Question

There is a correlation between the mean temperature and ice cream sales. Which of the following statements are true? Check all that apply.

-Based upon the study, the highest number of ice cream sales should be on the hottest day.

-There is causation between the temperature and the number of ice cream sales.

-A value of `-9.8` could be a reasonable slope for the function equation.

-The correlation between the two quantities should be fairly strong to strong.

-A value of `r =.89` is a reasonable measurement for the correlation coefficient of this association
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Answer 1

The existence of a correlation between the mean temperature and ice

cream sales, indicate that the data follows a particular pattern.

The statement that is true based on the given information is the option:

• The correlation between the two quantities should be fairly strong to strong.

Reasons:

The given relationship between the mean temperature and ice cream sales = Positive (or negative) correlation.

Therefore; based on the statement that there is a correlation between the

mean temperature and ice cream sales, we have;

• The option, the highest number of ice cream sales should be on the hottest day depends on if the correlation is a positive correlation, which is not stated.

• The option, there is a causation cannot be directly inferred because correlation does not mean causation.

• The option, a value of -9.8 for the slope can not be concluded because the slope is not given.

• The correlation coefficient is not given

Therefore, the true statement is ; The correlation between the two quantities should be fairly strong to strong.

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