Iowa Math and Science Academy Statistics class
Summer 2009


Updated at 12:30 p.m. - new information - Extra Credit Opportunity - turn in Friday at the High School Musical play or turn in to Mary or Angela before you leave on Saturday. You can also talk to me by email or at the play on Friday night.

Questions: jacobson@cs.uni.edu is my email address.


Study Guide for Final Exam is ready.

The Basic Practice of Statistics: Textbook website for David S. Moore's book.

Correlation and Scatterplots - review of the Tuesday class and chapter four formula and Java applet. Regression.


Solution to HW problem 3.44 page 87 of textbook.
 
 3.44  Heights of men and women.

       N(64,   2.7) is the height of women ages 20-29.
       N(69.3, 2.8) is the height of   men ages 20-29.

   What percent of young women are taller than the mean height of young men?

   In other words, what percent of young women are taller than 69.3 inches?

   Young women distribution is N(64, 2.7) so we need to standardiZe 69.3.

          69.3 - 64          5.3
    z = -------------  =  --------- = 1.96 (after rounding it)
             2.7             2.7

                                       69.3 - 64 = 5.3

                                       5.3 / 2.7 = 1.96296296296296296296

   Look up 1.96 in table A on page 685 of the textbook.
   .9750 is the table entry for z = 1.96.

   Table entry for z = 1.96 is the area under the standard Normal
   curve to the LEFT of z = 1.96, which is the standardiZed 69.3 inches
   height, standardiZed to N(64, 2.7).

   We need the area to the RIGHT of there, so we subtract the value from 
   1.0.   

   1 - .9750 = 0.0250 and that means that 2.5% or 1 woman out of 40
                                   would be taller than 69.3 inches.

   It might be just as easy to look up -1.96 in the table and find 0.0250
   is the area to the left of that, which is 0.0250.

   You can do this if you are comfortable with the idea of SYMMETRY.
      The area to the left of -1.96 will ALWAYS be the same as 
      the area to the right of 1.96 as we discovered in class last week
                                                in a WRT 110 SI session.


ITTC Air Conditioning is fixed and cooling again!!!
Class will be in ITTC 322 classroom again (for final exam).

Homework: Assignment due on Tuesday, July 14th involves scatterplots and correlation and regression applets, along with a couple chapter 3 problems for more practice with Z-scores and Table A Standard Normal Probabilities.


You Tube video: Stat Rap - Iowa State Psychology statistics class.
What up kid?
You say stat is rough, hurtin your head.
  
When you got stuck, you should a asked me instead.      jacobson@cs.uni.edu
   
...
Quit flippin.
Talkin about stat is so tough.
Make sure you listen to the lesson while we're telling you stuff.
...

...
but if you wanna get a correct solution 
first you must assume a normal distribution.             N(0, 1)
equal variance is a needed feature...

...                                                (X  -  mu)     (X - mean)
and we told you to remember this forever     z = -------------- = ----------
observed minus mean over standard error              sigma         standard
                                                                      dev
...
sometimes two variables in the ranges
one can predict how the other changes
 
if you got this distinct impression 
you're in need of some linear regression
 
Beta nought is where you cross the y                B       B
beta one is the slope of the line                    0       1
                                              y  =  a   +   mx

                                          intercept = a = beta nought = B0
                                              slope = m = beta one = B1

Which model is best, 
which is robust
which model leaves the others in the dust

Transcribed lyrics: ISU Stat Rap are about 90% complete. DV = Dependent Variable. IV = Independent Variable.

Study Guide for Final Exam is ready.

The Basic Practice of Statistics: Textbook website for David S. Moore's book.


Homework: Assignment due on Tuesday, July 14th involves scatterplots and correlation and regression applets, along with a couple chapter 3 problems for more practice with Z-scores and Table A Standard Normal Probabilities.


HOMEWORK EXERCISES:

Page 87 and 88 - Chapter 3 Exercises

   ACT versus SAT test scores problems

      Exercise 3.32 
      Exercise 3.34
      Exercise 3.40
      Exercise 3.42

   These four exercises are due on Tuesday, July 7th


This applet might be utilized during the Monday, July 6th SI session. It goes with Chapter 3 of the textbook and is a good tool for helping you to learn about stadardized Z scores and normal curves.

Britney Spears and Carlos Santana HISTOGRAM HOMEWORK assignment.


Pages 59-60  Homework problem 2.34 from Chapter Two

Guinea Pig Survival Times

Due Tuesday, June 30th...


15 countries and most countries data sets for SPSS.

ChapterTwo handout POWER POINT slides, very readable.


Wednesday, July 1st Statistics SI session:
 
How do I get to the Mean and Median applet for our textbook?

    Click on the MIDDLE textbook image LINK, the

           Basic Practice of Statistics 4E for that page.
           -------------------------------

    You then will see link to
                              Statistical Applets

Wednesday, July 1st Statistics SI session:  Review for Quiz Two Study Guide.

  1.  Page 58 - Making Resistance Visible - Exercise 2.26

      Making Resistance Visible.  In the Mean and Median applet, place 
          three observations on the line by clicking below it: two close 
          together near the center of the line, and one somewhat to the
          right of these two.

      (a)  Pull the single rightmost observation to the right. ...

      (b)  Now drag the single rightmost point to the left as far as you 
           can.  ...

       (See your textbook, page 59 for the rest of (a) ... and (b) ...)

  2.  Page 59 Exercise 2.32
      Behavior of the median.  Place five observations on the line 
            in the Mean and Median applet by clicking below it.

      (a)  Add one ...
           ...
           Where is your new point?

      (b)  Use the applet to convince yourself that ...
           ...
           Explain why this must be true.

    http://www.whfreeman.com/bps/

   3.  Here is a set of 12 numbers.  How fast can you answer the following
       questions?  Can you do it without looking at your notes or your
       textbook?

     1   2   3   4   5   6   7   8   9   10  11  12
    --- --- --- --- --- --- --- --- --- --- --- ----
     12 100 150 180 200 220 250 300 330 350 400 1000

     is a data set with n = 12 which would be good practice for doing the
     5 number summary.  

        i.  Give the 5 number summary.  Show your work when needed so it
            can easily be seen what numbers you were using to get the 
            Median or Q1 or Q3, in case of arithmetic errors.

                             102 + 109
                 Example   ------------- = 105.5 = Q1
                                 2
       ii.  What is IQR?

      iii.  Are there any outliers in the data?

       iv.  What is the lower cutoff point or value for outliers, i.e.
            what is the value lowCutOff in the following?

                   lowCutOff <= non-outlier values <= highCutOff
 
        v.  What is the upper cutoff point or value for determining 
            outliers, i.e. what is the value highCutOff in the following?

       vi.  Draw the boxplot for your 5 number summary.

   4.  Go over the quiz one questions that you missed and make sure you
       understand why you missed the question.  Categorical and 
       Quantitative, Stem Plots, Histograms, etc.
 

Grade standing after 3 quizzes but BEFORE last homeworks and comprehensive FINAL EXAM.