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B. Heard
  (These may not be copied, reproduced, or posted
     in an online classroom without my permission.
Students may download one copy for personal use.)
 Data     Collection
    Understand and distinguish between
        Sampling
        Census
        Experiments
        Simulations
        Etc.
 Descriptive   & Inferential Statistics
    Know the difference
    Descriptive - This is a set of methods to describe
     data that we have collected.
    Inferential - This is a set of methods used to
     make a generalization, estimate, prediction or
     decision.
 Knowthe difference between Qualitative and
 Quantitative Data
 Types   of Sampling
    Random
    Stratified
    Cluster
    Systematic
    Convenience
 Populations   and Samples
    Parameters and Statistics
 Standard   Deviation and Variance
    How to calculate and mathematical relationship.
    Variance is the Standard Deviation squared.
    Standard Deviation is the square root of the
     Variance.
    For example if you are given the standard
     deviation is “3” and asked what the variance
     is, you would note it as “9” because 3^2 is 9.
    If you were given the variance as 4.7 and asked
     for the standard deviation, you would note it as
     “2.17” because √4.7 = 2.17
 Be able to get a regression equation.
 Example
    Data (4, 30), (4,35), (5,36), (6,42), (8,48)
 Be able to get a regression equation.
 Example
    Data (4, 30), (4,35), (5,36), (6,42), (8,48)
 Be able to get a regression equation.
 Example
    Data (4, 30), (4,35), (5,36), (6,42), (8,48)
 Be able to get a regression equation.
 Example
    Data (4, 30), (4,35), (5,36), (6,42), (8,48)




                                           This would be written
                                           as y = 3.982x + 16.70
 Use   a multiple regression equation.
 • “Plug and Chug” (Plug in the values and chug out
   the answer)
 • Example
 y = -6.5 +12a + 5.1b where “a” is a vocabulary
   score and “b” is a skills test score. y predicts
   the person’s score on a job performance test.
 Predict a job test score for a person who made a
   50 as a vocabulary score and got a 7 as a skills
   test .
 y = -6.5 +12(50) + 5.1 (7)
 y = 629.2
 Correlation   Coefficients, also noted as “r”
 •   Range from -1 to +1
 •   .75 to 1 is strong
 •   .5 to .75 is moderate
 •   .25 to .5 is weak
 •   0 to .25 is almost none, I would probably note it
     is as “NO CORRELATION”
 •   + would be positive correlation, - would be
     negative correlation
 •   For example, -0.58 would be moderate negative
     correlation
From Page 487 in our text
 Be     able to create a stem and leaf plot
    Use Minitab!


 Determine       descriptive statistics.
 •   Mean, Median, Mode, Range, Variance, Standard
     Deviation
        Use Minitab!
 Identify Class Width
 Identify Midpoint of certain classes
 Identify class boundaries
 Give the relative frequency
 Fishing Tournament Data below is an example

                Number of Fish   Frequency
                     0-7              9
                    8-15             15
                   16-23             12
                   24-31              3
 Class   Width is 8


                               Number of Fish   Frequency
                                    0-7              9
                                   8-15             15
                                  16-23             12
                                  24-31              3

  8-0 = 8, or you could have
  said 15 – 7 = 8, or count
  on your fingers,
  0,1,2,3,4,5,6,7
  (There are eight numbers,
  don’t let it fool you)
 Midpoint       of second class is 11.5


                                 Number of Fish   Frequency
                                     0-7               9
8+15 = 23
divided by 2                         8-15             15
gives you 11.5                      16-23             12
                                    24-31              3
   What are the class boundaries of the third class?

15.5 and 23.5

                       Number of Fish   Frequency
                            0-7              9
                           8-15             15
 Subtract .5 from         16-23             12
 the lower to get         24-31              3
 15.5 and add .5
 to the upper to
 get 23.5
 Give   the relative frequency of all classes

              Number of Fish   Frequency Relative Frequency
                   0-7              9            9/39
                  8-15             15           15/39
                 16-23             12           12/39
                 24-31              3            3/39
                               Total of 39



Total your Frequency column, the total is your
  denominator for your fractional relative frequencies.
  You could also have noted these in decimal form.
 Come   see me at the “Statcave”
 www.facebook.com/statcave
 You DO NOT have to be a Facebook person to
  see these.
 If you are, become a fan.
 IT IS NOT REQUIRED TO BE ON FACEBOOK.
  IT’S SOMETHING I DO FOR FUN.
 I post charts there because it is easy for me
  to do.

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Math221 week3

  • 1. B. Heard (These may not be copied, reproduced, or posted in an online classroom without my permission. Students may download one copy for personal use.)
  • 2.  Data Collection  Understand and distinguish between  Sampling  Census  Experiments  Simulations  Etc.
  • 3.  Descriptive & Inferential Statistics  Know the difference  Descriptive - This is a set of methods to describe data that we have collected.  Inferential - This is a set of methods used to make a generalization, estimate, prediction or decision.
  • 4.  Knowthe difference between Qualitative and Quantitative Data
  • 5.  Types of Sampling  Random  Stratified  Cluster  Systematic  Convenience
  • 6.  Populations and Samples  Parameters and Statistics
  • 7.  Standard Deviation and Variance  How to calculate and mathematical relationship.  Variance is the Standard Deviation squared.  Standard Deviation is the square root of the Variance.  For example if you are given the standard deviation is “3” and asked what the variance is, you would note it as “9” because 3^2 is 9.  If you were given the variance as 4.7 and asked for the standard deviation, you would note it as “2.17” because √4.7 = 2.17
  • 8.  Be able to get a regression equation.  Example  Data (4, 30), (4,35), (5,36), (6,42), (8,48)
  • 9.  Be able to get a regression equation.  Example  Data (4, 30), (4,35), (5,36), (6,42), (8,48)
  • 10.  Be able to get a regression equation.  Example  Data (4, 30), (4,35), (5,36), (6,42), (8,48)
  • 11.  Be able to get a regression equation.  Example  Data (4, 30), (4,35), (5,36), (6,42), (8,48) This would be written as y = 3.982x + 16.70
  • 12.  Use a multiple regression equation. • “Plug and Chug” (Plug in the values and chug out the answer) • Example y = -6.5 +12a + 5.1b where “a” is a vocabulary score and “b” is a skills test score. y predicts the person’s score on a job performance test. Predict a job test score for a person who made a 50 as a vocabulary score and got a 7 as a skills test . y = -6.5 +12(50) + 5.1 (7) y = 629.2
  • 13.  Correlation Coefficients, also noted as “r” • Range from -1 to +1 • .75 to 1 is strong • .5 to .75 is moderate • .25 to .5 is weak • 0 to .25 is almost none, I would probably note it is as “NO CORRELATION” • + would be positive correlation, - would be negative correlation • For example, -0.58 would be moderate negative correlation
  • 14. From Page 487 in our text
  • 15.  Be able to create a stem and leaf plot  Use Minitab!  Determine descriptive statistics. • Mean, Median, Mode, Range, Variance, Standard Deviation  Use Minitab!
  • 16.  Identify Class Width  Identify Midpoint of certain classes  Identify class boundaries  Give the relative frequency  Fishing Tournament Data below is an example Number of Fish Frequency 0-7 9 8-15 15 16-23 12 24-31 3
  • 17.  Class Width is 8 Number of Fish Frequency 0-7 9 8-15 15 16-23 12 24-31 3 8-0 = 8, or you could have said 15 – 7 = 8, or count on your fingers, 0,1,2,3,4,5,6,7 (There are eight numbers, don’t let it fool you)
  • 18.  Midpoint of second class is 11.5 Number of Fish Frequency 0-7 9 8+15 = 23 divided by 2 8-15 15 gives you 11.5 16-23 12 24-31 3
  • 19. What are the class boundaries of the third class? 15.5 and 23.5 Number of Fish Frequency 0-7 9 8-15 15 Subtract .5 from 16-23 12 the lower to get 24-31 3 15.5 and add .5 to the upper to get 23.5
  • 20.  Give the relative frequency of all classes Number of Fish Frequency Relative Frequency 0-7 9 9/39 8-15 15 15/39 16-23 12 12/39 24-31 3 3/39 Total of 39 Total your Frequency column, the total is your denominator for your fractional relative frequencies. You could also have noted these in decimal form.
  • 21.  Come see me at the “Statcave”  www.facebook.com/statcave  You DO NOT have to be a Facebook person to see these.  If you are, become a fan.  IT IS NOT REQUIRED TO BE ON FACEBOOK. IT’S SOMETHING I DO FOR FUN.  I post charts there because it is easy for me to do.