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More On Modeling

More On Modeling. Use quartiles to find an equation to fit a set of data Develop a strategy for agreeing on one equation for a set of data Review five-number summaries and box plots.

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More On Modeling

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  1. More On Modeling Use quartiles to find an equation to fit a set of data Develop a strategy for agreeing on one equation for a set of data Review five-number summaries and box plots

  2. In this lesson you will learn a technique for coming up with a line of fit for a set of data so it will agree with others that look at the same data.

  3. Bucket Brigade Page 253 Materials Needed a stopwatch a bucket graph paper- Q-Points Template

  4. Setting up the Bucket Brigade • Complete steps 1-3 • Select one member as a timer. • Everyone else should line up in a single file line • Spread out so that there is an arm’s length between two people. • Choose a certain number to be in line. Record the number of people in the line. • Starting at the one end of the line, pass a bucket as quickly as you can to the other end. Record the total passing time from picking up the bucket to setting it down at the very end. • Change the number of people in line. Continue the bucket brigade until you have 10 data points in the form (number of people, passing time in seconds)

  5. Complete steps 4-12 with your group members. Be prepared to discuss your analysis of the data. • Complete step 13 with the graphing calculator. • Explore a Dynamic Algebra Exploration at www.keymath.com/DA

  6. The table lists the concentration of dissolved oxygen in parts per million at various temperatures in degrees Celsius from a sample of lake water. • Find a line of fit based on Q-Points for the data.

  7. The five number summary for temperature. • Minimum • Maximum • Median • Quartile 1 • Quartile 3

  8. To find the media for the DO we will need to place them in order first. • Minimum • Maximum • Median • Quartile 1 • Quartile 3

  9. Using the two points (6,15) and (13,11), the slope is What is the meaning of this slope?

  10. Using the slope of -0.57 and either point (6,15) or (13,11)we can write an equation for the line. y=15-0.57(x-6) or y=11-0.57(x-13)

  11. To find the temperature when the concentration of dissolved oxygen is 4 ppm, we can replace y is 4 in either equation and solve for x. 4=15-0.57(x-6)

  12. 4=15-0.57(x-6) -11 = -0.57(x-6) 19.3 = x-6 25.3 ≈ x This point is located on the line. At about 25oC, the water will have about 4 ppm dissolved oxygen.

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