Questions: UNIT 4 - CHALLENGE 4.2: Interpreting Correlation The correlation coefficient, r, is 0.813. Which of the following statements explains how the correlation is affected?

UNIT 4 - CHALLENGE 4.2: Interpreting Correlation

The correlation coefficient, r, is 0.813.

Which of the following statements explains how the correlation is affected?

Transcript text: UNIT 4 - CHALLENGE 4.2: Interpreting Correlation The correlation coefficient, r, is 0.813. Which of the following statements explains how the correlation is affected?

Solution

Solution Steps

Step 1: Observe the scatterplot

The scatterplot shows a positive correlation between the two variables. As one variable increases, the other tends to increase. The points cluster relatively close to a straight line, suggesting a moderately strong relationship.

Step 2: Interpret the correlation coefficient

The correlation coefficient, _r_, is given as 0.813. This confirms the positive correlation observed in the scatterplot. A value of 0.813 indicates a strong positive linear relationship. Values closer to 1 indicate a stronger linear relationship.

Step 3: Address the Question

The question asks how the correlation is _affected_. Since no specific changes to the data are proposed, there's nothing to analyze in terms of how the correlation would change. The correlation _is_ 0.813 based on the presented data.