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ANSWER and EXPLANATION
We want to graph the residual plot for the given data set.
To do this, first, we have to find the residuals for each data point. To do this, find the difference between the y-coordinates of the observed value and the estimated value.
For (1, 21) and (1, 20):
[tex]\begin{gathered} 21-20 \\ \Rightarrow1 \end{gathered}[/tex]For (2, 16) and (2, 17):
[tex]\begin{gathered} 16-17 \\ \Rightarrow-1 \end{gathered}[/tex]For (4, 10) and (4, 9):
[tex]\begin{gathered} 10-9 \\ \Rightarrow1 \end{gathered}[/tex]For (5, 5) and (5, 6):
[tex]\begin{gathered} 5-6 \\ \Rightarrow-1 \end{gathered}[/tex]For (6, 2) and (6, 2):
[tex]\begin{gathered} 2-2 \\ \Rightarrow0 \end{gathered}[/tex]Hence, the points to be plotted are:
[tex](1,1),(2,-1),(4,1),(5,-1),(6,0)[/tex]Let us plot the graph now. The residuals will be plotted on the y-axis while the independent variable will be plotted on the x-axis:
That is the answer.
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