To determine the correlation coefficient based on the provided data, we first create a scatter plot with the given pairs of values:
- Points:
- (0, 3)
- (2, 6)
- (4, 9)
- (6, 12)
- (8, 15)
- (10, 18)
When plotted on a graph, these points would show a positive linear relationship. As the values of the x-coordinate increase, the y-coordinate values also increase in a consistent manner.
Given the pattern of the points, I can estimate the correlation coefficient. The correlation coefficient (r) ranges from -1 to 1, where:
- 1 indicates a perfect positive correlation,
- -1 indicates a perfect negative correlation, and
- 0 indicates no correlation.
Since the points appear to lie very close to a straight line with a positive slope, we can conclude that the correlation is strong and positive.
Based on this analysis, the best estimate for the correlation coefficient among the provided options is 1. This indicates a perfect positive correlation.
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