Sigma Mathematics links

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Chapter 3 - Distribution of the Total and the Sample Mean

Page 63    Sampling distributions


Chapter 4 - Confidence intervals for means

Page 71    Confidence interval simulation


Chapter 5 - Confidence intervals for proportions

Page 87    Confidence intervals for proportions
Page 93    Margins of Error - NZ Election 2005
               
A case study by Matt Regan (Department of Statistics, University of Auckland)


Chapter 6 - Basic probability


Page 103  Breaking the stick simulation
Page 106  Bertrand's paradox
Page 115  With and without replacement
Page 119  The birthday problem (1)
Page 119  The birthday problem (2)
Page 119  The birthday problem (3
)


Chapter 8 - Arrangements and selections

Page 147   Multiplication principle (cute) 
Page 149   Factorials (1)
Page 149   Factorials (2)
Page 156   Permutations and combinations (1)
Page 156   Permutations and combinations (2)
Page 163   Poker hand probabilities


Chapter 9 - Conditional probability


Page 167  Green and red balls
Page 168  Conditional probability (1)
Page 168  Conditional probability (2)


Chapter 10 - Simultaneous equations

Page 187    Simultaneous equation solver
Page 190    Representations of the line of intersection of two planes


Chapter 11 - Numerical solution of equations

Page 205    Drawing more than one graph
Page 218    Newton-Raphson method

 

Chapter 12 - Linear Programming

Page 230    Drawing linear inequalities (1)
Page 230    Drawing linear inequalities (2)
Page 234    Exploring linear programming 
Page 234    Linear programming applet (1) 
Page 234    Linear programming applet (2)


Chapter 13 - Scatter diagrams and the correlation coefficient

Page 254  Guessing values of the correlation coefficient (1)
Page 255  Guessing values of the correlation coefficient (2)
Page 257  Evaluation of r - adding points



Chapter 14 - Regression

Page 281  Building a scatterplot
Page 281  Least squares applet
Page 281  Least squares and residuals
Page 281  Regression by eye
Page 286  Regression applet
Page 291  Errors in R^2 calculations (ExcelTM)
                     By Matt Regan (Department of Statistics, University of Auckland)


Chapter 15 - Binomial distribution

Page 314   Binomial coin-tossing
Page 314   The ball-drop experiment
Page 315   Binomial probability calculator


Chapter 16 - Poisson distribution

Page 334   Poisson probability calculator
Page 342   Graphing the Poisson distribution
Page 344   Earthquake data


Chapter 17 - Normal distribution

Page 354    Normal probability calculator


Chapter 19 - Power curves, logarithms and exponential curves

Page 403    The Reserve Bank CPI Calculator