Question

which point would be on a residual plot of the data?
age
(years)
given
value
predicted
residual
1
15
14.8
0.2
2
12
11.9
0.1
3
9
9
0
4
5
6.1
-1.1
5
4
3.2
0.8

Explanation:

Step1: Recall residual plot definition

A residual plot has the independent variable (Age, \( x \)) on the x - axis and the residual (error, \( y \)) on the y - axis. So each point is \((\text{Age}, \text{Residual})\).

Step2: Identify points from the table

• For Age = 1, Residual = 0.2: Point (1, 0.2)
• For Age = 2, Residual = 0.1: Point (2, 0.1)
• For Age = 3, Residual = 0: Point (3, 0)
• For Age = 4, Residual = - 1.1: Point (4, - 1.1)
• For Age = 5, Residual = 0.8: Point (5, 0.8)

Any of these points would be on the residual plot. For example, (4, - 1.1) is a valid point as it uses the age (4) as the x - value and the corresponding residual (- 1.1) as the y - value.

Answer:

Possible points include (1, 0.2), (2, 0.1), (3, 0), (4, - 1.1), (5, 0.8). For example, \(\boldsymbol{(4, - 1.1)}\) (or any of the other points from the table in the form \((\text{Age}, \text{Residual})\))