Question 505145: Arrange the following two sets of scores into 5 pairs of numbers (i.e. one
each from sets A and B) that show a perfect negative linear relationship (i.e. r = -1) and do the calculation for r demonstrating this.
Set A : 19, 11, 13, 25, 7
Set B : 48, 30, 42, 36, 44
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Arrange the following two sets of scores into 5 pairs of numbers (i.e. one
each from sets A and B) that show a perfect negative linear relationship (i.e. r = -1) and do the calculation for r demonstrating this.
Set A : 19, 11, 13, 25, 7
Set B : 48, 30, 42, 36, 44
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The smallest "A" number would have to be paired with
the largest "B" number: (7/48)
--
Then next smallest with next to largest
(11,44)
etc.
(13,42)
(19,36)
(25,30)
----
Notice that the B numbers decrease 1 when the A numbers increase by 1.
-----
Now you can calculate "r":
=============================
r = [summation[(x-xbar)(y-ybar)]/[(n-1)sxsy]
or
r = [(sumx)(sumy)]/sqrt[(sumx^2)*sqrt[n(sumy^2)-(sumy)^2]]
r = -1 (Got this using TI-84)
=============
Cheers,
Stan H.
Cheers,
Stan H.
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