Which, if any, of the values listed below for a correlation coefficient indicate a situation where more than half of the variation in one variable is associated with variation in the other variable?



-.7

1

.3

.6

.9

I was thinking B

r = .9, then r^2 = .81, so both .9 and 1 would fit.

You are correct, option B (1) is the value that indicates a situation where more than half of the variation in one variable is associated with variation in the other variable.

A correlation coefficient of 1 indicates a perfect positive correlation, meaning that there is a strong linear relationship between the two variables. In this case, more than half of the variation in one variable can be explained by the variation in the other variable.

To determine which correlation coefficient indicates a situation where more than half of the variation in one variable is associated with variation in the other variable, you need to compare the coefficient to 0.5. If the correlation coefficient is greater than 0.5 or less than -0.5, it suggests a strong positive or negative relationship between the variables respectively.

Let's evaluate each option:

-.7: This value is less than -0.5, indicating a strong negative relationship between the variables.

1: This value is equal to 1, indicating a perfect positive relationship between the variables.

.3: This value is less than 0.5, suggesting a weak positive relationship between the variables.

.6: This value is greater than 0.5, indicating a strong positive relationship between the variables.

.9: This value is greater than 0.5, suggesting a very strong positive relationship between the variables.

Based on this analysis, options B (.7) and E (.9) both indicate situations where more than half of the variation in one variable is associated with variation in the other variable. Therefore, your answer is correct.