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?

We compare the test statistic of 0.794556 to the critical value of 0.378419 to see if the Null Hypothesis should be rejected. Since t = .795 > critical value(table), reject the null hypothesis of a ZERO relationship.

We compare the test statistic of 0.794556 to the critical value of 0.378419 to see if the Null Hypothesis should be rejected. Since t = .795 > critical value(table), do not reject the null hypothesis of a ZERO relationship.

None of the above