the regression line?

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1. Sum of the Squares Regression (SSR); amount of variation in Y explained by the variation in X explanatory variable
2. Sum of the Squares Regression (SSR); amount of variation in X explained by the variation in Y
3. SSR is the percent variation in total variation SST that is explainedby the variation in X or SSR/SST = 5182.41/8208.90 = 0.631319 or 63%
4. Both A and C