Question

the graph shows the weight and fuel efficiency, in miles per gallon, for a selection of vehicles. car weight (100 lbs) miles per gallon which is the best estimate of the correlation coefficient of the line of best fit? a. -0.91 b. -0.23 c. 0.68 d. 0.89

Explanation:

Step1: Analyze Correlation Direction

The scatter plot shows as miles per gallon (fuel efficiency) increases, car weight decreases. So the correlation is negative, eliminating positive options (C, D).

Step2: Analyze Correlation Strength

The points form a relatively tight cluster around a line, indicating a strong negative correlation. A correlation coefficient of -0.91 is strong negative, while -0.23 is weak negative. The tight clustering supports a strong negative value like -0.91.

Answer:

A. -0.91