Respuesta :

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.

Ver imagen ElisabettaU290358
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