Using Best-Fit Lines
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1 Using Best-Fit Lines 1. Each year, Mrs. Welch, a gym teacher at Bessie Coleman School, records the number of sit-ups each student can do. Nila used her data to make a graph that shows the number of sit-ups she could do each year. B. If you read the graph from left to right, do the points go uphill or downhill? C. What does the graph tell you about the number of sit-ups Nila can do? D. Do the points lie close to a straight line? If so, use a ruler to draw a best-fit line. E. If possible, predict the number of sit-ups Nila will be able to do when she is 12. Show any work on the graph. F. Does knowing Nila s age help you predict the number of sit-ups she can do? Number of Sit-Ups Nila s Sit-Ups Age in Years Predictions from Graphs SAB Grade 4 Unit 5 Lesson 1 143
2 Time in Minutes 2. Mrs. Welch also records each student s best times for running a mile. John graphed his best times. John s Times for Running a Mile Age in Years B. Do the points tend to go uphill or downhill? C. Do the points lie close to a straight line? If so, use a ruler to draw a best-fit line. D. If possible, predict how long it will take John to run a mile when he is 12. E. If possible, predict how long it will take John to run a mile when he is 18. F. Does knowing John s age help you predict his time for running the mile? Explain. 144 SAB Grade 4 Unit 5 Lesson 1 Predictions from Graphs
3 3. A fourth-grade class recorded the month each student was born and the number of letters in each student s name. Using the data, the class made the following graph. Number of Letters in Names vs. Birth Month 9 8 Number of Letters in Name Birth Month B. Do the points lie close to a straight line? If so, use a ruler to draw a best-fit line. C. Does knowing the month a student was born help you predict the number of letters in his or her name? Explain. D. If possible, predict the number of letters in a student s name if he or she was born in August (the eighth month). Predictions from Graphs SAB Grade 4 Unit 5 Lesson 1 145
4 4. A cookie company wants all the cookies from the factory to be the same. Here is a graph made by a cookie inspector. Mass vs. Number of Cookies B. Do the points lie close to a straight line? If so, use a ruler to draw a best-fit line. C. If possible, predict the mass of 3 cookies. Show any work on the graph. D. If possible, predict the mass of 5 cookies. Show any work on the graph. Mass in Grams Number of Cookies E. Did you use interpolation or extrapolation to answer Question 4C? F. List the ordered pairs that the cookie inspector graphed. G. Look at the ordered pairs. Do you see a pattern? Describe it. H. Use the pattern in the ordered pairs to predict the mass of 8 cookies. 146 SAB Grade 4 Unit 5 Lesson 1 Predictions from Graphs
5 5. Ana drew a best-fit line for Question 4. Her line went from corner to corner. Mass vs. Number of Cookies Mass in Grams Number of Cookies A. How many points does Ana s line go through? B. How many points are above her line? C. How many points are below her line? D. Ana predicted that 3 cookies would have a mass of 2 grams and 5 cookies would have a mass of 33 grams. Do you agree with her? What was Ana s mistake? E. What would you tell Ana about how to draw a best-fit line? Predictions from Graphs SAB Grade 4 Unit 5 Lesson 1 147
6 6. Doctors measure the head circumference of babies to track their growth. Average Head Circumference in cm Head Circumference of Babies Age in Months B. If the points lie close to a line, use a ruler to draw a best-fit line. C. If possible, predict the head circumference of a baby who is four months old. 148 SAB Grade 4 Unit 5 Lesson 1 Predictions from Graphs
7 7. Luis counted the number of chirps made in one minute by his pet cricket over several different nights. He recorded the temperature each time he counted. Here is his data. C Chirps per Minute Cricket Chirps T Temperature in Degrees F C Chirps per Minute Ordered Pairs (T, C) (, ) (55, 72) T Temperature in Degrees F A. Complete the table and list Luis s data as ordered pairs. B. Describe the graph. C. What happens to the number of chirps when the temperature goes up? D. If the points lie close to a line, draw a best-fit line. E. If possible, predict the number of chirps per minute when the temperature is 7 degrees. F. If possible, predict the number of chirps per minute when the temperature is 56 degrees. G. Did you use interpolation or extrapolation to answer Question 7E? Predictions from Graphs SAB Grade 4 Unit 5 Lesson 1 149
8 8. Look back at the graphs in Questions 1 7. Which graph gives the most accurate predictions? Explain your choice. Check-In: Question 9 9. The winning times for the Olympic women s -meter breaststroke swimming competition are shown in this graph. Time in Seconds Winning Times for the Women s Olympic Breaststroke Time in Years B. If the points lie close to a line, use a ruler to draw a best-fit line. C. If possible, predict the winning time in SAB Grade 4 Unit 5 Lesson 1 Predictions from Graphs
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