Q29. - Algebra 2

Question

For exercise 25-30, use the following information.

A median-fit line is a particular type of line of fit. Follow the steps below to find the equation of the median-fit line for the data.

29. Write an equation of the median-fit line.

Step-by-Step Solution

Answer

The equation of median-fit line is $y=21.4x-42,294.03$.

Step-1 – Slope of line.

We know that the equation of line is $y=21.4x-42,296.2$.

Also, it is given that the median-fit line is parallel to the line $y=21.4x-42,296.2$.

Thus, the slope of the median-fit line should be $21.4$.

We know that the ordered pair $(1993,356.17)$ satisfy the equation of median-fit line.

Step-2 – Substitute the respective values.

Point slope form $y-y_1=m(x-x_1)$

Substitute $x_1=1993, y_1=356.17 and m=21.4$ into the point slope form.

$y-356.17=21.4(x-1993)$

Step-3 – Simplify the equation.

 $\begin{array}{l}y-356.17=21.4(x-1993)\\ y-356.17=21.4x-42,650.2\\ y=21.4x-42,294.03\end{array}$

The equation of median-fit line is $y=21.4x-42,294.03$.