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How do you use observed data to predict unobserved data? Hours watching TV Test score.

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Presentation on theme: "How do you use observed data to predict unobserved data? Hours watching TV Test score."— Presentation transcript:

1 How do you use observed data to predict unobserved data? Hours watching TV Test score

2 In this lesson you will learn how to interpret scatter plots by identifying the line of best fit.

3 Let’s Review 1 2 3 4 5 6 7 8 9 10 100 90 80 70 60 50 40 30 20 10 When x is 7, y is 65.

4 Let’s Review A Common Mistake Homework completed 100 90 80 70 60 50 40 30 20 10 1 2 3 4 5 6 7 8 9 10 Test score

5 Let’s Review Core Lesson Homework completed 100 90 80 70 60 50 40 30 20 10 1 2 3 4 5 6 7 8 9 10 Test score Line of Best Fit Or Linear Model

6 Let’s Review Core Lesson Homework completed 100 90 80 70 60 50 40 30 20 10 1 2 3 4 5 6 7 8 9 10 Test score When 4 homework assignments are completed, a grade of 50 is expected.

7 Let’s Review Core Lesson Hours watching TV Test score 100 90 80 70 60 50 40 30 20 10 1 2 3 4 5 When 2.5 hours of TV are watched, a grade of 72 is expected.

8 Let’s Review Core Lesson We use the line of best fit, also known as the linear model, to predict unobserved values. 1 2 3 4 5 6 7 8 9 10 100 90 80 70 60 50 40 30 20 10

9 In this lesson you learned how to interpret scatter plots by identifying the line of best fit.

10 Let’s Review Guided Practice Study Time (min) Response Speed (sec) 100 90 80 70 60 50 40 30 20 10 1 2 3 4 5

11 Let’s Review Extension Activities Find a data table in your local newspaper that compares two pieces of data. Construct a scatter plot using the data found. Informally draw the line of best fit. Use this line to predict 3 values that were not observed.

12 Let’s Review Extension Activities Survey 10 people and construct your own scatter plot with the results. Informally draw the line of best fit. Use this line to predict 3 values that were not observed.

13 Let’s Review Quick Quiz Which graph shows the line of best fit? # mp3 downloads $$ on music card # mp3 downloads $$ on music card # mp3 downloads $$ on music card

14 Let’s Review Quick Quiz Use the line of best fit to predict amount of food left on a students plate after a 30 minute lunch. Minutes at Lunch Food Remaining (ounces) 25 20 15 10 5 4 8 12 16 20

15 Let’s Review Quick Quiz The scatter plot shows the number of CDs (in millions) that were sold from 1999 to 2005. If the trend continued, about how many CDs were sold in 2006?

16 Let’s Review Quick Quiz Make a scatter plot of the data in the table. Draw a line of best fit. What is the equation of the line of best fit?

17 Let’s Review Quick Quiz The table below shows the predicted annual cost for a middle income family to raise a child from birth until adulthood. Draw a scatter plot and describe what relationship exists within the data. Draw a line of best fit and predict cost at age 18.


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