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. ✔Click to view the figures. Is the linear regression model appropriate for these data? Why or why not? O 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. OB. 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. OC. 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. O D. All of the conditions are met, so the linear model is appropriate.

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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.
Click to view the figures.
Is the linear regression model appropriate for these data? Why or why not?
O 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.
OB. 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.
O 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.
O D. All of the conditions are met, so the linear model is appropriate.
Transcribed Image Text: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. Click to view the figures. Is the linear regression model appropriate for these data? Why or why not? O 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. OB. 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. O 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. O D. All of the conditions are met, so the linear model is appropriate.
Figures
(1)
2
Wage of the Other Twin
esiduals
100-
80-
60-
40-
20-
0-
50-
40-
30-
20-
10-
0-
-104
Scatterplot
20
40
60
Wage of One Twin (dollars per hour)
Residual Plot
40
80
60
Print
Q
Q
(3)
Residuals
Done
QQ Plot
-50
-50
Normal Quantiles
•
I
Transcribed Image Text:Figures (1) 2 Wage of the Other Twin esiduals 100- 80- 60- 40- 20- 0- 50- 40- 30- 20- 10- 0- -104 Scatterplot 20 40 60 Wage of One Twin (dollars per hour) Residual Plot 40 80 60 Print Q Q (3) Residuals Done QQ Plot -50 -50 Normal Quantiles • I
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