Linear Regression Formula

Regression Equation(y) = a + mx

Slope(m) = (N x ΣXY - (ΣX_m)(ΣY_m)) / (N x ΣX² - (ΣX)²)

Intercept(a) = (ΣY_m - b(ΣX_m))

Where

x and y are the variables.

m = The slope of the regression line

a = The intercept point of the regression line and the y axis.

N = Number of values or elements

X = First Data Set

Y = Second Data Set

ΣXY = Sum of the Product of First and Second Data Set

ΣX_m = Mean of First (X) Data Set

ΣY_m = Sum of Second (Y) Data Set

ΣX² = Sum of Square of First (X) Data Set Values