Question

question 25 of 25
a set of data points has a line of best fit of ( y=-0.2x + 1.7 ). what is the
residual for the point ( (5,1) )?
a. 0.7
b. 1.5
c. -0.3
d. 0.3

Explanation:

Step1: Find the predicted value

Substitute \(x = 5\) into the line of best - fit equation \(y=-0.2x + 1.7\).
\(y=-0.2\times5+1.7\)
\(y=-1 + 1.7\)
\(y = 0.7\)

Step2: Calculate the residual

The formula for the residual is \(e=y_{actual}-y_{predicted}\).
Given \(y_{actual}=1\) and \(y_{predicted}=0.7\).
\(e=1 - 0.7\)

Answer:

D. \(0.3\)