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. -1 b. 12 c. 11 d. 1

Explanation:

Step1: Calculate the predicted value

Substitute \(x = 5\) into the line of best - fit equation \(y=2.5x - 1.5\).
\(y_{predicted}=2.5\times5-1.5\)
\(y_{predicted}=12.5 - 1.5=11\)

Step2: Calculate the residual

The formula for the residual is \(Residual=y_{actual}-y_{predicted}\).
Given \(y_{actual} = 12\) and \(y_{predicted}=11\), then \(Residual = 12-11\)

Answer:

D. 1