Question

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

Explanation:

Step1: Analyze the direction of the relationship

Since as car weight increases, fuel efficiency decreases, the correlation coefficient \(r\) is negative. So we can eliminate \(0.528\) and \(0.902\).

Step2: Analyze the strength of the relationship

The scatter - plot shows a relatively strong negative linear relationship. The value of \(r=-0.197\) indicates a weak negative correlation, while \(r = - 0.898\) indicates a strong negative correlation.

Answer:

\(-0.898\)