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Actual consumption Refer to Exercise 48. Use the equation of the least-squares regression line and the residual plot to estimate the actual fuel consumption of the car when driving 20 kilometers per hour.

Short Answer

Expert verified

The actual fuel consumption when driving 20 kilometers per hour is approximately 13.2426 liters per 100 km driven.

Step by step solution

01

Given information

It is given that:

yÁåœ=11.0358−0.01466x

The figure is

02

Concept

The formula used:Residual=y−yÁåœ

03

Calculation

Let's start by determining the regression line's anticipated weight, which can be done by evaluating the regression line's equation, which is:

yÁåœ=11.0358−0.01466x=11.0358−0.01466(20)=10.7426

In the residual plot, we can see that the residual corresponding to 20kilometers per hour is around 2.5

Thus, the residual will be:

Residual=2.5

The residual, as we know, is the actual value reduced by the anticipated value, so

Residual=y−yÁåœâ‡’y=Residual+yÁåœ=2.5+10.7426=13.2426

As a result, the fuel consumption units are in litres per 100 kilometres driven, and the actual fuel consumption at 20 kilometres per hour is roughly 13.2426 litres per 100 kilometres driven.

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