1. A weak positive correlation means: a) the points in a scatter diagram are ver

Question

1. A weak positive correlation means: a) the points in a scatter diagram are very close to an upward sloping line b) the points in a scatter diagram are very close to a downward sloping line c) r is positive and close to zero d) r is close to 1 In a simple linear regression problem, suppose the sum of squares for regression is 90. Which of the following must be true? a. The correlation coefficient is 0.9 b. The coefficient of determination is 0.81 c. The total sum of squares is at least 90 d. The sum of squares for error is at most 90 In a simple linear regression analysis, the standard error of the slope is a. 2. 3. A measure of the amount of change in the dependent variable y for a one unit change in the independent variable x b. A measure of the variation in the regression slope from sample to sample The square root of the standard error of the estimate c. d. All of the above In regression analysis, the residuals represent the difference between the actual y values and their predicted values 4. rue b. False 5. If a coefficient of correlation is 0.90, then the percentage of the variation in the dependent variable y that is explained by the variation in the independent variable x is a. 90% Which of the following statements is false regarding the residuals in the simple linear regression model? a. They sum to 0 b. They have a mean of 0 c. They have a standard deviation of 1 d. None of the above In a simple linear regression analysis, it was stated that the correlation between starting salary and years of experience is 0.80. This indicates that 80% of the variation in starting salary is explained by years of experience a. True A scatter plot can be used to determine the relationship between b. 81% c. 0.90% d. 0.81% 6. 7. b. False 8. a. One qualitative variable and one quantitative variable b. Two qualitative variables Two quantitative variables c. d. All of the above A scatter plot is not particularly useful in determining if the relationship between the independent and the dependent variable is not linear a. True 9. b. False 10. If the correlation coefficient between the independent variable and the dependent variable is 0.87 then the best fitting line would have a slope equal to 0.87 a. True b. False 11. If two variables have a correlation coefficient equal to 0.005, this means that there is no relationship between the two variables. a. True b. False

Explanation / Answer

Result:

1

r is positive and close to 0

2

c. the total sum of squares is atleast 90

3

b. measure of variation in the regression slope from sample to sample

4

true

5

b. 81%

6

c. They have standard deviation of 1

7

False

8

c. two quantitative variables

9

False

10

False

11

True

1

r is positive and close to 0

2

c. the total sum of squares is atleast 90

3

b. measure of variation in the regression slope from sample to sample

4

true

5

b. 81%

6

c. They have standard deviation of 1

7

False

8

c. two quantitative variables

9

False

10

False

11

True

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