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Chapter 14: Q 14.9 (page 560)

Which graph used in a residual analysis provides roughly the same information as a scatterplot? What advantages does it have over a scatterplot?

Short Answer

Expert verified

A residual plot is defined as a plot of the residuals against the predictor variable values that provide roughly the same information as a scatter plot of the data points.

As a result, a residual plot facilitates the detection of patterns such as curvature and non-constant standard deviation.

Step by step solution

01

Given Information

We have to identify a graph used in a residual analysis that provides roughly the same information as a scatterplot.Also, what advantages does it have over a scatterplot

02

Explanation

The following are the explanations for two graphs.

- The residuals' normal probability plot should be roughly linear.

- A plot of the residuals against the predictor variable values should be symmetric about the xaxis and fall roughly in a horizontal band.

A residual plot is defined as a plot of the residuals against the predictor variable values that provide roughly the same information as a scatter plot of the data points.

As a result, a residual plot facilitates the detection of patterns such as curvature and non-constant standard deviation.

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Most popular questions from this chapter

To find and interpret a confidence interval , at the specified confidence level 99%for the slope of the population regression line that relates the response variables to the predictor variable.

Gas Guzzlers. The data from Exercise 14.41 for gas mileage and engine displacement of 121 vehicles are on the WeissStats site. Specified value of the predictor variable: 3.0L.

a. Decide whether you can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b)-(f).

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