Question

In a study of 62 households, the total weight (in pounds) of garbage discarded in one week and the household size were recorded. The regression equation was found to be ŷ = 0.445 + 0.119x, where x represents the total weight of discarded garbage. What is the predicted number of people in a household that discards 50 lb of garbage?

A. 22.4
B. 112
C. 6.40
D. 416

Answer 1

Using the regression equation û = 0.445 + 0.119x, the predicted number of people in a household that discards 50 lb of garbage is approximately 6.40 (answer C).

Step-by-step explanation:

To determine the predicted number of people in a household that discards 50 lb of garbage using the regression equation û = 0.445 + 0.119x, where x represents the total weight of discarded garbage, we can substitute 50 for x into the equation:

û = 0.445 + 0.119(50)

Doing the math:

û = 0.445 + 5.95

û = 6.395

Therefore, the predicted number of people in a household that discards 50 lb of garbage is approximately 6.40, which is answer choice C.