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4. 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?

A. The allowable risk of making a Type I error is , the Level of Significance oralpha

B. The chances that there is no relationship between Y and X is about 10%. The lower is this chance of no relationship, the greater is the evidence that there slope is not zero.

C. Both A and B

D. None of the above

5. 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?

A. 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.

B. 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.

C. None of the above

6. 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

Define the Y intercept of the regression line. What is the Y intercept?

A. The Y intercept is the value of Y when the X = 0.

B. It is 16.5523 and is obtained from the regression line: Y hat = .725983 + 16.5523

C. It is .725983 and is obtained from the regression line: Y hat = .725983 + 16.5523

D. Both A and B