Question

The owner of a chain of supermarkets notices that there is a positive correlation between the sales of beer and the sales of ice cream over the course of the previous year. During seasons when sales of beer were above average, sales of ice cream also tended to be above average. Likewise, during seasons when sales of beer were below average, sales of ice cream also tended to be below average. Which of the following would be a valid conclusion from these facts?

a. Sales records must be in error. There should be no association between beer and ice cream sales.

b. Evidently, for a significant proportion of customers of these supermarkets, drinking beer causes a desire for ice cream or eating ice cream causes a thirst for beer.

c. A scatterplot of monthly ice cream sales versus monthly beer sales would show that a straight line describes the pattern in the plot, but it would have to be a horizontal line.

d. There is a clear negative association between beer sales and ice cream sales.

e. The positive correlation is most likely a result of the variable temperature; that is, as temperatures increase, so do both beer sales and ice cream sales.

Short answer

The valid option is (e) The positive correlation is most likely a result of the variable temperature; that is, as temperatures increase, so do both beer sales and ice cream sales.

Step-by-step solution

Given information

We need to find that which would be a valid conclusion from these facts

Explanation for correct option (e)

It is potential to count on that the income of beer and ice cream are each laid low with some other variable like temperature. Both of the goods are commonly fed on bloodless and ought to see an growth in income at some stage in hotter seasons and a lower in income at some stage in less warm seasons.

Explanation for incorrect option  (a)

There is association between beer and ice cream sales with variable that is temperature .

Explanation for incorrect option  (b)

As there is a positive correlation between beer and ice cream sales, there is no proper evident cause and consequence relationship.

Explanation for incorrect option  (c)

The relationship isn't always linear as given in statement.

Explanation for incorrect option (d) 

There is a no clear negative association between beer sales and ice cream sales.