Identify each of the statements as true or false. Use T to indicate true and F t
ID: 3056429 • Letter: I
Question
Identify each of the statements as true or false. Use T to indicate true and F to indicate false.
Changing the units of measurement of x or y does not affect the correlation coefficient.
The correlation coefficient r is not affected by outliers.
If r is extremely close to 1, one may infer causation between the explanatory variable and the response variable.
It is usually unwise to use the regression model to predict for values beyond those in the data set (extrapolation).
A negative value for the correlation indicates that the two variables are unassociated.
r has the same sign (positive or negative) as the slope of the regression line.
Explanation / Answer
1. Changing the units of measurement of x or y does not affect the correlation coefficient. - TRUE
2. The correlation coefficient r is not affected by outliers. - False
3. If r is extremely close to 1, one may infer causation between the explanatory variable and the response variable. - TRUE
4. It is usually unwise to use the regression model to predict for values beyond those in the data set (extrapolation). - TRUE
5. A negative value for the correlation indicates that the two variables are unassociated. - FALSE
6. r has the same sign (positive or negative) as the slope of the regression line. - TRUE