Question: The accompanying table lists weights (in pounds) of plastic discarded by a sample of households, along with the sizes of the households. The presence of a correlation implies that we can predict population size by analyzing discarded garbage, information that is important to the Census Bureau. The value of the correlation coefficient r = 0.8424.

1. What does it mean that r = + 0.8424 (as opposed to - 0.8424)? Is the value of r strong evidence that the amount of discarded plastic can be used to predict household size?
2. Test the significance of the correlation coefficient using = 0.05 and the claim

= 0 following the guidelines on page 464 in our textbook.

H ₀ : = 0 (No relationship)

H _a : 0 (Relationship exists)

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