Regression Intercept Calculator

Calculate the y-intercept of the least-squares regression line from the slope and mean values of x and y.

Y-Intercept (b0)

7.5005

Y-Intercept (b0) vs Slope (b1)

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Formula

## Regression Intercept The y-intercept is the predicted value of y when x equals zero. The regression line always passes through the point (x-bar, y-bar). ### Formula **b0 = y-bar - b1 × x-bar** The intercept may not have a meaningful interpretation if x = 0 is outside the range of observed data. The regression equation is: y-hat = b0 + b1 × x.

Esempio Risolto

With slope = 0.8333, mean x = 15, mean y = 20.

  1. 01b0 = 20 - 0.8333 × 15
  2. 02b0 = 20 - 12.5 = 7.5005
  3. 03Regression equation: y-hat = 7.50 + 0.833x