NAME: ______
Scatter Plot Study Guide
1.)What type of correlation would you expect for each situation? Explain
a.)The distance that a person rides his/her bike and the amount of calories burned.
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b.)The amount of time a person spends working and the amount of free time a person has.
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c.)A person’s height (inches) and the number of pets they own.
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2.)Use the number line below and describe what a correlation coefficient tells about a set of data. Put an example of an r value on the number line and explain what it means.
2a.)Positive and weak correlationr = ______
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2b.)Positive and strong correlationr = ______
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2c.)Negative and strong correlationr = ______
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2d.)Negative and weak correlationr = ______
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Use the line of best fit to answer questions 3 and 4
3.)Based on the line of best fit, predict the daily sales if the temperature was 54 degrees.
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4.)Based on the line of best fit, predict the temperature if the daily sales was $100.
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Speed (mi/h) / Stopping Distances (ft)10 / 27
15 / 44
20 / 63
25 / 85
30 / 109
35 / 136
40 / 164
45 / 196
Use the table of values to answer questions 5 – 7.
5.)Enter this data into your calculator.
What is the slope?______
What is the y-intercept?______
What is the correlation coefficient? ______
What is the best fit line?______
6.)Using your best fit line for this data, predict what the stopping distance is after 55 miles per hour.
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7.)Using your best fit line for this data, predict the speed in miles per hour it would take for the stopping distances to be 250 feet.
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Use the table of values to answer questions 8 – 10.
Minutes UsingCell Phone / Battery Charge
Percentage
0 / 100
10 / 95
20 / 88
30 / 85
40 / 79
50 / 72
60 / 68
8.)Enter this data into your calculator.
What is the slope?______
What is the y-intercept? ______
What is the correlation coefficient? ______
What is the best fit line? ______
9.)Use your line of best fit to determine how many minutes you will use when the batter charge percentage is at 25% .
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10.)Use your line of best fit to determine how much battery life you have after using your phone for 75 minutes.
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Use your calculator to make a scatter plot of the given data. Then answer the following questions.
Judy is a waitress at Applebee’s. She works several days in a two week period. The table shows the number of hours she works and the amount she earns in tips each day.
Hours / 4 / 5 / 4 / 7 / 6 / 5Tips / $27 / $30 / $23 / $64 / $49 / $55
What is the slope? ______
What is the y-intercept?______
What is the correlation coefficient?______
What is the best fit line?______
11. Using your best fit line find the amount of tips if you worked 10 hours. Show your work below.
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12. Using your best fit line find when you will make about 300 dollars in tips. Show your work below.
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