Question

fuel efficiency, measured in miles per gallon, is a measure 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. how would the value of the correlation coefficient change if the car weights were recorded in kilograms, rather than pounds? the value of the correlation coefficient would increase. the value of the correlation coefficient would decrease. the value of the correlation coefficient would not change. the value of the correlation coefficient could increase or decrease, depending on the new scatterplot.

Explanation:

The correlation coefficient measures the strength and direction of a linear relationship between two variables. It is unit - less. Changing the unit of one variable (from pounds to kilograms for car weight) does not affect the underlying relationship between the two variables (car weight and fuel efficiency).

Answer:

The value of the correlation coefficient would not change.