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)
28
33
35
32
30
29
fuel efficiency (mpg)
20
22
19
22
23
21
a) 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 is
r=
(type an integer or decimal rounded to three decimal places as needed.)

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.

WeightFuel eff.x^2xyy^2

XY    

2820784560400

322966484

35191225665361

32221024704484

3023900690529

2921841609441

Mean26.1666666721.16666667797.1666667549449.8333333

Variance  112.4722222  1.805555556

Covariance-553.8611111    

r-0.341120235    

Correlaton coefficient =cov (xy)/S_x S_y

Covariance (x,y) = E(xy)-E(x)E(y)

The correlation coefficient between the weight of a car and the fuel efficiency is -0.341