SOLUTION: Given the following set of paired data, calculate the correlation coefficient. Round your final answer to two decimal places. x 6 9 12 15 23

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Question 930772: Given the following set of paired data, calculate the correlation coefficient. Round your final answer to two decimal places.

x

6

9

12

15

23

y

11

5

1

6

3

My Solution:
X Y XY X2 Y2
6 11 66 36 121
9 5 45 81 25
12 1 12 144 1
15 6 90 225 36
23 3 69 529 9
Ex=65 EY= 37 EXY= 282 Ex2= 1015 EY2= 192
n = 5

R= 5(282)-(65)(37) Divided by Square root of
[5(1015) -(65)2power][5(192)-(37)2power]
Which gave me
-995Divded by square root of
5075 -4225 = [850][-409] = 347650 square root 589.6185207
SO,-995 divided by 589.6185207 = 1.687 Rounded to two decimalplacs is 1.69 which was marked wrong please tell me where i went wrong

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
xi yi (xi-13) (yi-5.2) (xi-x)2 (yi-y)2 (xi - x)(yi - y)
6 11 -7 5.8 49 33.64 -40.6
2 9 5 -4 -0.2 16 0.04 0.8
3 12 1 -1 -4.2 1 17.64 4.2
4 15 6 2 0.8 4 0.64 1.6
5 23 3 10 -2.2 100 4.84 -22
Sum 65 26 0 0 170 56.8 -56
Mean 13 5.2 sd 5.83 3.370
..........
R^2 = = .325
R = .570
.........
Excel Scatter Plot (Using specific layout options)
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