Answered: Figure 1 shows a scatterplot of wages…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Question

Figure 1 shows a scatterplot of wages of twins for a group of 68 pairs of twins. Figure 2 shows a residual plot of the same data. Figure 3 shows a QQ plot of these residuals. Is the linear regression model appropriate for these data? Why or why not? Assume the observations are independently measured.

Is the linear regression model appropriate for these data? Why or why not?

A.The residual plot shows a decreasing trend. Linear regression is inappropriate for this data set, because the linearity condition fails, and the errors are not independent of one another.

B.The residual plot shows an increasing trend, and the QQ plot does not follow a straight line. Linear regression is inappropriate for this data set, because the linearity condition and the Normality condition fail.

C.The QQ plot does not follow a straight line. Linear regression is inappropriate for this data set, because the Normality condition fails, and the errors are not independent of one another.

D.All of the conditions are met, so the linear model is appropriate.

Scatterplot
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QQ Plot
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Wage of One Twin (dollars per hour)
Residual Plot
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Normal Quantiles
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Wage of One Twin
Residuals
Wage of the Other Twin
Residuals

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