Question

Given the line of the best fit for a set of data points with equation y=-5x-2.5 what is the residual for the point (3,6)

Answer 1

Answer:

The residual of the point $(3,6)$ in the equation $y=-5(x)-2.5$ is $= 23.5$

Step-by-step explanation:

We have been given point $(3,6)$ where $x=3$.

Now the equation is $y=-5(x)-2.5$.

Plugging the value of $x=3$ in the equation of $y=-5(x)-2.5$,

we have to find the predicted value of y and $y=-5(3)-2.5 =-15-2.5=-17.5$.

So y predicted $=-17.5$.

To find the residual point we have to subtract the actual value from the predicted value.

As actual value of $y=6$ along with the points $(3,6)$.

Residual point = Actual value - Predicted value.

                        $=6 -(-17.5) =23.5$

So the residual for the point $(3,6)$ is $23.5$.