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.

27. Find Y, the y-coordinate of the point on the line in Exercise 26 with an x-coordinate of $x_2$.

Short answer

The value of $Y=354$.

Step-by-step solution

Step-1 – Equation of line.

We know that the medians of x-values $x_1=1988,x_2=1993,x_3=1998$ and medians of y-values is $y_1=247,y_2=360.5,y_3=461$

The equation of line is $y=21.4x-42,296.2$.

Step-2 – Substitute the respective values.

Substitute $x_2=1993,y=Y$ into $y=21.4x-42,296.2$

$Y=21.4\left(1993\right)-42,296.2$

Step-3 – Simplify the equation.

$\begin{array}{l}Y=21.4\left(1993\right)-42,296.2\\ Y=42,650.2-42,296.2\\ Y=354\end{array}$

The value of $Y=354$.