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 transcript:

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 all the values by the same # Let’s Look at How these Changes Can Effect our Data

Year 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 $ loyalty bonus. NEW Year 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 Variable Stat Data Mean$4.87 s$5.48 Min$.46 Q1$1.265 Med$3.105 Q3$5.29 Max$19.78

 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!!!

Year Variable Stat Data NEW Year Variable Stat Data NEW Year Variable Stat Data

 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

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