Question

The correlation between a car’s engine size and its fuel economy (in mpg) is r = - 0.774.

Answer 1

Answer: 59.91%.

Step-by-step explanation:

• We know that the fraction of the variability in data values accounted by a model is given by $r^2$ , where r is the coefficient of correlation.

We are given , that the correlation between a car’s engine size and its fuel economy (in mpg) is r = - 0.774.

Then, the fraction of the variability in fuel economy is accounted for by the engine size would be $r^2=( - 0.774)^2=0.599076\approx59.91\%$

[Multiply 100 to convert a decimal into percent]

Hence, the fraction of the variability in fuel economy is accounted for by the engine size is 59.91%.

None of the options are correct.