An example of negative correlation may exist between the following industries:
a) Forest products and housing
b) Jewelry and discount furniture
c) Oil and auto
d) Steel and aluminum
The Correct Answer and Explanation is:
The correct answer is a) Forest products and housing.
Explanation
Negative correlation refers to a relationship between two variables in which an increase in one variable leads to a decrease in the other variable. In the context of industries, a negative correlation can be observed between the forest products industry and the housing industry, particularly in terms of lumber prices and housing starts.
When the housing market is booming, demand for lumber and other forest products tends to increase, leading to higher prices for these materials. Conversely, when the housing market is in a downturn or when there are fewer housing starts, the demand for lumber decreases, which can result in lower prices for forest products. Thus, there exists a negative correlation: as housing demand increases, the supply of forest products (lumber, plywood, etc.) might face constraints, leading to higher prices, while a decrease in housing demand results in lower prices due to oversupply or reduced orders.
In contrast, let’s briefly analyze the other options:
- b) Jewelry and discount furniture: These two industries generally do not have a strong negative correlation as they cater to different markets and consumer needs. An increase in jewelry sales does not necessarily lead to a decrease in discount furniture sales.
- c) Oil and auto: This pairing might suggest a positive correlation, as oil prices can affect automotive fuel costs. Typically, higher oil prices can lead to decreased demand for fuel-inefficient vehicles, but this relationship can be complex and is not strictly negative.
- d) Steel and aluminum: While these materials can be substitutes in some applications, their markets are not characterized by a straightforward negative correlation. Factors such as production costs, technological advancements, and material properties can influence the demand for both steel and aluminum simultaneously.
Thus, option a) most accurately represents a scenario of negative correlation, showcasing how economic conditions in one sector (housing) directly impact another (forest products).