Q4. - Algebra 2

Question

On August 26,2000 the Houston Comets beat the New York Liberty to win their fourth straight WNBA championship. The table shows the heights and weights of the Comets who played in that final game.

4. Use your prediction equation to predict the missing value.

Step-by-Step Solution

Answer

The missing value is $y=180$ that is when Height is $72$ in. then Weight is$180$ lb.

Step-1 –Determine a line of fit

Step-2 –Determine two points on the line and the slope of the line

The two points on line are $(65,160)$ and $(72,180)$

So, _{$\begin{array}{c}{x}_1=65,y_1=160\\ x_2=72,y_2=180\end{array}$}

_{Slope, $m=\frac{y_2-y_1}{x_2-x_1}=\frac{180-160}{72-65}=\frac{20}{7}$}

Step-3 –Determine the prediction equation in slope Intercept form

General form of the slope intercept equation is

$y-y_1=m(x-x_1)$

Since, $m=\frac{20}{7},y_1=160,x_1=65$

So, prediction equation in slope intercept form is

$\begin{array}{c}y-160=\frac{20}{7}(x-65)\\ or,7y-160\times 7=20x-20\times 65\\ or,20x-7y=1300-1120\\ or,20x-7y=180\end{array}$

Step-4 –Determine the missing value

The prediction equation is

$20x-7y=180$

Since, $x=72$