Question

consider the table showing the given, predicted and residual values for a data set. which point would be on the residual plot of the data?

x	given	predicted	residual
2	1.5	1.2	0.3
3	3	3.7	-0.7
4	5	4.9	0.1

(1, -2.2)
(2, 1.5)
(3, 3.7)
(4, 0.1)

Explanation:

Step1: Recall residual - plot concept

A point on a residual plot has coordinates \((x, \text{Residual})\) where \(x\) is the independent - variable value and the second coordinate is the residual value corresponding to that \(x\) value.

Step2: Check each option

For \(x = 1\), the residual is \(-0.3\), so \((1,-2.2)\) is not on the residual plot. For \(x = 2\), the residual is \(0.3\), so \((2,1.5)\) is not on the residual plot. For \(x = 3\), the residual is \(-0.7\), so \((3,3.7)\) is not on the residual plot. For \(x = 4\), the residual is \(0.1\), so the point \((4,0.1)\) is on the residual plot.

Answer:

\((4,0.1)\)