import numpy as np

xx = [2,3,4,5,6]
yy = [4,4,6,6,10]
print("Data of x is :", xx)
print("Data of y is :", yy)

x = np.array(xx)
y = np.array(yy)

n = len(x)
sum_x = np.sum(x)
sum_y = np.sum(y)
m_x = np.mean(x)
m_y = np.mean(y)
sum_xy = np.sum(np.multiply(x, y))
sum_xsq = np.sum(x**2)
sum_ysq = np.sum(y**2)
print("Number of Sample is :", n)
print("Sum of x is :", sum_x)
print("Sum of y is :", sum_y)
print("Mean of x is :", m_x)
print("Mean of y is :", m_y)
print("Sum of x*y is :", sum_xy)
print("Sum of x-square is :", sum_xsq)
print("Sum of y-square is :", sum_ysq)

var_x = (sum_xsq-m_x*sum_x)/(n-1)
var_y = (sum_ysq-m_y*sum_y)/(n-1)
std_x = np.sqrt(var_x)
std_y = np.sqrt(var_y)

sum_xy = np.sum(np.multiply(x, y))
cov_xy = (sum_xy-m_x*sum_y)/(n-1)
corr_xy = cov_xy/(std_x*std_y)

print("Variance of x :", var_x)
print("Variance of y :", var_y)
print("Standard deviation of x :", round(std_x, 6))
print("Standard deviation of y :", round(std_y, 6))
print("Covariance of x and y :", cov_xy)
print("Correlation of x and y :", round(corr_xy, 6))