Question

answer the questions that follow. the same response may be the correct answer for more than one question. 1. for which data set is the correlation coefficient r closest to 1? 2. which data set shows the least evidence of a linear relationship? 3. for which data set does the correlation coefficient r

Explanation:

Step1: Recall correlation coefficient concept

The correlation coefficient $r$ close to 1 indicates a strong positive - linear relationship. Points should closely follow an upward - sloping straight - line pattern.

Step2: Analyze each figure for strong positive linear relationship

In Figure 1, the points seem to have a general upward trend but are somewhat scattered. In Figure 2, the points have a downward trend (negative correlation). In Figure 3, the points follow a clear upward - sloping straight - line pattern, suggesting a strong positive linear relationship. In Figure 4, the points are randomly scattered with no clear linear pattern.

Step3: Recall linear relationship evidence

A data set with the least evidence of a linear relationship has points that are randomly distributed and do not follow any discernible straight - line pattern. Figure 4 has points that are randomly placed, showing the least evidence of a linear relationship.

Answer:

1. Figure 3
2. Figure 4