A scatterplot contains four points: (2,2), (1,1), (0,0), and (1,1). A fifth point
Chapter 7, Problem 14(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)
(0,0)
(1,1)
(2,y)
r=1
r=0
r=0.5
r=-0.5
r=-1
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