Question

A set of data points has a line of best fit of y = –0.2x + 1.9. What is the residual for the point (5, 1)?

A. 0.1
B. -0.1
C. 0.9
D. 1.7

Answer 1

A. 0.1
The residual is the difference between the observed value and the predicted value for a data point. You obtain it by subtracting the predicted value from the observed value. So the predicted value is: y = -0.2x + 1.9 y = -0.2*5 + 1.9 y = -1 + 1.9 y = 0.9 Therefore the residual is: r = 1 - 0.9 r = 0.1 And the value of 0.1 matches option "A".