Question

identifying a point on a residual plot
for the given table, which point lies on the residual
plot?
(1,26)
(2,18.3)
(3,4.6)
(4,19)

Explanation:

Step1: Recall the definition of residual plot

A residual plot has \(x -\) values as the independent variable \(x\) and \(y -\) values as the residual.

Step2: Check each option

• For the point \((1,26)\): In a residual plot, the \(y -\) value should be the residual. Here, when \(x = 1\), the residual is \(3.8

eq26\).

• For the point \((2,18.3)\): When \(x = 2\), the residual is \(- 5.3

eq18.3\) (since \(18.3\) is the predicted value).

• For the point \((3,4.6)\): When \(x = 3\), the residual is \(4.6\). So the point \((x = 3,y=\text{residual}=4.6)\) lies on the residual plot.
• For the point \((4,19)\): When \(x = 4\), the residual is \(-8.5

eq19\).

Answer:

\((3,4.6)\)