Unit 4 Lesson 5 Demonstrating Mastery

M.8.SP.1 To 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 Mastery Task: 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 plot  analyze the scatter plot for patterns  identify 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

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

Your 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 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 outlier primarily a defensive player and rebounder point guard