Answer:
The residual points are (2,0.8),(3,1.3),(4,-1.7),(6,1.3),(7,-0.7).
Refer the attached figure.
Step-by-step explanation:
Given : These are the values in Devantes data set (2,94.5),(3,89),(4,80),(6,71),(7,63)
. Devantes determines the equation of a linear regression line to be y=-6x+105.7.
To find : Use the point tool to graph the residual plot for the data set. Round residuals to the nearest unit as needed.
Solution :
A residual is defined as the difference between the predicted value and the actual value i.e. Residual=Actual - Predicted
We have given a linear regression line which gives you predicted output i.e.y=-6x+105.7
Now, we find the residual value.
1) (2,94.5)
Actual = 94.5
Predicted = y=-6(2)+105.7=93.7
Residual = 94.5-93.7 =0.8
The residual at x = 2 is 0.8.
2) (3,89)
Actual =89
Predicted = y=-6(3)+105.7=87.7
Residual = 89-87.7=1.3
The residual at x = 3 is 1.3
3) (4,80)
Actual = 80
Predicted = y=-6(4)+105.7=81.7
Residual = 80-81.7=-1.7
The residual at x = 4 is -1.7.
4) (6,71)
Actual = 71
Predicted = y=-6(6)+105.7=69.7
Residual = 71-69.7=1.3
The residual at x = 6 is 1.3.
5) (7,63)
Actual = 63
Predicted = y=-6(7)+105.7=63.7
Residual = 63-63.7=-0.7
The residual at x =7 is-0.7
Therefore, The residual points are (2,0.8),(3,1.3),(4,-1.7),(6,1.3),(7,-0.7).
Refer the attached figure below showing the residual points.
The data points shown in purple color.
The residual points shown in green color.
