Essential Further Mathematics Third Edition with Student CD-Rom
by Peter Jones , Michael Evans , Kay LipsonEdition: 3rd
Format: Multimedia
Pub. Date: 2005-12-14
Publisher(s): Cambridge University Press
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Summary
Essential Mathematics provides a single unified course of study which addresses all the key skills outcomes.
Table of Contents
| Acknowledgments | |
| Introduction Core | |
| Types of data and frequency tables | |
| Some data | |
| Variables | |
| Types of data - numerical and categorical | |
| Looking at distributions | |
| Grouping data | |
| Percentage frequencies | |
| Cumulative frequencies | |
| Chapter outcomes | |
| Picturing data - histograms, stem plots and barcharts | |
| The histogram | |
| What to look for in a histogram | |
| The stem-and-leaf plot | |
| From stem plot to histogram | |
| The barchart | |
| Chapter outcomes | |
| Summarising numerical data - the median, range, IQR and box plots | |
| Will less than the whole picture do? | |
| The median, range and interquartile range (IQR) | |
| The five-number summary and the box plot | |
| Box plots with outliers | |
| Relating a box plot to distribution shape | |
| Using box plots to compare distributions | |
| Chapter outcomes | |
| Summarising numerical data - the mean and the standard deviation | |
| The mean and the standard deviation | |
| The relationship between the mean and the median | |
| Measuring the spread around the mean | |
| The variance | |
| The standard deviation | |
| Estimating the standard deviation from range | |
| Calculating the mean and standard deviation using a statistical calculator | |
| Giving meaning to the standard deviation | |
| Chapter outcomes | |
| Populations and samples | |
| Populations | |
| Samples | |
| Simple random sample (SRS) | |
| Other sampling methods | |
| Population parameters and sample statistics | |
| Chapter outcomes | |
| Displaying and describing relationships between numerical variables | |
| Displaying relationships - the scatterplot | |
| Characteristics of a relationship | |
| The correlation coefficient | |
| Some traps with Pearson's correlation coefficient r | |
| The coefficient of determination | |
| Dependent and independent variables | |
| Correlation and causality | |
| Chapter outcomes | |
| Displaying and describing relationships between categorical variables | |
| The two-way frequency table | |
| Reading a two-way frequency table | |
| Percentaging a two-way frequency table | |
| Using percentages to identify relationships | |
| Using a segmented barchart to identify relationships in tabulated data | |
| Dependent and independent variables in tabulated data | |
| Locating the dependent variable in a table | |
| Choosing the appropriate graphical display | |
| Investigating the relationship between a numerical and a categorical variable? | |
| Chapter outcomes | |
| Regression - fitting lines to data | |
| Introduction | |
| Least squares regression | |
| Performing a regression analysis | |
| A graphical approach to regression - the three median line | |
| Chapter outcomes | |
| Regression - residual plots and data transformation | |
| Testing the goodness of fit of a regression line | |
| What do we do when a residual plot shows evidence of non-linearity in our data? | |
| Putting all the parts together - regression analysis with data transformation | |
| Chapter outcomes | |
| Time series - finding the pattern | |
| Definition of time series | |
| Characteristics of a time series plot | |
| Interpreting a time series plot | |
| Smoothing | |
| Seasonal indices | |
| Fitting a trend line | |
| Forecasting | |
| Chapter outcomes | |
| Revision of the core - summary and multiple choice questions | |
| Chapter by chapter revision of the core | |
| Displaying, summarising and describing univariate data | |
| Displaying, summarising and describing bivariate data | |
| Regression | |
| Time series | |
| Number patterns and applications | |
| Ratio and proportion | |
| Introduction | |
| Expressing ratios in their simplest form | |
| Expressing ratios as fractions or percentages of the whole | |
| Dividing quantities in given ratios | |
| Ratio and proportion | |
| Applications of ratio and proportion | |
| Arithmetic and geometric sequences, | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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