Question

question 24 of 25
a set of data points has a line of best fit of ( y = - 0.2 x + 1.7 ). what is the residual for the point ( ( 5,1 ) )?
a. 1.5
b. - 0.3
c. 0.3
d. 0.7

Explanation:

Step1: Calculate 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 \(y_{predicted}=0.7\), then \(e = 1-0.7\)

Answer:

C. \(0.3\)