SCATTER PLOT PRACTICE NAME: _____________________________ Station #1 The following table shows the number hours of sleep a group of 8th grade students got the night before a test and each student’s score as a percentage. MATH SCORE VERSUS HOURS OF SLEEP Hours 9 of Sleep Test 93 Score 4 7 6 6 8 9 8 5 7 8 10 71 84 77 82 93 91 100 70 83 90 72 1. On the graph to the right, create a scatter plot from the data. You must have a title, x- and y-axis labels, even-numbered intervals, correctly plotted points, and a line of best fit. 2. What type of correlation does the data best represent? ___________________________________________________ 3. Is there a relationship between hours of sleep and the math test score? If so, write a sentence to explain the relationship. ___________________________________________________ ___________________________________________________ 4. Can a student who gets 8 hours of sleep expect to score a 100? Explain. ___________________________________________________ ___________________________________________________ 5. Based on your trend line, what is a student who gets 12 hours of sleep expected to make on his math test? Explain why this isn’t possible. ___________________________________________________ ___________________________________________________ 6. Did your graph contain an outlier? If so, what is it? _________ Explain why this point is an outlier, and what may have happened to cause the point to be an outlier. ___________________________________________________ ___________________________________________________ ___________________________________________________ SCATTER PLOT PRACTICE NAME: _____________________________ Station #2 The following table shows the number of siblings and the number of pets a person has in their family. SIBLINGS VERSUS PETS Siblings 2 2 2 0 3 1 3 7 1 3 6 2 Pets 4 1 12 2 1 1 1 4 0 2 0 2 1. On the graph to the right, create a scatter plot from the data. You must have a title, x- and y-axis labels, even-numbered intervals, correctly plotted points, and a line of best fit. 2. What type of correlation does the data best represent? ___________________________________________________ 3. Is there a relationship between the number of siblings and the number of pets are person may have? If so, write a sentence to explain the relationship. ___________________________________________________ ___________________________________________________ 4. Did your graph contain an outlier? If so, what is it? _________ Explain why this point is an outlier, and what may have happened to cause the point to be an outlier. ___________________________________________________ 5. Determine if each statement is true or false. a.) ___________________________________________________ b.) ___________________________________________________ c.) d.) An outlier exists a the point representing a person with 4 pets. ________ The person with least pets also has the most siblings. ____________ There is a positive linear association between the number of siblings and the number of pets. __________ The person with the second most number of siblings has no pets. _______________ SCATTER PLOT STATIONS NAME: _____________________________ Station #3 An earthquake hit Parkfield, CA in September of 2004. The earthquake had a magnitude of 6.0. The magnitude describes the size of the earthquake at the source. The table below describes the earthquake’s intensity – the effects of the earth’s shaking – at 12 different locations away from Parkfield, CA. DISTANCE FROM EPICENTER VS. INTENSITY Distance (km) 89 35 934 Intensity 4 5 1 47 1,431 99 497 2,019 482 778 5 4 2 1 3 3 1 401 294 3 1. On the graph to the right, create a scatter plot from the data. You must have a title, x- and y-axis labels, even-numbered intervals, correctly plotted points, and a line of best fit. 2. What type of correlation does the data best represent? 4 ___________________________________________________ 3. Is there a relationship between the epicenter and intensity? If so, write a sentence to explain the relationship. ___________________________________________________ ___________________________________________________ 4. ___________________________________________________ Do you think it would cost more or less to insure customers in the Parkfield region against earthquake damae than it would customers in places where there are no recorded earthquakes? Why? ___________________________________________________ ___________________________________________________ ___________________________________________________ ___________________________________________________ ___________________________________________________ If a city is 130 kilometers from the epicenter, predict the amount of intensity. Explain. ___________________________________________________ 6. ___________________________________________________ SCATTER PLOT STATIONS NAME: _____________________________ Station #4 The Olympic Games Men’s 110-Meter Hurdles event is a popular event in the Olympics. The table below shows the winning time for each of the Olympic Games since 1952. Year 1952 1956 1960 1964 4968 1972 1976 1980 1984 1988 1992 1996 2000 2004 Winning Time (sec) YEAR VERSUS WINNING TIME 13.7 13.5 13.8 13.6 13.3 13.25 13.3 13.4 13.2 13.0 13.1 12.95 13.0 12.9 1. On the graph to the right, create a scatter plot from the data. You must have a title, x- and y-axis labels, even-numbered intervals, correctly plotted points, and a line of best fit. 2. What type of correlation does the data best represent? ___________________________________________________ 3. Is there a relationship between the year and the winning time? If so, write a sentence to explain the relationship. ___________________________________________________ ___________________________________________________ 4. 6. Do you think the winning time is decreasing through the years? Why? ___________________________________________________ ___________________________________________________ ___________________________________________________ ___________________________________________________ 5. Why do the years given increase by four each time? ___________________________________________________ Do you think the winning time can continue to decrease? Explain. ___________________________________________________ 7. ___________________________________________________ Predict what the winning time will be in the 2016 Olympics. Explain your answer. ___________________________________________________ ___________________________________________________ SCATTER PLOT STATIONS NAME: _____________________________
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