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Find Correlation Coefficient {{10,11,12,13,14},{3,12,18,12,3}}

Solution:
Your problem `->` Correlation Coefficient {{10,11,12,13,14},{3,12,18,12,3}}


`x``y``x^2``y^2``x*y`
103 100 `100=(10)^2` 9 `9=(3)^2` 30 `30=10 xx 3`
1112 121 `121=(11)^2` 144 `144=(12)^2` 132 `132=11 xx 12`
1218 144 `144=(12)^2` 324 `324=(18)^2` 216 `216=12 xx 18`
1312 169 `169=(13)^2` 144 `144=(12)^2` 156 `156=13 xx 12`
143 196 `196=(14)^2` 9 `9=(3)^2` 42 `42=14 xx 3`
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`sum x=60``sum y=48``sum x^2=730``sum y^2=630``sum xy=576`


`r = (n * sum xy - sum x * sum y)/(sqrt(n * sum x^2 - (sum x)^2) * sqrt(n * sum y^2 - (sum y)^2))`

`=(5 * 576 - 60 * 48 )/(sqrt(5 * 730 - (60)^2) * sqrt(5 * 630 - (48)^2)`

`=(2880 - 2880)/(sqrt(3650 - 3600) * sqrt(3150 - 2304))`






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