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

To find the residual for the point where x=9, we need to first calculate the predicted value of y for x=9 using the given equation.

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

Now that we have the predicted value of y, we can calculate the residual by finding the difference between the actual y value for x=9 and the predicted y value.

Residual = Actual y - Predicted y = 3 - 3.914 = -0.914

Therefore, the residual for the point where x=9 is -0.914.