Part A: The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.
Part B: A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.
The association between two variables that are correlated can be shown by a scatter plot which has a trendline along which the data points are located.
If the trendline slopes upwards from the left to the right, it shows a positive correlation and vice versa.
Also, if the farther the data points are to each other along the trendline, the farther is it the correlation coefficient, r, is from 1 or -1. If they are moderately apart,, the correlation coefficient would be somewhere around 0.5/-0.5 and 0.65/-0.65, as the case may be.
Part A:
The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.
Part B:
A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.
Learn more about scatter plot on:
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