which scatterplot has a correlation coefficient closest to r = 1?

Explanation:

Step1: Recall correlation coefficient concept

The correlation coefficient $r$ measures the strength and direction of a linear relationship. When $r = 1$, there is a perfect positive - linear relationship.

Step2: Analyze scatter - plots

In a scatter - plot with $r = 1$, all the data points should lie exactly on a straight line with a positive slope. As we examine scatter - plots, we look for a pattern where the points seem to follow a straight - line trend going upwards from left to right.

However, since only one scatter - plot is shown in the image and no other options are provided, we assume that if this scatter - plot has points that are closely following an upward - sloping linear trend, it is the one closest to $r = 1$. If the points in the given scatter - plot are randomly scattered, then it is not close to $r = 1$. Without seeing other options, we can't be completely sure, but if the points in the given plot show a strong upward linear tendency, it is the candidate.

Answer:

We need more scatter - plots to accurately determine which one has a correlation coefficient closest to $r = 1$. If the given scatter - plot has points that follow a strong upward linear trend, it could be the answer, but more information is needed.