Linear Regression Calculator - Statistics

In statistics, regression is a statistical process for evaluating the connections among variables. Regression equation calculation depends on the slope and y-intercept. Enter the X and Y values into this Statistics Linear Regression calculator to calculate the simple regression equation line.

Calculate Simple / Linear Regression Line

To Calculate Regression:
X ValueY Value
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Regression Formula :

Regression Equation(y) = a + mx Slope(m) = (N x ΣXY - (ΣXm)(ΣYm)) / (N x ΣX2 - (ΣX)2) Intercept(a) = (ΣYm - b(ΣXm)) 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 ΣXm = Mean of First (X) Data Set ΣYm = Sum of Second (Y) Data Set ΣX2 = Sum of Square of First (X) Data Set Values

A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0). Linear regression is the technique for estimating how one variable of interest (the dependent variable) is affected by changes in another variable (the independent variable). If it is one independent variable, it is called as simple linear regression. When there are more than one independent variable it is called as multiple linear regression.

Example :

To calculate the simple linear regression equation,
let consider the two variable as dependent (x) and the the independent variable (y).

X = 4, Y = 5
X = 6, Y = 8

You will get the slope as 1.5, y-intercept as -1 and the regression equation as -1 + 1.5x.

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