Question

page 10 of 10
Correlation Between Variables Quick Check
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Question
Use the table to answer the question.

This table shows the data needed to create a scatter plot
Data 1 Data 2
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)
Responses

−1
−
1
negative 1

0.9
0.9

1
1

−0.9

Answer 1

To estimate the correlation coefficient based on the data provided, we first analyze the relationship between Data 1 and Data 2.

The data points are as follows:

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

Plotting these points on a scatter plot, we observe a clear linear relationship. As Data 1 increases, Data 2 also increases in a consistent manner. This indicates a strong positive correlation.

Based on the nature of the data:
- All points fall on a straight line with a positive slope.

Thus, the correlation coefficient (r) is close to +1, representing a perfect positive linear relationship.

Given the options presented:
- The most appropriate estimate for the correlation coefficient is **1**.

So the final answer is **1**.