Free 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)
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.
Example Calculation
With slope = 0.8333, mean x = 15, mean y = 20.
- 01b0 = 20 - 0.8333 × 15
- 02b0 = 20 - 12.5 = 7.5005
- 03Regression equation: y-hat = 7.50 + 0.833x
Frequently Asked Questions
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