Which of the following phrases describes what we see in the following error plot? (Residual is another word for error.) Group of answer choices linearity and homoscedasticity linearity and heteroscedasticity non-linearity and homoscedasticity non-linearity and heteroscedasticity

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 70E
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Which of the following phrases describes what we see in the following error plot? (Residual is another word for error.)

 

Group of answer choices
linearity and homoscedasticity
linearity and heteroscedasticity
non-linearity and homoscedasticity
non-linearity and heteroscedasticity
400-
200-
0-
-200-
-400-
-600
-10
-8
-6
-4
-2
Residual
Transcribed Image Text:400- 200- 0- -200- -400- -600 -10 -8 -6 -4 -2 Residual
Expert Solution
Step 1

Residual plot:

Residual plot is a graph used to identify the lineariaty, heterosedacity and fit of line. Residual plot will have residual values on verticle axis and independen variables on horizontal axis. Residual value is a difference between observed values and predicted values. When the points is randomly dispersed around the horizontal axis then linear regression model is appropriate. Otherwise non linear model is preferred. When the rediual value gets larger when prediction moves from small to large or large to small there exhibits the heterosedacity of data.

 

 

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