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GET THAT PROGRAM LAKERS, HOTDOG  Linear Transformations to Data Sets (changing units) X new = a + bx a: Adds the same # to all the values b: Multiplies.

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Presentation on theme: "GET THAT PROGRAM LAKERS, HOTDOG  Linear Transformations to Data Sets (changing units) X new = a + bx a: Adds the same # to all the values b: Multiplies."— Presentation transcript:

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2 GET THAT PROGRAM LAKERS, HOTDOG

3  Linear Transformations to Data Sets (changing units) X new = a + bx a: Adds the same # to all the values b: Multiplies all the values by the same # Let’s Look at How these Changes Can Effect our Data

4 Year 2000 1 Variable Stat Data Mean$4.14 s$4.76 Min$.3 Q1$1 Med$2.6 Q3$4.5 Max$17.1 Jerry Bus has decided to give every team member a $100000 loyalty bonus. NEW Year 2000 1 Variable Stat Data Mean$4.24 s$4.76 Min$.4 Q1$1.1 Med$2.7 Q3$4.6 Max$17.2 The front office has decided on a 15% salary increase for next season. NEW Year 2001 1 Variable Stat Data Mean$4.87 s$5.48 Min$.46 Q1$1.265 Med$3.105 Q3$5.29 Max$19.78

5  Linear Transformations Effect Center & Spread by the following rules: › Multiplying by B  Center changes by multiple of b  Spread changes by multiple of b › Adding A  Center changes by a  Spread does NOT change Linear Transformations do NOT change the SHAPE OF A DISTRIBUTION!!!

6 Year 2000 1 Variable Stat Data NEW Year 2000 1 Variable Stat Data NEW Year 2001 1 Variable Stat Data

7  Make a graphical display comparing each › Side by Side Plot, 2 Histograms  Describe Distributions Graphically › Center, Shape, Spread  Outliers  Display appropriate numerical summaries › Mean & Standard Deviation › Median & 5 Number Summary  Describe Distributions Numerically › Center, Shape, Spread  Outliers

8  Section 2 Work › 44-47, 49  Review Work › 61b,62-64,66,68,72,73  TEST NEXT CLASS


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