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: Understand correlation coefficient

The correlation coefficient $r$ ranges from - 1 to 1. A value of $r = 1$ indicates a perfect positive - linear relationship. Points lie exactly on an upward - sloping straight line.

Step2: Analyze Figure 1

The points in Figure 1 are somewhat scattered and do not form a very tight linear pattern.

Step3: Analyze Figure 2

The points in Figure 2 also have some scatter and do not show a perfect linear relationship.

Step4: Analyze Figure 3

The points in Figure 3 are closely clustered around an upward - sloping straight line, so the correlation coefficient $r$ is closest to 1.

Step5: Understand linear relationship evidence

A data set with little evidence of a linear relationship has points that are randomly scattered and do not form any discernible straight - line pattern.

Step6: Analyze Figure 4

The points in Figure 4 are very randomly scattered compared to the other figures, showing the least evidence of a linear relationship.

Answer:

1. The data set in Figure 3
2. The data set in Figure 4
3. (No question 3 answer provided in the original, but if it's similar to the first two, analysis would follow the same logic)