Solution Found!
A scatterplot contains four points: (-2,-2), (-1,-1),
Chapter 7, Problem 14E(choose chapter or problem)
A scatterplot contains four points: \((-2,-2)\), \((-1,-1)\), (0,0), and (1,1). A fifth point, \((2,y)\), is to be added to the plot. Let r represent the correlation between x and y.
a. Find the value of y so that \(r=1\).
b. Find the value of y so that \(r=0\).
c. Find the value of y so that \(r=0.5\).
d. Find the value of y so that \(r=-0.5\).
e. Give a geometric argument to show that there is no value of y for which \(r=-1\).
Equation Transcription:
Text Transcription:
(-2,-2)
(-1,-1)
(2,y)
r=1
r=0
r=0.5
r=-0.5
r=-1
Questions & Answers
QUESTION:
A scatterplot contains four points: \((-2,-2)\), \((-1,-1)\), (0,0), and (1,1). A fifth point, \((2,y)\), is to be added to the plot. Let r represent the correlation between x and y.
a. Find the value of y so that \(r=1\).
b. Find the value of y so that \(r=0\).
c. Find the value of y so that \(r=0.5\).
d. Find the value of y so that \(r=-0.5\).
e. Give a geometric argument to show that there is no value of y for which \(r=-1\).
Equation Transcription:
Text Transcription:
(-2,-2)
(-1,-1)
(2,y)
r=1
r=0
r=0.5
r=-0.5
r=-1
ANSWER:
Step 1 of 8
The five data points are given 