Question

Suppose a furniture manufacturer ships their products to distributors in pairs (so there are two items sent in each box). The weights of furniture pieces vary significantly, but the manufacturer wants to make sure the weight of each package is about the same. From this information, the correlation between the weights of the two individual furniture pieces will be ______________.

Answer 1

Answer: Negative.  

Step-by-step explanation:

Given: A furniture manufacturer ships their products to distributors in pairs (so there are two items sent in each box).

The weights of furniture pieces vary significantly, but the manufacturer wants to make sure the weight of each package is about the same.

From this information, the correlation between the weights of the two individual furniture pieces will be negative.

Because there is inverse relation between the weights of the two individual furniture pieces .When the weight of one piece goes up, the weight of the other piece goes down to maintain their package weight same i.e.constant.

Answer 2

The correlation between the weight of the two individual pieces will be inversely proportional. Since each package must maintain a constant weight and it contains two pieces of furniture, when one furniture is heavy, the other must be light. Thus, the relationship of the two pieces of furniture is inversely proportional.