Use the table to answer the question.

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

−0.9
negative 0.9

−1
negative 1

1
1

0.9

Answer 1

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

Here’s the data:

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

Observations:

1. The values in Data 2 appear to increase consistently as the values in Data 1 increase.
2. The relationship seems to be linear as the change in Data 2 is proportional to the change in Data 1.

Calculating Correlation Coefficient:

In this case, since we see a clear positive linear relationship, we can estimate the correlation coefficient (r) to be close to 1.

Choices:

• −0.9 (negative correlation)
• −1 (perfect negative correlation)
• 1 (perfect positive correlation)
• 0.9 (strong positive correlation)

Based on the linearity and positive correlation observed in the scatter plot data, the best estimate for the correlation coefficient from the options given is 1 (perfect positive correlation).

So the response would be: 1