Question

question 7 of 25
a set of data points has a line of best fit of ( y = - 0.2 x + 1.9 ). what is the residual for the point ( ( 5,1 ) )?
a. 0.9
b. - 0.1
c. 1.7
d. 0.1

Explanation:

Step1: Calculate the predicted value

Substitute \(x = 5\) into the line of best - fit equation \(y=-0.2x + 1.9\).

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Step2: Calculate the residual

The formula for the residual is \(residual=y_{actual}-y_{predicted}\).
Given \(y_{actual}=1\) and \(y_{predicted}=0.9\), then \(residual = 1-0.9\).

Answer:

D. \(0.1\)