Question

a set of data points has a line of best fit of y = 2.5x - 1.5. what is the residual for the point (5, 12)? a. 11 b. 12 c. -1 d. 1

Explanation:

Step1: Predict y - value

Substitute $x = 5$ into $y=2.5x - 1.5$.
$y=2.5\times5-1.5=12.5 - 1.5=11$

Step2: Calculate residual

Residual = Observed y - Predicted y. Observed y is 12 and predicted y is 11.
Residual=$12 - 11 = 1$

Answer:

D. 1