Question

Which of the following statements are true? Select all that apply. The correlation coefficient, r , is equal to the number of data points that lie on the regression line divided by the total number of data points. The correlation coefficient gives us information about the number of outliers compared to the number of data points. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive. The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. If r is the correlation between two variables x and y then -r is the correlation between y and x . The larger r is in absolute value, the stronger the relationship is between the two variables.

Answer 1

Eventually the coat sales will be negative, which is not possible.

Eventually the temperature will increase or decrease to impossible values.

Some predictions may not be accurate.

Answer 2

True statements:
The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. (r > 0 is a positive correlation, r < 0 is negative, and |r| closer to 1 means a stronger correlation.
The larger r is in absolute value, the stronger the relationship is between the two variables. True.

False statements:
The correlation coefficient, r , is equal to the number of data points that lie on the regression line divided by the total number of data points. False.
The correlation coefficient gives us information about the number of outliers compared to the number of data points. False, it does not say the number, although it more or less gives an idea of the magnitude.
If r is the correlation between two variables x and y then -r is the correlation between y and x. False, r is not dependent on which is the independent or dependent variable.