In a study of the relationship between geographical mobility (number of times a person has changed residences) and number of friends, Pearson's r2 is reported as. 40. Which of the following would be a correct interpretation? Mobility explains 40% of the variation in number of friends There is a strong positive relationship between number of friends and mobility As mobility increases, number of friends decreases Mobility explains 16% of the variation in number of friends

Question

Mathematics

Caden

23 May, 10:24

In a study of the relationship between geographical mobility (number of times a person has changed residences) and number of friends, Pearson's r2 is reported as. 40. Which of the following would be a correct interpretation? Mobility explains 40% of the variation in number of friends There is a strong positive relationship between number of friends and mobility As mobility increases, number of friends decreases Mobility explains 16% of the variation in number of friends

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Answers (1)

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Augustus Lin · Answer 1

Option A

Step-by-step explanation:

Given that in a study of the relationship between geographical mobility (number of times a person has changed residences) and number of friends, Pearson's r^2 is reported as. 40.

r square, being the coefficient of determination explains the variablity of one variable due to the variability of the other. Here Mobility explains 40% variation in the number of friends is right answer.

Option B is wrong because r = ±6324, so cannot say positive or negative.

Similarly option c is wrong because we are unsure whether negative correlation. Option d is wrong since 16% is not right.