Question

The equation of the least squares regression line is y (hat)=1.3+0.73x. what is the residual for the point (4,7,

Answer 1

2.78

Explanation:

Just took

Answer 2

we know that
The residual value is the observed value minus the predicted value.
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]
where
Predicted value.--> the predicted value given the current regression equation
Observed value. --> The observed value for the dependent variable.

in this problem
predicted value for x=4 y (hat)=1.3+0.73*4-----> 4.22
predicted value is 4.22

observed value is 7
so
RESIDUAL VALUE=[7-4.22]------> 2.78

the answer is
the residual value is 2.78