Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider the table showing the given, predicted, and residual values fo…

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 1 -1.6 -1.2 -0.4 2 2.2 1.5 0.7 3 4.5 4.7 -0.2 4 6.1 6.7 -0.6 (1, -1.6) (2, 1.5) (3, 4.5) (4, -0.6)

Explanation:

Step1: Recall residual plot concept

A point on a residual plot has the form $(x, \text{residual})$.

Step2: Check each option

For $x = 1$, residual is $- 0.4$; for $x = 2$, residual is $0.7$; for $x = 3$, residual is $-0.2$; for $x = 4$, residual is $-0.6$.

Answer:

D. $(4, - 0.6)$