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Joe sells used cars. He recorded the age (in years) of each car on his lot along with the number of kilometers it
had been driven. After plotting his results, Joe noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting distance
driven from the age of the car:

y = 11,000 + 18,000x

What is the residual of a car that is 2 years old and has been driven 50,000 km?

Joe sells used cars He recorded the age in years of each car on his lot along with the number of kilometers it had been driven After plotting his results Joe no class=

Respuesta :

benito03

Answer:3000 km

Step-by-step explanation:

abidemiokin

The car will be 2 years old if it has been driven 50000km

Regression equations

Give the equation for predicting the distance  driven from the age of the car expressed as:

  • y = 11,000 + 18,000x

where:

  • x is the age (in years) of each car
  • y is the number of kilometers it  had been driven

If the car is 2 years old, the residual of the car is given as:

y = 11,000 + 18,000x

y=11000 + 18000(2)

y = 11000 + 36000

y= 47000km

If the car has driven 57,000km, the age of the car will be expressed as:

50000 = 11000 + 18000x

50000 - 11000 = 18000x

39000 = 18000x

x = 39/18

y = 2 years

Hence the car will be 2 years old if it has been driven 50000km

Learn more on regression equations here: https://brainly.com/question/732489