fuel efficiency, measured in miles per gallon, is a feature often considered by shoppers looking for a new…

fuel efficiency, measured in miles per gallon, is a feature often considered by shoppers looking for a new car. the scatterplot shows the vehicle weight of 15 car models in pounds, plotted against their highway fuel efficiency. which of the following is a reasonable value for r, given the relationship shown in the scatterplot? -0.197 -0.898 0.528 0.902
Answer
Explanation:
Step1: Determine the direction of the correlation
As car weight increases, fuel efficiency decreases. So, it is a negative correlation. Thus, we can eliminate (0.528) and (0.902) (positive values).
Step2: Assess the strength of the correlation
The points in the scatter - plot are closely clustered around an imaginary line (indicating a strong correlation). The value of (r=-0.197) indicates a weak correlation ((\vert r\vert\approx0.2)), while (r = - 0.898) ((\vert r\vert\approx0.9)) indicates a strong correlation.
Answer:
(-0.898)