IBDP Mathematics Analysis & Approaches SL Chapter 7 Notes
Statistics for bivariate data
STUDY NOTES FOR MATHEMATICS – CHAPTER 7 – Statistics for bivariate data
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All DP mathematics courses serve to accommodate the diverse range of needs, interests and abilities of students, and to fulfill the requirements of various university and career aspirations. The aims of these courses are to enable students to: develop mathematical knowledge, concepts, principles, logical, critical and creative thinking, employ and refine their powers of abstraction and generalization. Students are also encouraged to appreciate the international dimensions of mathematics and the multiplicity of its cultural and historical perspectives.
In this chapter we consider bivariate data, which means data has two variables recorded for each individual. In most real-world situations, there will not be an exact relationship between the two variables. Our goal is to find which model best fits the data and measure how strong the relationship between the variables is. We delve into topics such as correlation when using scatter plots by drawing the line of best fit to classify the strength between variables. However, as this method is subjective, we use Pearson’s product moment correlation coefficient r as it is a more precise measure of strength. In order to find the equation of the line which best fits the data, we use a method known as linear regression. This method minimises the distance between the line and the data points, known as a residual. Lastly, we learn about the Spearman’s rank correlation coefficient of a bivariate data set, the Pearson product-moment correlation of coefficient of the variables’ ranks.
- Chapter 1 Sequences and Series
- Chapter 2 Introducing Functions
- Chapter 3 Linear and quadratic functions
- Chapter 4 Rational Functions
- Chapter 5 Differentiation
- Chapter 6 Statistics for univariable data
- Chapter 7 Statistics for bivariate data
- Chapter 8 Probability
- Chapter 9 Exponentials and Logarithms
- Chapter 10 Integration
- Chapter 11 Geometry and Trigonometry
- Chapter 12 Trigonometric functions
- Chapter 13 More calculus
- Chapter 14 Probability distributions