Question

A store sells both ice cream cones and air conditioners. The store manager records the sales of these two items and creates the scatter plot shown below.



Based on the scatter plot, which statement BEST interprets the relationship between the sales of ice cream cones and sales of air conditioners?


A. There is a correlation between the two variables but not causation.

B. There is both a correlation and causation between the two variables.

C. There is neither a correlation nor causation between the two variables.

D. There is no correlation between the two variables, but there is causation.

Answer 1

Using the principle of linear regression, the scatter plot implies that there is a correlation between the two variables but not causation.

When the graph of the linear relationship between two variables exhibits a visible trend or pattern, the there variables are said to correlate

The scatter plot above shows that there is a strong linear association between the two variables.

However, correlation does not imply causation, hence, there is no evidence or logical relationship to infer that number of ice cream sales drives the number of air conditions sold.

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