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Use the table to answer the 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 −0.9 negative 0.9 1 1 −1 negative 1 0.9

1 answer

To create a scatter plot from the data you've provided, we’ll take each pair of numbers:

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

While I can't create a visual scatter plot directly, I can guide you on how to plot the points on a Cartesian plane and estimate the correlation coefficient from the observations.

Steps to Create a Scatter Plot:

  1. Draw a Cartesian coordinate system with horizontal (x-axis) and vertical (y-axis).
  2. Plot the points from the pairs listed above on the graph.
  3. Analyze the direction of the points.

Estimating the Correlation Coefficient:

The correlation coefficient (r) can range from -1 to 1:

  • r = 1: Perfect positive correlation.
  • r = -1: Perfect negative correlation.
  • r = 0: No correlation.

Observing the Data:

  1. The general trend of the points suggests a positive correlation (as one variable increases, the other does too).
  2. Since the points appear to be close to forming a linear relationship, the correlation coefficient will likely be close to 1.
  3. Estimating visually based on the clustered points along an upwards slope, an approximate value could be around 0.9.

Conclusion:

Based on the analysis and the upward trend with a strong linear relationship in your data, the estimated correlation coefficient is 0.9.