In statistics, the term y hat (written as ŷ) refers to the estimated value of a response variable in a linear regression model.
We write an estimated regression equation as follows:
ŷ = b0 + b1x
where:
- b0 = The average value of the response variable when the predictor variable is zero
- b1 = The average change in the response variable associated with a one unit increase in the predictor variable
- x = The value of the predictor variable
To calculate the value of y hat for a given regression model, simply enter the values for the regression model below and then click the “Calculate” button:
b0
b1
x
ŷ = 30.36000
