Question

the relationship between the amount of time a basketball player spent practicing the day before a game and the number of points he scored in the game is graphed on the scatter plot shown. scatter plot titled basketball players, with the x axis labeled time practicing in minutes and the y axis labeled points scored with points at 0 comma 10, 10 comma 15, 15 comma 18, 25 comma 25, 30 comma 28, 30 comma 30, 45 comma 35, 70 comma 40, 70 comma 45, 80 comma 45, 90 comma 50, and 120 comma 60 describe the type and degree of association in the scatter plot and what it means in terms of the time the player spent practicing and the number of points he scored in the game.

Answer 1

strong positive association

Explanation:

You want the type and degree of association between x (minutes of practice) and y (points scored), given the data set ...

(x, y) ∈ {(0, 10), (10, 15), (15, 18), (25, 25), (30, 28), (30, 30), (45, 35), (70, 40), (70, 45), (80, 45), (90, 50), (120, 60)}

Correlation

The "degree of association" in this context is measured by the correlation coefficient, r. The closer its magnitude is to 1, the greater the degree of association. The correlation between minutes of practice and points scored can be found by a suitable calculator. It is ...

r ≈ 0.985

The correlation is very near 1, so we can say there is a strong positive association between time practicing and points scored.

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Additional comment

The sign of the correlation coefficient tells the sign of the slope of the line of best fit through the scatter plot of the data. The more the data plot resembles a straight line, the greater the correlation. The scatter plot of this data, along with the line of best fit, is shown in the second attachment.

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