Identify the true statements about the correlation coefficient, r .
a. the correlation coefficient is not affected by outliers.
b. the absolute value of r describes the magnitude of the association between two variables.
c. when the data points in a scatter plot fall closely around a straight line that is either increasing or decreasing, the correlation between the two variables is strong.
d. the value of r ranges from negative one to positive one.
e. if two variables are positively correlated, when one variable increases, the other variable decreases.
f. a correlation coefficient of zero means that no relationship exists between the two variables.

Step-by-step explanation:

We are given some statements about correlation coefficient and we are to find out whether true or false

a. The correlation coefficient is not affected by outliers.

False when outliers are present std deviation would increase thus r will decrease.

b. The absolute value of r describes the magnitude of the association between two variables.  True

c. When the data points in a scatter plot fall closely around a straight line that is either increasing or decreasing, the correlation between the two variables is strong.  True

d. The value of r ranges from negative one to positive one.  true

e. If two variables are positively correlated, when one variable increases, the other variable decreases.  False when negatively related only this happens.

f. A correlation coefficient of zero means that no relationship exists between the two variables.  True

yes

yes yes yes