Question

the scatter plot below shows the relationship between practice hours and points scored. the equation for the line of best fit is ( y = 1.1x + 1 ). what is the meaning of 1.1 in the equation? show your work here

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. In the given equation \(y=1.1x + 1\), the form is similar to the slope - intercept form.

Step2: Interpret the slope in context

In the context of the problem, \(x\) represents practice hours and \(y\) represents points scored. The slope \(m = 1.1\) represents the rate of change of \(y\) with respect to \(x\). So, for each additional hour of practice (\(\Delta x=1\)), the number of points scored (\(y\)) is expected to increase by 1.1, on average.

Answer:

For each additional hour of practice, the number of points scored is expected to increase by 1.1, on average.