Question

In: Statistics and Probability

The weight of a car can influence the mileage that the car can obtain. A random...

The weight of a car can influence the mileage that the car can obtain. A random sample of 20 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below.

X, weight Y, mileage
4000 23.1
4500 17.2
4500 19.5
2250 53.3
2750 46.9
3500 31.3
4500 17
4000 23.6
2750 36.3
3000 31.5
3000 31.4
3000 32.2
4000 23.4
2500 40.9
3000 31.4
3500 31.3
3500 32.6
3000 32.2
2250 41.1
3500 28

a) State the random variables.

rv X =

of rv Y = of

b) The symbol and value of the correlation coefficient are as follows:

Round final answer to 3 decimal places.

=

Interpret this value:

  • There is a strong
  • relation between weight and mileage for cars.

c) The symbol and value of the coefficient of determination are as follows:

Round final answer to 3 decimal places.

=

Interpret this value:

  • About % of the

explained by the linear model with as its variable.

Solutions

Expert Solution

a) Let x = weight of car

Y = mileage of car


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