Question

question 22 of 25
a set of data points has a line of best fit of $y=-0.2x+1.8$. what is the residual for the point $(5, 1)$?
a. 0.8
b. -0.2
c. 0.2
d. 1.6

Explanation:

Step1: Calculate predicted y-value

Substitute $x=5$ into $y=-0.2x+1.8$:
$y_{\text{predicted}} = -0.2(5) + 1.8 = -1 + 1.8 = 0.8$

Step2: Compute residual

Residual = Observed y - Predicted y:
$\text{Residual} = 1 - 0.8 = 0.2$

Answer:

C. 0.2