Final answer:
To calculate y hat, substitute the given values of y into the equation for y hat.
Step-by-step explanation:
To calculate the predicted values (y^) based on a regression model, you need the regression equation. The general form of a simple linear regression equation is:
y^=b0+b1⋅x
where:
y^is the predicted or estimated value.
b0is the y-intercept.
b1 is the slope.
x is the input variable.
If you have multiple predictor variables, the equation becomes a multiple linear regression:
y^=b0+b1⋅x1+b2⋅x2+…+bn⋅xn
where
x1,x2,…,xn are the predictor variables.
Since you provided a list of numbers (89.4, 836.6, 83.2, 80.7, 77.5, 74.4, 63.5, 71.3, 64), it's not clear what the predictor variable is or whether it's a simple or multiple regression model.
If you have the regression equation, please provide it, and I can help you calculate the predicted values (y^) based on the given data. If you don't have the regression equation, you'll need to obtain it from the regression analysis performed on your data.