Question

If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?

Answer 1

Answer:

The residual value is -0.75

Step-by-step explanation:

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

we have the point (1,4)

so

The observed value is 4

Find the predicted value  for x=1

$y =1.5(1)+3.25=4.75$

predicted value is 4.75

so

RESIDUAL VALUE=(4-4.75)=-0.75