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Circle all linear graphs and equations. Put a X through all non-linear graphs and equations. PowerPoint Presentation
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Circle all linear graphs and equations. Put a X through all non-linear graphs and equations.

Circle all linear graphs and equations. Put a X through all non-linear graphs and equations.

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Circle all linear graphs and equations. Put a X through all non-linear graphs and equations.

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  1. Circle all linear graphs and equations. Put a X through all non-linear graphs and equations.

  2. Scatter plot: a graph of points on a coordinate grid with each axis representing one of the two variables. Test score Hours watching TV

  3. Let’s collect some BIVARIATE data! Should I do my homework?

  4. 100 90 80 70 60 50 40 30 20 10 Test score 1 2 3 4 5 6 7 8 9 10 Homework completed

  5. Yes! Doing more homework means getting a higher test grade! I will do my homework!

  6. Create a scatter plot to compare a person’s height to arm span. 2.0 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4 0.2 Arm Span (m) 0.4 0.8 1.2 1.6 2.0 Height (m)

  7. Given the data tables below, determine the best scale for the x-axis and y-axis, then construct the scatter plots.

  8. 100 90 80 70 60 50 40 30 20 10 Test score These points form a tight cluster in an upward pattern. 1 2 3 4 5 6 7 8 9 10 Homework completed

  9. 100 90 80 70 60 50 40 30 20 10 So, homework and tests scores ARE related!! Test score 1 2 3 4 5 6 7 8 9 10 Homework completed

  10. 100 90 80 70 60 50 40 30 20 10 Test score This point is an outlier. 1 2 3 4 5 6 7 8 9 10 Homework completed

  11. Possible reasons for this outlier…. I get nervous when I test. I can’t remember how many assignments I did. I don’t really understand.

  12. Yes! Doing more homework means getting a higher test grade MOST of the time! The clusters tell me that I should do my homework!

  13. Circle and describe the pattern of the cluster of points in this graph. Box any outliers if found. 100 90 80 70 60 50 40 30 20 10 Test score 1 2 3 4 5 Hours watching TV

  14. 100 90 80 70 60 50 40 30 20 10 Test score X Y Positive association 1 2 3 4 5 6 7 8 9 10 Homework completed

  15. 100 90 80 70 60 50 40 30 20 10 X Y Test score Negative association 1 2 3 4 5 Hours watching TV

  16. 10 9 8 7 6 5 4 3 2 1 # of letters in last name No association 1 2 3 4 5 6 7 8 9 10 # of letters in first name

  17. Okay, maybe a little less TV.

  18. Determine the association in each graph. $$ on music card # mp3 downloads Test scores Money earned # letters in name Hours worked

  19. Would you expect a positive, a negative, or no association between the two variables? Explain why. • A person’s height and the number of letters in that person’s name. • The time spent exercising and the amount of calories burned. • The number of pages printed and the amount of ink left in the printer.

  20. Which graph shows a positive association? Height Calories Burned $$ in bank # of withdrawals # letters in name Time exercising

  21. What would be the association between shoe size and number of miles traveled to school each day?

  22. Thinking that all graphs will cluster in a linear pattern.

  23. 100 90 80 70 60 50 40 30 20 10 Perimeter of a square Linear 1 2 3 4 5 6 7 8 9 10 Side length of a square

  24. 100 90 80 70 60 50 40 30 20 10 Area of a square Non-Linear 1 2 3 4 5 6 7 8 9 10 Side length of a square

  25. 10 9 8 7 6 5 4 3 2 1 Height of ball (feet) Non-Linear 1 2 3 4 5 Time since ball released (seconds)

  26. Linear or Non-Linear? Non Linear Non Linear Linear Linear

  27. Which scenario would you expect to be linear? Temperature of a cup of soda Height of surfer on a wave Space on mp3 player # mp3 downloads Time Time

  28. Which scenario would you expect to be non-linear? Height Of a plant Height of car on a hilly road Months in school # of pencils Time Time

  29. 100 90 80 70 60 50 40 30 20 10 When x is 7, y is 65. 1 2 3 4 5 6 7 8 9 10

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

  31. 100 90 80 70 60 50 40 30 20 10 Line of Best Fit Or Linear Model Test score 1 2 3 4 5 6 7 8 9 10 Homework completed

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

  33. Find the line of best fit. Predict the response time if a person studies for of a minute. 100 90 80 70 60 50 40 30 20 10 Response Speed (sec) 1 2 3 4 5 Study Time (min)

  34. Which graph shows the line of best fit? $$ on music card $$ on music card $$ on music card # mp3 downloads # mp3 downloads # mp3 downloads

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

  36. The slope of the line is 100 90 80 70 60 50 40 30 20 10 . run = 5 rise = 40 1 2 3 4 5 6 7 8 9 10

  37. 100 90 80 70 60 50 40 30 20 10 Rate of Change = 10 We can expect the test score to increase by 10 points for every homework assignment completed. Test score run = 5 rise = 50 1 2 3 4 5 6 7 8 9 10 Homework completed

  38. Rate of change is We can expect test scores to decrease by 6 with each additional hour of watching TV 100 90 80 70 60 50 40 30 20 10 run = 1.5 rise = -10 Test score 1 2 3 4 5 Hours watching TV

  39. I will set the DVR and watch it later. Time to study! Watching TV has a negative effect on test scores!

  40. Find the rate of change using the line of best fit on the graph. 100 90 80 70 60 50 40 30 20 10 Response Speed (sec) 1 2 3 4 5 Study Time (min)

  41. 100 90 80 70 60 50 40 30 20 10 Find the rate of change using line of best fit on the graph. Perimeter of a square 1 2 3 4 5 6 7 8 9 10 Side length of a square

  42. Use the graph of the line of best fit to find the rate of change. What does the rate of change mean for this graph? 25 20 15 10 5 Food Remaining (ounces) 4 8 12 16 20 Minutes at Lunch

  43. The y-intercept is the point where the line crosses the y-axis. 100 90 80 70 60 50 40 30 20 10 The y-intercept is (0,30). 1 2 3 4 5 6 7 8 9 10 (0,30)

  44. 100 90 80 70 60 50 40 30 20 10 Y-intercept (0,0) We can expect the test score to be 0 if no homework assignments are completed. Test score 1 2 3 4 5 6 7 8 9 10 Homework completed (0,0)

  45. y-intercept (0,95) We can expect a test score of 95 when we don’t spend any time watching TV (0,95) 100 90 80 70 60 50 40 30 20 10 Test score 1 2 3 4 5 Hours watching TV

  46. I better get started on my homework! I should do my homework and limit my television watching!

  47. (x,y) y-intercept slope

  48. 100 90 80 70 60 50 40 30 20 10 1 • Find the rate of change • (slope) of the line (8,90) Test score 2 • Substitute the m, x, & y • into the y=mx+b 1 2 3 4 5 6 7 8 9 10 (2,30) Homework completed 3 Solve for b.

  49. 100 90 80 70 60 50 40 30 20 10 1 (8,90) • x Test score 2 1 2 3 4 5 6 7 8 9 10 (2,30) Homework completed 3