Question

percussion competition
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 students score improves by about 6 points for each additional year of experience.
a typical students score improves by about 2 points for each additional year of experience.

Explanation:

Step1: Recall the slope - intercept form of a linear equation

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. In the given equation \(y=2.1x + 6\), \(x\) represents the number of years of experience and \(y\) represents the total points.

Step2: Interpret the slope

The slope \(m = 2.1\approx2\). The slope \(m\) represents the rate of change of \(y\) with respect to \(x\). In the context of this problem, it means that for each unit increase in \(x\) (each additional year of experience), \(y\) (the total points) increases by approximately \(2.1\approx2\) points.

Answer:

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