Linear Regression Intercept Calculator

Calculate the y-intercept (b0) of the least-squares regression line from the means of x and y and the slope.

Intercept (b0)

0.000000

y at x=00.0000
y at x = x_mean30.0000

Intercept (b0) vs Mean of y

Voir la formule →

Formule

## How to Calculate the Regression Intercept ### Formula **b0 = y_mean - b1 * x_mean** The y-intercept is the predicted value of Y when X = 0. The regression line always passes through the point (x_mean, y_mean). Once you have the slope b1, computing b0 is straightforward. The full regression equation is: Y = b0 + b1*X.

Exemple Résolu

Mean of y = 30, mean of x = 15, slope = 2.

  1. 01b0 = y_mean - b1 * x_mean
  2. 02b0 = 30 - 2 * 15
  3. 03b0 = 30 - 30 = 0
  4. 04Regression equation: Y = 0 + 2*X = 2X