A linear model has the equation y=10.4−0.25x. What is the residual for a point (6,9.2)?(1 point)

Question

The residual is
.

Answer 1

To find the residual, we first need to calculate the predicted value of y (denoted as ŷ) using the given linear model equation.

Plugging in x=6 into the equation y=10.4 - 0.25x:
ŷ = 10.4 - 0.25(6)
ŷ = 10.4 - 1.5
ŷ = 8.9

Now, we can calculate the residual by subtracting the predicted value ŷ from the actual value of y at point (6,9.2):
residual = actual y - predicted y
residual = 9.2 - 8.9
residual = 0.3

Therefore, the residual for the point (6,9.2) is 0.3.