Question

The function y = 0.45x + 8.8 expresses the linear relationship displayed by the scatter plot. Calculate the residual value for x = 12.

A) -0.4
B) -0.2
C) 0.2
D) 0.4

Answer 1

It would be letter A , -0.4

Answer 2

The Residual value for x = 12 is -0.2

From the graph , the actual y value when x = 12 is : 14

From the equation, The predicted value for x = 12 :

• y = 0.45(12) + 8.8 = 14.2

The residual value is defined as :

• Actual - predicted value

Now we have:

Residual = 14 - 14.2

Residual = -0.2