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Chapter 3: Q 60. (page 193)

Oil and residuals Refer to Exercise 59. The following figure shows a residual plot for the least-squares regression line. Discuss what the residual plot tells

Short Answer

Expert verified

The regression line is not a good fit for the data.

Step by step solution

01

Part (a) Step 1: Given information

02

Part (a) Step 2: Concept

A regression line is a straight line that depicts the change in a response variable y when an explanatory variable x changes. By putting this x into the equation of the line, you may use a regression line to predict the value of y for any value of x

03

Explanation

The anticipated laboratory value from the least-squares line is within -20and +20for the majority of the residuals in the exhibited image. As the laboratory measurement (X)grows, the residual plot shows an increasing spread around the regression line. For larger values of Xpredictions of Yusing this line will be less accurate.

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