Twenty pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown. 600 400 Residuals 200 0 -200 -400 -600 Өт 50 100 150 $200 X Which of the following conclusions is appropriate? ○ A line is an appropriate model to describe the relation between X and Y. ○ A line is not an appropriate model to describe the relation between X and Y. O The assumption of the Law of Averages has been violated. O The variables X and Y are not related at all. O There is not enough information about the variables X and Y to form a conclusion.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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Twenty pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown.
600
400
Residuals
200
0
-200
-400
-600
Өт
50
100
150
$200
X
Which of the following conclusions is appropriate?
○ A line is an appropriate model to describe the relation between X and Y.
○ A line is not an appropriate model to describe the relation between X and Y.
O The assumption of the Law of Averages has been violated.
O The variables X and Y are not related at all.
O There is not enough information about the variables X and Y to form a conclusion.
Transcribed Image Text:Twenty pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown. 600 400 Residuals 200 0 -200 -400 -600 Өт 50 100 150 $200 X Which of the following conclusions is appropriate? ○ A line is an appropriate model to describe the relation between X and Y. ○ A line is not an appropriate model to describe the relation between X and Y. O The assumption of the Law of Averages has been violated. O The variables X and Y are not related at all. O There is not enough information about the variables X and Y to form a conclusion.
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