Question
Determine the value of the coefficient of correlation, r, for the following data. X 4 6 ...
Determine the value of the coefficient of correlation, r, for the following data.
X 4 6 7 11
15 17 21
Y 18 13 13 8 7 7 6
(Round the intermediate values to 3 decimal places. Round your answers to 3 decimal places.)
r = ___
Homework Answers
Answer #1
= 
X /n = 81 / 7 = 11.571
=
Y / n = 72 / 7 = 10.286
X2
= 1177 ,
Y2 = 860,
X Y = 679
Sxx =
X2 - n
2 = 1177 - 7 * 11.5712 = 239.784
Syy =
Y2 - n
2 = 860 - 7 * 10.2862 = 119.387
Sxy =
X Y - n
= 679 - 7 * 11.571 * 10.286 = -154.135
r = Sxy . sqrt ( Sxx * Syy)
= -154.135 / sqrt [ 239.784 * 119.387 ]
= -0.911
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