Answer to Question #131467 in Statistics and Probability for Michael

Question

Graph: https://imgur.com/a/4JYT0u6

A researcher examined the relationship between Variables X and Y among 150 male subjects, and he graphed a scatter plot as seen below. The correlation coefficient for all the 150 data points is about 0.5. Let K be the correlation coefficient for the data points with X values lying between 130 to 150. Which of the following statements is correct?

A. K is less than 0.50.
B. K is more than 0.50.
C. None of the other options.

Answer 1

B. K is more than 0.50.

This is based on the fact that if we plot a scatter plot trend line the values between130 to 150 appear close to the trend line revealing a close association between 130 to 150 than other parts.