Arianna wondered if there was a relationship between a person's height and shoe size. She collected data from randomly selected individuals at the mall. The data is shown in the scatterplot below.

Based on this data, which inference is valid?

Responses
A In general, the taller a person is, the smaller his/her shoe size will be.In general, the taller a person is, the smaller his/her shoe size will be.
B There is no correlation between height and shoe size.There is no correlation between height and shoe size.
C When comparing two people, the person with the greater shoe size will always be the taller person.When comparing two people, the person with the greater shoe size will always be the taller person.
D In general, the taller a person is, the greater his/her shoe size will be.In general, the taller a person is, the greater his/her shoe size will be.

1 answer

Based on the information provided, the most valid inference would be:

D: In general, the taller a person is, the greater his/her shoe size will be.

This inference suggests a positive correlation between height and shoe size, which is typically observed in most populations.

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