Answer:
[tex] \hat y = 2*10 -4= 16[/tex]
And the real value for this case is y=14. The residual is defined as:
[tex] e= y -\hat y[/tex]
Replacing we got:
[tex] e = 14 -16 = -2[/tex]
And the best answer would be:
-2
Step-by-step explanation:
For this case we know that the best fit line for the relationship between x and y is given by:
[tex] \hat y = 2x-4[/tex]
And we know that an individual in the dataset has a score of 10 on the x-variable and a score of 14 on the y-variable. So then we can find the estimated value like this:
[tex] \hat y = 2*10 -4= 16[/tex]
And the real value for this case is y=14. The residual is defined as:
[tex] e= y -\hat y[/tex]
Replacing we got:
[tex] e = 14 -16 = -2[/tex]
And the best answer would be:
-2
