The least squares method is used to determine an estimated regression line that minimizes the squared deviations of the data values from the line.
The least squares method is applicable only in situations where the estimated regression line has a positive slope.
If the slope of the estimated regression line is positive, the correlation coefficient must be negative.
The slope of the estimated regression line (b1) is a sample statistic, since, like other sample statistics, it is computed from the sample observations.
The sampling distribution of b1 is normal if the usual regression assumptions are satisfied.
If two variables are perfectly linearly related, the sample correlation coefficient must equal -1 or 1.
The residual is the difference between the actual value of a dependent variable and the value predicted by the estimated regression line.
For the estimated regression line = 3 - 10x, the correlation coefficient rxy
If the correlation coefficient for two variables is -.9, the coefficient of determination is
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
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
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
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
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 = .05, the critical value for this test is
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 a = .05, the decision for this test is