BOOK
Edexcel AS and A level Further Mathematics Further Statistics 2 Textbook
Greg Attwood | Ian Bettison | Alan Clegg | Gill Dyer | Jane Dyer
(2018)
Additional Information
Book Details
Abstract
Edexcel AS and A level Further Mathematics Further Statistics 2 Textbook
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Front Cover | Front Cover | ||
| Contents | iii | ||
| Overarching themes | iv | ||
| Extra online content | vi | ||
| Chapter 1: Linear regression | 1 | ||
| 1.1: Least squares linear regression | 2 | ||
| 1.2: Residuals | 10 | ||
| Mixed exercise: 1 | 16 | ||
| Chapter 2: Correlation | 21 | ||
| 2.1: The product moment correlation coefficient | 22 | ||
| 2.2: Spearman’s rank correlation coefficient | 26 | ||
| 2.3: Hypothesis testing for zero correlation | 33 | ||
| Mixed exercise: 2 | 38 | ||
| Chapter 3: Continuous distributions | 44 | ||
| 3.1: Continuous random variables | 45 | ||
| 3.2: The cumulative distribution function | 51 | ||
| 3.3: Mean and variance of a continuous distribution | 56 | ||
| 3.4: Mode, median, percentiles and skewness | 63 | ||
| 3.5: The continuous uniform distribution | 71 | ||
| 3.6: Modelling with the continuous uniform distribution | 79 | ||
| Mixed exercise: 3 | 82 | ||
| Chapter 4: Combinations ofrandom variables | 92 | ||
| 4.1: Combinations of random variables | 93 | ||
| Review exercise: 1 | 99 | ||
| Chapter 5: Estimation, confidence intervals and tests usinga normal distribution | 109 | ||
| 5.1: Estimators, bias and standard error | 110 | ||
| 5.2: Confidence intervals | 120 | ||
| 5.3: Hypothesis testing for the difference between means | 127 | ||
| 5.4: Use of large sample results for an unknown population | 132 | ||
| Mixed exercise: 5 | 135 | ||
| Chapter 6: Further hypothesis tests | 141 | ||
| 6.1: Variance of a normal distribution | 142 | ||
| 6.2: Hypothesis testing for the variance of a normal distribution | 146 | ||
| 6.3: The F-distribution | 149 | ||
| 6.4: The F-test | 155 | ||
| Mixed exercise: 6 | 159 | ||
| Chapter 7: Confidence intervals and tests using the t-distribution | 163 | ||
| 7.1: Mean of a normal distribution with unknown variance | 164 | ||
| 7.2: Hypothesis test for the mean of a normal distribution with unknown variance | 170 | ||
| 7.3: The paired t-test | 174 | ||
| 7.4: Difference between means of two independent normal distributions | 180 | ||
| 7.5: Hypothesis test for the difference between means | 185 | ||
| Mixed exercise: 7 | 189 | ||
| Review exercise: 2 | 196 | ||
| Exam-style practice paper (AS level) | 204 | ||
| Exam-style practice paper (A level) | 206 | ||
| Appendix | 209 | ||
| Binomial cumulative distribution function | 209 | ||
| Percentage points of the normal distribution | 214 | ||
| Percentage points of the χ2 distribution | 215 | ||
| Critical values for correlation coefficients | 216 | ||
| Percentage points of Student’s t-distribution | 217 | ||
| Percentage points of the F-distribution | 218 | ||
| Poisson cumulative distribution function | 219 | ||
| Formulae | 220 | ||
| Answers | 225 | ||
| Index | 256 | ||
| Back Cover | Back Cover |