The following table shows the weights, in hundreds of pounds, for six selected cars. Also shown is the corresponding fuel efficiency, in miles per gallon (mpg), for the car in city driving. Use the data provided in the table to complete parts a) throughd).Weight (hundreds of pounds)283335323029Fuel efficiency (mpg)202219222321a) Determine the correlation coefficient between the weight of a car and the fuel efficiency.The correlation coefficient between the weight of a car and the fuel efficiency isr=(Type an integer or decimal rounded to three decimal places as needed.)
Accepted Solution
A:
Answer:Step-by-step explanation:Given is a table showing the weights, in hundreds of pounds, for six selected cars. Also shown is the corresponding fuel efficiency, in miles per gallon (mpg), for the car in city driving. Weight Fuel eff. x^2 xy y^2
X Y 28 20 784 560 400
3 22 9 66 484
35 19 1225 665 361
32 22 1024 704 484
30 23 900 690 529
29 21 841 609 441
Mean 26.16666667 21.16666667 797.1666667 549 449.8333333
Variance 112.4722222 1.805555556
Covariance -553.8611111
r -0.341120235
Correlaton coefficient =cov (xy)/S_x S_yCovariance (x,y) = E(xy)-E(x)E(y)The correlation coefficient between the weight of a car and the fuel efficiency is -0.341