The following scatterplot shows the amount of natural gas used versus another variable, the size of the home measured in the number of square feet: a. Describe the association between the two...

The following scatterplot shows the amount of natural gas used versus another variable, the size of the home measured in the number of square feet:

a. Describe the association between the two variables.⁴

b. The covariance between these variables is 17,848. What are the units of the covariance?⁵

c. The SD of natural gas is
 MCF, and the SD of the size is
 sq ft. What is the correlation between the use of natural gas and the size of the home?
⁶

d. Explain the size of the correlation. Is there a reason that the correlation is not larger?
⁷