Question

swer the questions that follow. the same response may be the correct answer for more than one question

1. which data set shows the least evidence of a linear relationship?
2. for which data set does the correlation coefficient r appear to be equal to 1?
3. for which data set is the correlation coefficient r closest

Explanation:

Step1: Analyze linear - relationship appearance

In a scatter - plot, if the points are randomly scattered with no discernible linear pattern, it shows little linear relationship. In Figure 1, the points are very scattered, indicating the least evidence of a linear relationship.

Step2: Understand correlation coefficient r = 1

A correlation coefficient r = 1 indicates a perfect positive linear relationship. In Figure 3, the points lie almost exactly on an upward - sloping straight line, suggesting r is close to 1.

Step3: Consider r closest to 1 for the third question

Since Figure 3 shows a strong positive linear relationship, it is the data - set for which r is closest to 1.

Answer:

1. The data set in Figure 1
2. The data set in Figure 3
3. The data set in Figure 3