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

0.9
0.9

−1
negative 1

−0.9

1 answer

To create a scatter plot using the provided data, you would plot the points (Data 1, Data 2) on a Cartesian coordinate system. The points from the dataset are:

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

When you plot these points on the graph, you will see that they form a straight line, indicating a strong positive linear relationship between Data 1 and Data 2.

To estimate the correlation coefficient, which quantifies the strength and direction of the relationship between the two variables, we can expect the correlation coefficient (r) to be very close to 1 for a perfect positive linear correlation.

Looking at the data, it appears that as Data 1 increases, Data 2 also increases consistently. Thus, the correlation coefficient is very close to 1.

Based on the options provided, the most appropriate choice would be:

1

This indicates a perfect positive correlation.