These are the values in devante’s data set. (2, 94.5), (3, 89), (4,80), (6, 71) , (7, 63) devante determines the equation of a linear regression line to be yˆ=−6x+105.7 . use the point tool to graph the residual plot for the data set. round residuals to the nearest unit as needed.

We know that

The residual value is the observed value minus the predicted value.

RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]

where

Predicted value.--> the predicted value given the current regression equation

Observed value. --> The observed value for the dependent variable

find the residuals value

point 1) (2, 94.5)
yˆ=−6x+105.7 

for x=2
Observed value=94.5
Predicted value=-6*2+105.7-----> 93.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[94.5-93.7]----> 0.8-----> 1
point (2,1)

point 2) (3, 89)
yˆ=−6x+105.7 

for x=3
Observed value=89
Predicted value=-6*3+105.7-----> 87.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[89-87.7]----> 1.3-----> 1
point (3,1)

point 3) (4,80)
yˆ=−6x+105.7 

for x=4
Observed value=80
Predicted value=-6*4+105.7-----> 81.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[80-81.7]----> -1.7-----> -2
point (4,-2)

point 4) (6, 71)
yˆ=−6x+105.7 

for x=6
Observed value=71
Predicted value=-6*6+105.7-----> 69.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[71-69.7]----> 1.3 -----> 1
point (6,1)

point 5) (7, 63)
yˆ=−6x+105.7 

for x=7
Observed value=63
Predicted value=-6*7+105.7-----> 63.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[63-63.7]----> 0.7 -----> 1
point (7,1)

using a graph tool
graph the residual plot for the data set.
the points are
(2,1) (3,1) (4,-2) (6,1) (7,1)

see the attached figure

this is the right answer it is (7,-1)

Step-by-step explanation: