2. Unit 4 Lesson 6 Demonstrating Mastery

3. M.8.SP.2 To demonstrate mastery of the objectives in this lesson you must be able to:  Know that straight lines are widely used to model relationships between two quantitative variables.  Informally fit a straight line to a scatter plot that shows linear association.  Informally assess the model fit by judging the closeness of the data points to the line.

4. 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. The coach wants to use the data to help plan for next year’s season and needs your assistance. To help the coach you will:  fit a straight line to data displayed in a scatter plot.  make predictions based on the graph of a line that has been fit to data.

5. The average minutes played and average points scored for the players on the Tigers Basketball Team. Average minutes played 1246182214165 152710145 Average points scored 10362018141231412268 4

7. Task Continued Draw a line in the plot that you think would fit the trend in the data. Use your line to answer the following questions for the coach. What is your prediction of the points scored for a player that plays an average of 11 minutes? What is your prediction of the points scored for a player that plays an average of 6 minutes? How many minutes would the coach need to play a player in order for him to average 14 points? Use the line to predict the average points scored when averaging 18 minutes of playing time? How far off was your prediction from the actual average points?

9. Task Answers A player that plays an average of 11 minutes will average scoring approximately 9 points. A player that plays an average of 6 minutes will average scoring approximately 5 points. The coach would need to play a player an average of 17 minutes in order for him to average 14 points per game. The line indicates that a player will average 15 points when he plays an average of 18 minuets per game. The observed data was 16 points, so the line predicted an average score of 1 point less than the observed value.