6)nterpreting 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. Predicted equation or equation of the regression line(Y predicted or hat) = 0725983X + 16.5523

7. Level of Significance = 0.1

8. Critical Value= 0.378419

Question : Are the variables moving in the same direction. If yeswhy? If no, why?

7)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. Predicted equation or equation of the regression line(Y predicted or hat) = 0.725983X + 16.5523

7. Level of Significance = 0.1

8. Critical Value= 0.378419

Question

What is meant by the slope of the regression line? Which number is the slope of the regression line?

8)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. Predicted equation or equation of the regression line(Y predicted or hat) = 0.725983X + 16.5523

7. Level of Significance = 0.1

8. Critical Value= 0.378419

Question

Which number is the allowable risk of making a Type I error?

9)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

10. t test = 0.794556

Question

How the test whether the Null Hypothesis should be rejected or not?