Y-Hat Calculator

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

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