Question

Use the table to answer the question

0 3

2 6

4 9

6 12

8 15

10 18

Use the data table to create a scatter plot. Estimate the correlation coefficient based on the data

(1 point)

-0.9

1

-1

0.9

Answer 1

To determine the correlation coefficient based on the provided data, we first create a scatter plot with the given pairs of values:

- Points:
- (0, 3)
- (2, 6)
- (4, 9)
- (6, 12)
- (8, 15)
- (10, 18)

When plotted on a graph, these points would show a positive linear relationship. As the values of the x-coordinate increase, the y-coordinate values also increase in a consistent manner.

Given the pattern of the points, I can estimate the correlation coefficient. The correlation coefficient (r) ranges from -1 to 1, where:

- 1 indicates a perfect positive correlation,
- -1 indicates a perfect negative correlation, and
- 0 indicates no correlation.

Since the points appear to lie very close to a straight line with a positive slope, we can conclude that the correlation is strong and positive.

Based on this analysis, the best estimate for the correlation coefficient among the provided options is **1**. This indicates a perfect positive correlation.