The table below shows a sample of households and two variables:the number of people in the household (x) andthe weekly pounds of trash generated by the household (y).

Number of people in the household (x)

2

3

6

1

7

Pounds of trash per week generated by the households (y)

18

33

93

23

83

Questions:

a)Explain the relationship between the amount of trash per week and the number of people in the household using concepts from linear regression.Provide a comprehensive answer that includes explaining the following:

• How strong is the relationship between these two variables?Compute the r value, round to 4 decimal places.

b)Interpret the slope of the regression in this problem. What does it tell you about trash generated?

c) The average size of a US household is 2.6 people (Source: US Census Bureau). Predict how much trash per week that household would be expected to generate.