The model y=41.57−4.184x

is applied to the data in the table below. Find the residual for the point where x=9


(1 point)
Responses

3.194
3 point 1 9 4

−2.914
negative 2 point 9 1 4

12.282
12 point 2 8 2

−3.282

1 answer

First, plug in x=9 into the model y=41.57−4.184x:

y = 41.57 - 4.184(9)
y = 41.57 - 37.656
y = 3.914

Next, find the residual by subtracting the actual y-value for x=9 from the predicted y-value:

Residual = 3.914 - 3.194
Residual = 0.72

Therefore, the residual for the point where x=9 is 0.72.