Question

-Anyone wanna help a sister out??-

A researcher is trying to find out if there is a correlation between the U.S. economy and the number of hours spent on social media. The researcher determines that the correlation coefficient is r = 1.26. What does this value mean?

A) The researcher made an error because −1 ≤ r ≤ 1.

B) When the U.S. economy is good, people spend more time on social media.

C) When the U.S. economy is poor, people spend more time on social media.

D) When the U.S. economy is good, people spend less time on social media.

Answer 1

The answer would be A because a correlation coefficient is only
`-1 \leq r \leq 1`

Answer 2

Option A - The researcher made an error because −1 ≤ r ≤ 1.

Explanation:

Given : A researcher is trying to find out if there is a correlation between the U.S. economy and the number of hours spent on social media. The researcher determines that the correlation coefficient is r = 1.26.

To find : What does this value mean?

Solution :

By definition of correlation coefficient,

The correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatter plot.

The value of r is always between +1 and –1 i.e,
`-1\leq r\leq 1`

According to researcher,

The correlation coefficient is r = 1.26 >1

So, From the options it means

The researcher made an error because −1 ≤ r ≤ 1.

Therefore, Option A is correct.