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Unit 4 Lesson 5Demonstrating Mastery

M.8.SP.1To demonstrate mastery of the objectives in this lesson you must be able to:Construct and interpret scatter plots for bivariate measurement data.Identify linear versus nonlinear pattern.Distinguish between a positive or negative linear association.Determine the presence of clusters and outliers.

Performance Task for Demonstration of MasteryTask: You are one of the managers for the Tigers basketball team. Your job is to keep track of playing time and points scored for each player during the season. Now that the season is over, the coach wants you to:display the data set in a scatter plotanalyze the scatter plot for patternsidentify any clusters or outliers and possible meanings determine if there is a statistical relationship between playing time and points scored.present your findings to the coaching staff

3You have calculated the averages for each player and displayed them in the table below. Use this information to construct the scatter plot.Average minutes played124618221416516152710145Average points scored1026206141231412068124

After 25 games and all of the collected data, it is easier to use averages to display the in the table and scatter plot. 4

To construct a scatter plot of these data, you need to determine the independent and dependent variable. In this case, the number of points scored depends on the amount of playing time. Therefore, average points scored is your dependent variable and should be graphed on the y-axis. The average minutes played is your independent variable and should be graphed on the x-axis. Use ordered pairs to graph each point (12,10), (4,2), (6,6) etc.. Be sure to use appropriate scales on the axes. The scatter plot clearly indicates a positive linear association indicating that the more minutes you play the more points you score. There is clustering in the 14-16 minute range and a noticeable outlier at (22,6).5Your report based on conclusions drawn from the scatter plot should include the following:The scatter plot indicates that there is a positive linear association between the average minutes played and the average points scored.

The statistical relationship supports the conclusion that the more minutes a player plays, the more points he will score.

There is clustering around the 14-16 minute range which indicates that several players play and score about the same amount.

Point (22,6) is a noticeable outlier. This point means that a player averages 22 minutes of playing time and only averages 6 points which does not support the conclusion of more playing time equals more points scored.Possible reasons for the outlierprimarily a defensive player and rebounderpoint guard