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

a) positive.
b) negative.
c) 0.
d) cannot be determined.

Option: B is the correct answer.

             B) negative.

Based on the information we claim that:

if we keep one item in a package of high weight then the other or second object has to be of less weight in order to equal the weight of each of  the boxes.

Hence, increase in weight of one item leads to the decrease in weight of the second item.

Hence, the correlation between the weight of two individual furniture pieces will be a negative correlation.

the answer

b. they are parallel and will never intersect.