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Scatter Plots and Statistics Jeopardy!. Fix with RLSWhat’s misleading? Predict the future value Line of best fitTrends and Outliers 100 200 300 400 500.

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Presentation on theme: "Scatter Plots and Statistics Jeopardy!. Fix with RLSWhat’s misleading? Predict the future value Line of best fitTrends and Outliers 100 200 300 400 500."— Presentation transcript:

1 Scatter Plots and Statistics Jeopardy!

2 Fix with RLSWhat’s misleading? Predict the future value Line of best fitTrends and Outliers

3 Fix With RLS (100) Carra wants to know how many students at Wheeler eat packed lunches, so she asks 500 people at the grocery store. Address what she should fix with RLS. AnswerHome

4 Fix With RLS (100) ANSWER R-it is currently random, but she wants to know about Wheeler students, so she should ask at Wheeler L-she did ask a large sample size S-She should ask at Wheeler, not the grocery store. BackHome

5 Fix With RLS (200) Kayla wants to know how many of her classmates play at least 3 hours of video games a night, so she asks her 10 friends on Kanikapila how many hours they play. Address what she should fix with RLS AnswerHome

6 Fix With RLS (200) ANSWER (R ) People she asked weren’t random (L) Asked very few people (S) Asked at Kanikapila practice. These students probably play less video games because they sing after school BackHome

7 Fix With RLS (300) Abra wants to know how many people have gages. Which situation will provide the MOST bias? – (A) asking every 3 rd person at the grocery store – (B) asking every 3 rd person at a jewelry parlor – (C) asking every 5 th person at school – (D) asking every 5 th person at a library AnswerHome

8 Fix With RLS (300) ANSWER (B) asking every 3 rd person at a jewelry parlor BackHome

9 Fix With RLS (400) Leila wants to know how many middle school students want to have a longer recess. What situation will provide the LEAST bias? (A) asking students who are tardy after recess (B) asking all 8 th graders (C) asking every 3 rd classmate (D) asking every 2nd person to come to school AnswerHome

10 Fix With RLS (400) ANSWER (D) asking every 2 nd person to come to school BackHome

11 Fix With RLS (500) Design a way to measure how many students in the 8 th grade eat peanut butter and jelly sandwiches for lunch. AnswerHome

12 Fix With RLS (500) ANSWER Answers will vary Example: – (R) ask every 3 rd eighth grader to show up for school – (L) ask the entire 8 th grade population – (S) ask at Wheeler BackHome

13 What’s Misleading? (100) Answer Home

14 What’s Misleading? (100)ANSWER The size of the picture of the animals are very different, so even though each picture means 50, it looks like more people own horses than any other animal. BackHome

15 What’s Misleading? (200) AnswerHome

16 What’s Misleading? (200)Answer Although the vertical scale starts at 0, it does not go up in even steps. This distorts the graph, and makes it look as though the biggest jump is between 1 and 2, rather than 3 and 4. Also, there are no labels on the axes, so we have no idea what this graph represents! BackHome

17 What’s Misleading? (300) AnswerHome

18 What’s Misleading? (300)ANSWER From this graph, it looks as though house prices have tripled in one year! It is misleading because the vertical axis does not start at 0. BackHome

19 What’s Misleading? (400) AnswerHome

20 What’s Misleading? (400)ANSWER There is no scale on the vertical axis and, because of the perspective, it looks as though sales for 1995 were far greater than those for any other year. In fact, they were identical to those in BackHome

21 What’s Misleading? (500) AnswerHome

22 What’s Misleading? (500) ANSWER The cars, trucks and semis are all different sizes, so it looks like there are more trucks and semis than there are. BackHome

23 Predict the Future Value (100) Predict the value of the German Mark if the French Mark is at 100. AnswerHome

24 Predict the Future Value (100) Answer Around 105 – (100, 105) Acceptable answers 100 – 120 BackHome

25 Predict the Future Value (200) Predict the hours of sleep if you drink 10 cups of coffee. AnswerHome

26 Predict the Future Value (200) ANSWER Around 1.5 – (10, 1.5) Acceptable Answers between 1 and 2. BackHome

27 Predict the Future Value (300) Line of best fit: y = 3x – 35 Predict the y value when x is 14. AnswerHome

28 Predict the Future Value (300) ANSWER y = 7 (14, 7) BackHome

29 Predict the Future Value (400) Slope: 2 Y-intercept: -28 Predict the value of y when x is 45 AnswerHome

30 Predict the Future Value (400) ANSWER 62 (45, 62) Line of best fit: y = 2x – 28 BackHome

31 Predict the Future Value (500) The line of best fit goes through the points (3, 9) and (12, 27). Predict the value of y when x is 15. AnswerHome

32 Predict the Future Value (500) ANSWER 33 (15, 33) Line of best fit: y = 2x + 3 BackHome

33 Line of Best Fit (100) Is y =.5x a good estimate for this line? AnswerHome

34 Line of Best Fit (100) ANSWER No, the slope matches, but the y-intercept is slightly too high. BackHome

35 Line of Best Fit (200) Is this a good line of best fit? AnswerHome

36 Line of Best Fit (200) ANSWER No, the data is not spread above and below the line evenly Cannot use the line to estimate where most points will fall on the line. BackHome

37 Line of Best Fit (300) What type of correlation would you expect to see if you were measuring the number of cats (x) vs. the number of mice (y) in a farmer’s barn? AnswerHome

38 Line of Best Fit (300) ANSWER Negative correlation. As the number of cats increases (x) the number of mice in the barn (y) will decrease. BackHome

39 Line of Best Fit (400) A line of best fit goes through the points (4, 18) and (12, 34). What is the equation of the line of best fit? AnswerHome

40 Line of Best Fit (400) ANSWER Y = 2x + 10 BackHome

41 Line of Best Fit (500) A line of best fit goes through the points (7, 11) and (2, -5). What is the equation of the line of best fit? AnswerHome

42 Line of Best Fit (500) ANSWER Y = 3.2x – 11.4 BackHome

43 Trends and Outliers (100) Describe the correlation seen in the graph to the left. AnswerHome

44 Trends and Outliers (100)ANSWER Positive correlation Can’t be “no correlation” because they follow an upward pattern and there are no values in the lower right to suggest no connection. BackHome

45 Trends and Outliers (200) Are there any outliers? If so, identify them by location. If not, explain how you know. AnswerHome

46 Trends and Outliers (200) ANSWER There are no outliers. The data is tightly clustered around the line.

47 Trends and Outliers (300) Which graph shows the relationship between a dog’s age and how fast it can run? AnswerHome

48 Trends and Outliers (300) ANSWER C As the dog gets older, it can’t run as fast. BackHome

49 Trends and Outliers (400) Could I describe the relationship in this graph as “the fewer years you work, the less income you make”? AnswerHome

50 Trends and Outliers (400) ANSWER YES Remember, the word “less” is tricky. Avoid it to avoid making mistakes. BackHome

51 Trends and Outliers (500) Sketch a graph of the correlation between the hours of daylight (x) and the number of surfers on the water (y). AND describe if this would be a strong or weak correlation AnswerHome

52 Trends and Outliers (500) ANSWER Fairly strong. People don’t surf when it’s dark. BackHome


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