Use the table to answer the question.

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)
Responses

1
1

0.9
0.9

−1
negative 1

−0.9

Answer 1

To estimate the correlation coefficient based on the data provided in the table, we first look at the relationship between the two sets of values:

• The x-values (first column) are: 0, 2, 4, 6, 8, 10
• The y-values (second column) are: 3, 6, 9, 12, 15, 18

From this data, we can see that as the x-values increase, the y-values also increase consistently.

If we plot these points on a scatter plot, we will see that they form a straight line, indicating a positive linear relationship.

To estimate the correlation coefficient (r), we note the following:

• A correlation coefficient of 1 implies a perfect positive correlation.
• A correlation coefficient close to 1 indicates a strong positive correlation.

Given the linearity observed in the data, we can estimate the correlation coefficient to be 1.

Therefore, the correct response is: 1