Question

use the regression line for the data in the scatterplot to answer the question. on average, how many more goals will a player score for every additional hour of practice?
o $\frac{1}{2}$ of a goal
o $\frac{3}{4}$ of a goal
o 1 goal
o $\frac{4}{3}$ goals

Explanation:

Step1: Recall slope concept

The number of additional goals per additional hour of practice is the slope of the regression line.

Step2: Select two points on line

Let's take two points on the regression line, say $(2,2)$ and $(4,3)$.

Step3: Calculate slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 2,y_1=2,x_2 = 4,y_2 = 3$ gives $m=\frac{3 - 2}{4 - 2}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$ of a goal