Chapter 14: Simple Linear Regression

The least squares method is used to determine an estimated regression line that minimizes the squared deviations of the data values from the line.
1. True
2. False
The least squares method is applicable only in situations where the estimated regression line has a positive slope.
1. True
2. False
If the slope of the estimated regression line is positive, the correlation coefficient must be negative.
1. True
2. False
The slope of the estimated regression line is a sample statistic, since, like other sample statistics, it is computed from the sample observations.
1. True
2. False
The sampling distribution of is normal if the usual regression assumptions are satisfied.
1. True
2. False
If two variables are perfectly linearly related, the sample correlation coefficient must equal -1 or 1.
1. True
2. False
The residual is the difference between the actual value of a dependent variable and the value predicted by the estimated regression line.
1. True
2. False
For the estimated regression line the correlation coefficient
1. equals 0
2. is less than 0
3. is greater than 0
If the correlation coefficient for two variables is -.9, the coefficient of determination is
1. .9
2. -.81
3. .81
4. Cannot be determined
5. None of the above
If all else is held constant, compared to the prediction interval for a particular value of y, the confidence interval for a mean value of y will be
1. narrower
2. wider
3. not enough information is given
. Below you are given a summary of the output from a simple linear regression analysis from a sample of size 15:
SS (total) = 152
SS(regression) =100

The coefficient of determination is
1. 0.5200
2. 0.6579
3. 0.8111
4. 1.52
5. Cannot be determined given this information
Below you are given a summary of the output from a simple linear regression analysis from a sample of size 15:
SS (total) = 152
SS(regression) =100
The correlation coefficient is
1. 0.5200
2. 0.6579
3. 0.8111
4. 1.52
5. Cannot be determined given this information
Below you are given a summary of the output from a simple linear regression analysis from a sample of size 15:
SS (total) = 152
SS(regression) =100
An F test for a significant relationship is to be done, the test statistic value is
1. 4
2. 5
3. 25
4. 100
5. Cannot be determined given this information
. Below you are given a summary of the output from a simple linear regression analysis from a sample of size 15:
SS (total) = 152
SS(regression) =100
An F test for a significant relationship is to be done with α = .05, the critical value for this test is
1. 1.771
2. 2.160
3. 4.67
4. 9.07
Below you are given a summary of the output from a simple linear regression analysis from a sample of size 15:
SS (total) = 152
SS(regression) =100
An F test for a significant relationship is to be done with α = .05, the decision for this test is
1. do not reject the null hypothesis
2. reject the null hypothesis