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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

0.9
0.9

1
1

−0.9
negative 0.9

−1

1 answer

To estimate the correlation coefficient from the given data, we can analyze the relationship between Data 1 and Data 2:

  • Data 1: 0, 2, 4, 6, 8, 10
  • Data 2: 3, 6, 9, 12, 15, 18

When plotting these points on a scatter plot, we can observe that they form a straight line with a positive slope. Each increase in Data 1 corresponds to a predictable increase in Data 2.

Considering the characteristics of the data:

  • The correlation seems to be very strong and positive.
  • A correlation coefficient of 1 indicates a perfect positive linear relationship.

From the options provided:

  • 0.9 suggests a strong positive correlation.
  • 1 suggests a perfect positive correlation.
  • -0.9 suggests a strong negative correlation.
  • -1 suggests a perfect negative correlation.

Given the linearity and the positive relationship in the data, the best estimate for the correlation coefficient would be 1.

So the answer is 1.