Question

a freight company collects data on how many miles their truck drivers have traveled over varying periods of time. the company created a scatter plot and formally fit a line to the data using a graphing calculator. the screenshot shows the results of the company generating a line, in slope - intercept form, to model the relationship between the time spent driving, x, and the number of miles traveled, y. y1 ~ mx1 + b statistics r² = 0.8787 r = - 0.9374 residuals c1 plot parameters - 4.45606 0.8787 0.936793 0.9374 0.9374 using the output shown, the equation for the line of best fit is y = x+ - 4.45606

Explanation:

Step1: Recall slope - intercept form

The equation of a line in slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Identify slope and y - intercept from given values

From the screenshot, the value corresponding to the slope $m$ is not clearly indicated in the provided text part, but the y - intercept $b=-4.45606$. Usually in such calculator outputs, the slope value is the other non - intercept value related to the linear model. Assuming the correct value for slope is the one that makes sense in the context of linear regression output, if we assume the value just above the y - intercept value in the list is the slope. Let's assume the slope $m = 0.9374$. So the equation of the line of best fit is $y=0.9374x - 4.45606$.

Answer:

$y = 0.9374x-4.45606$