Enter the value of b0, b1, and x of your linear regression equation to calculate y-hat, also known as ŷ.
The following formula can be used to calculate y-hat.
ŷ = b0 + b1*x
- Where ŷ is the value of the linear regression equation at any x
- b0 and b1 are constants calculated during regression analysis
- x is variable
To calculate y-hat, multiply b1 times x, then add b0.
Y-hat is defined as equal to the linear regression equation of a data set created during regression analysis.
How to calculate y-hat?
- First, determine your regression equation.
Using excel or statistical analysis, generate the regression equation of your data set. For this example we find b0 to be 5 and b1 to be 2.
- Next, calculate y-hat.
Calculate y-hat using the formula above and your given X value. For this example we will choose X = 3, so y-hat = 5 + 2*3 = 11.
Y-hat is a term used to describe the y value of a linear regression equation of any value x.