In the above graph, the scatter plot and the line of best fit are shown.
The scatter plot shows a negative correlation (when x-values increase, y-values decrease). The correlation is very strong (all the dots lie on the line).
From the graph, the y-intercept is (0, 10)
The slope of the line (m) that passes through the points (x1, y1) is computed as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the points (25, 5) and (30, 4) we get:
[tex]m=\frac{4-5}{30-25}=-\frac{1}{5}[/tex]
The equation of a line in slope-intercept form is
y = mx + b
where m is the slope and b is the y-coordinate of the y-intercept.
Substituting with m = -1/5 and b = 10, we get:
[tex]y=-\frac{1}{5}x+10[/tex]
From the graph, the x-intercept is (50, 0). This means that if a player practices 50 hours he/she will not make errors.
