Question

question 10 of 13 given the line of best fit for a set of data points with the equation y = 5x - 2.5, what is the residual for the point (4, 13)? a. 13 b. -13 c. 4.5 d. -4.5

Explanation:

Step1: Find predicted y - value

Substitute $x = 4$ into $y = 5x-2.5$.
$y_{predicted}=5\times4 - 2.5=20 - 2.5 = 17.5$

Step2: Calculate the residual

The formula for the residual is $e=y_{actual}-y_{predicted}$. Here, $y_{actual}=13$ and $y_{predicted}=17.5$.
$e = 13-17.5=-4.5$

Answer:

D. -4.5