The correlation between average monthly temperature x and monthly natural gas consumption y over a period of months at Lincoln High School is -0.86. Which of the following operations would change the value of the correlation?
A) Measure gas consumption in cubic meters instead of cubic feet.
B) Remove two outliers from the data before doing the calculation.
C) Measure temperature in degrees Kelvin instead of in degrees Fahrenheit.
D) All of the answers are correct

Question

Quizplus · Accepted Answer

The correlation coefficient is a measure of the strength and direction of a linear relationship between two variables. Changing the units of measurement (as in A and C) does not affect the correlation coefficient because it is a dimensionless number. However, removing outliers (B) can change the value of the correlation because outliers can have a significant impact on the strength and direction of the correlation.

The Correlation Between Average Monthly Temperature X and Monthly Natural