Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

determining a point on a residual plot which point would be on a residu…

Question

determining a point on a residual plot
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
(1, 15)
(2, 11.9)
(3, 0)
(5, 2.1)

Explanation:

Step1: Recall residual plot concept

A point on a residual plot has the form (x - value, residual), where the x - value is the independent variable value and the residual is the difference between the given value and the predicted value.

Step2: Check each option

For age = 1, residual is 0.2, so (1, 0.2) is a point. For age = 2, residual is 0.1, so (2, 0.1) is a point. For age = 3, residual is 0, so (3, 0) is a point. For age = 5, residual is 0.8, so (5, 0.8) is a point.

Answer:

(3, 0)