Question

Please help:These are the values in Paul’s data set. (1, 21), (2, 16), (4,10), (5, 5), (6,2)Paul determined the equation of a linear regression line, and determined that these are the predicted values.(1, 20), (2, 17), (4,9), (5, 6), (6,2)Use the point tool to graph the residual plot for the data set.

Answer 1

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):

$\begin{gathered} 21-20 \\ \Rightarrow1 \end{gathered}$

For (2, 16) and (2, 17):

$\begin{gathered} 16-17 \\ \Rightarrow-1 \end{gathered}$

For (4, 10) and (4, 9):

$\begin{gathered} 10-9 \\ \Rightarrow1 \end{gathered}$

For (5, 5) and (5, 6):

$\begin{gathered} 5-6 \\ \Rightarrow-1 \end{gathered}$

For (6, 2) and (6, 2):

$\begin{gathered} 2-2 \\ \Rightarrow0 \end{gathered}$

Hence, the points to be plotted are:

$(1,1),(2,-1),(4,1),(5,-1),(6,0)$

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.