Question

the equation for the line of best fit for a data set is y = 2x + 1.5. if the point (1, 4) is in the data set, what is the residual of 1? 0 0.5 0 3.5 0 4.0 0 7.5

Explanation:

Step1: Predict y - value

Substitute x = 1 into y = 2x+1.5.
$y_{predicted}=2\times1 + 1.5=3.5$

Step2: Calculate residual

Residual = $y_{actual}-y_{predicted}$. Given $y_{actual}=4$ and $y_{predicted}=3.5$.
Residual = $4 - 3.5=0.5$

Answer:

0.5