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.
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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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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?
Transcribed Image Text:Scatterplot
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QQ Plot
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Wage of One Twin (dollars per hour)
Residual Plot
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Wage of One Twin
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Wage of the Other Twin
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