# Golang : Find correlation coefficient example

Below is an example of Golang code to find the strength of relation between two given variables or correlation coefficient. For financial analysis, it is useful in finding out if a variable has negative or positive correlation.

From investopedia.com:

A correlation of -1.0 shows a perfect negative correlation, while a correlation of 1.0 shows a perfect positive correlation. A correlation of 0.0 shows zero or no relationship between the movement of the two variables.

Here you go!

`````` package main

import (
"fmt"
"math"
)

func main() {
X := []int{15, 18, 21, 24, 27}
Y := []int{25, 25, 27, 31, 32}

// Size of X array.
n := len(X)

// Get the strength of relation between two variables - X and Y
fmt.Println(correlationCoefficient(X, Y, n))

}

func correlationCoefficient(X []int, Y []int, n int) float64 {

sum_X := 0
sum_Y := 0
sum_XY := 0
squareSum_X := 0
squareSum_Y := 0

for i := 0; i < n; i++ {
// sum of elements of array X.
sum_X = sum_X + X[i]

// sum of elements of array Y.
sum_Y = sum_Y + Y[i]

// sum of X[i] * Y[i].
sum_XY = sum_XY + X[i]*Y[i]

// sum of square of array elements.
squareSum_X = squareSum_X + X[i]*X[i]
squareSum_Y = squareSum_Y + Y[i]*Y[i]
}

// use formula for calculating correlation
// coefficient.
corr := float64((n*sum_XY - sum_X*sum_Y)) /
(math.Sqrt(float64((n*squareSum_X - sum_X*sum_X) * (n*squareSum_Y - sum_Y*sum_Y))))

return corr

}
``````

Output:

0.9534625892455922

References :

https://www.investopedia.com/terms/c/correlationcoefficient.asp

https://www.geeksforgeeks.org/program-find-correlation-coefficient

https://www.socketloop.com/tutorials/golang-convert-cast-int-to-float-example