Question

Which of the following statements are not true about the sample correlation coefficient r?

a. the value of r is independent of the units in which x and y are measure.
b. the value of r depends on which of the two variables under study is labeled x and which is labeled y.
c. the value of r is always between -1 and 1, inclusive.
d. the value of r

Answer 1

c. The sample correlation coefficient, r, has certain characteristics. It is independent of units, does not depend on variable labels, and ranges from -1 to 1.

Step-by-step explanation:

The sample correlation coefficient, r, has certain characteristics. Let's analyze the statements one by one:

a. The value of r is independent of the units in which x and y are measured: This statement is true. The correlation coefficient remains the same regardless of the units used to measure the variables.

b. The value of r depends on which of the two variables under study is labeled x and which is labeled y: This statement is false. The correlation coefficient does not depend on the labeling of variables.

c. The value of r is always between -1 and 1, inclusive: This statement is true. The correlation coefficient ranges from -1 to 1, indicating the strength and direction of the linear relationship between the variables.

d. The value of r: The statement is incomplete and needs clarification. Please provide more information.