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**Chapter 10 Day 3 AP Statistics**

Re-Expression con’t Chapter 10 Day 3 AP Statistics

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**Concentration (Units/cc)**

Warm Up Time elapsed (hours) Concentration (Units/cc) 1 42 2 28 3 19 4 13 5 9 6 7 Penicillin Assimilation Straighten these data using re-expression Use your model to estimate the concentration of penicillin after 8 hours

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More Practice Problems!

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**Brakes Explain why the linear model is not appropriate.**

Speed (mph) Stopping Distances (ft) 20 64 62 59 30 114 118 105 40 153 171 165 50 231 203 238 60 317 321 276 Explain why the linear model is not appropriate. Re-express the data to straighten the scatterplot and give the re-expressed model. Estimate stopping distance for a car traveling 55mph.

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**Population (millions)**

Year Population (millions) 1950 2519 1955 2755 1960 3020 1965 3334 1970 3691 1975 4066 1980 4430 1985 4825 1990 5255 1995 5662 2000 6057 World Population Model (Scale the years) Use your model to predict population for 2005.

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What have we learned? Recognize when a well-chosen re-expression may help you improve and simplify your analysis Understand the value of re-expression to improve symmetry, to make scatter about the line more constant, and to make a plot more linear Recognize that when a pattern indicates that no re-expression can improve the structure of the data

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What have we learned? Know how to re-express you data and how to use the calculator Be able to reverse any common re-expressions to put a predicted value or residual back into the original units

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What have we learned? Be able to describe a summary or display of a re-expressed variable making clear how it was re-expressed and giving its re-expressed units. Be able to describe a regression model fit to re-expressed data in terms of the re-expressed variables

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Classwork Book Page 243 # 29

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Homework Page 241 # 24, 28, 30

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World Population. YearPopulation (millions) 1650470 1750629 18501128 1900 1950 1960 1970 1980 1990 2000.

World Population. YearPopulation (millions) 1650470 1750629 18501128 1900 1950 1960 1970 1980 1990 2000.

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