196k views
4 votes
What’s the correlation coefficient? -0.93 or -1.00?

What’s the correlation coefficient? -0.93 or -1.00?-example-1
User Elsban
by
7.8k points

1 Answer

4 votes

Answer:

-0.93

Explanation:

You want to know a good estimate of the correlation coefficient for the data in the scatterplot shown.

Correlation coefficient

The sign of the correlation coefficient will be the sign of the slope of the best-fit (trend) line. Here, the data generally trends downward, so the sign of the correlation coefficient is negative.

The magnitude of the correlation coefficient will be 1 if the data lies on a straight line. Here, the data does not lie on a line, so the correlation coefficient is not 1. The value -0.93 is a better guess.

__

Additional comment

We don't have enough experience with scatter plots to have an intuition about the magnitude of the correlation coefficient. The attached calculator output tells us this data has a correlation coefficient of about -0.93, which is the "not 1" answer choice.

#95141404393

What’s the correlation coefficient? -0.93 or -1.00?-example-1
User Reidisaki
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.