In: Statistics and Probability
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:
c) The symbol and value of the coefficient of determination are as follows:
Round final answer to 3 decimal places.
=
Interpret this value:
explained by the linear model with as its variable.