Chapter 1, Problem 8STP

To determine

To Find: The equation for the line of best fit for the data.

Answer to Problem 8STP

  $d=-1.13t+12$

Explanation of Solution

Given:

  

Formula used:

Linear line equation

  $y=mx+b$

Where,

  $m$ is the slope

  $b$ is the y-intercept

Calculation:

Best fit line is that straight line which represents the data of the scatter plot. This line may pass through some of the points, all the points and none of the point.

The best fit line for the given graph can be a straight line.

  

The slope of the line can be calculated as:

  $\begin{array}{l}m=\frac{(y_2-y_1)}{(x_2-x_1)}\\ m=\frac{\left(6-12\right)}{\left(5.3-0\right)}\\ m=-1.13\text{m/s}\end{array}$

Now put, $y=d,m=-1.13,x=t,b=12$ in the equation of line.

  $d=-1.13t+12$

Conclusion:

  $d=-1.13t+12$ is the required equation of the best fit line.