Question

The table shows the number of people living in a house and the weight of trash (in pounds) at the curb just before pickup.

PEOPLE TRASH

2 18

3 33

6 93

1 23

7 83

7.Find the correlation between these variables.Report to 3 decimal places.

8.Suppose three pounds were subtracted from everyone's trash can before they were weighed.What happens to the correlation when a constant (-3) is added to each number?(report the new correlation to 3 decimal places)

9.Suppose each house contained exactly twice the number of people, but the weight of the trash was the same. What happens to the correlation when numbers are multiplied by a constant?(report the new correlation to 3 decimal places)

10.What percentage of the variability in trash (pounds) can be explained by the number of people living in the household? (Use the rounded value from Question 7 for your calculations. Leave the answer in decimal form and report to 3 decimal places)