Question

Explain what each of the following sample correlation coefficients tells you about the relationship between the x and y values in the sample. a. requals1 b. requalsminus1 c. requals0 d. requals0.86 e. requals0.06 f. requalsnegative 0.89

Answer 1

Answer: The description are as follows:

Explanation:

Correlation coefficients is a statistical measure that measures the relationship between the two variables.

(a) r = 1, it means that there is a Perfect positive relationship between the two variables. If there is positive increase in one variable then other variable also increases with a fixed proportion.

(b) r = -1, it means that there is a perfect negative relationship between the two variables. If there is positive increase in one variable then other variable decreases with a fixed proportion.

(c) r = 0, this is a situation which shows that there is no relationship between the two variables.

(d) r = 0.86, this is a situation which shows that there is a fairly strong positive relationship between the two variables.

(e) r = 0.06, it is nearly zero which represents that either there is a very minor positive relationship between the two variables or there is no relationship between them.

(f) r = -0.89, this is a situation which shows that there is a fairly strong negative relationship between the two variables.