Question

the equation for the line of best fit is y = 2.1x + 6. according to the equation, which of these statements is true? a typical student’s score improves by about 2 points for each additional year of experience. a typical student’s score improves by about 6 points for each additional year of experience.

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In $y = 2.1x+6$, $m = 2.1$ and $b = 6$.

Step2: Interpret the slope

The slope $m$ represents the rate of change. Here, $x$ is years of experience and $y$ is total points. So for each 1 - unit increase in $x$ (1 additional year of experience), $y$ increases by approximately 2.1, which is about 2 points.

Answer:

A. A typical student’s score improves by about 2 points for each additional year of experience.