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 = b _{0} + b_{1}x**

where:

- b
_{0}= The average value of the response variable when the predictor variable is zero - b
_{1}= 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:

**b _{0}**

**b _{1}**

**x**

ŷ = **30.36000**