SCI1020 Introduction to Statistical Reasoning
Mathematical Modelling Notes
Contents
Introduction . 2
1. The Linear Model . 2
2 The Exponential Model. 4
2.1 Nature of Exponential Change . 4
2.2 Discrete versus continuous form of exponential function. 6
2.

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Individuals or UNITS
the objects described by a set of data
may be people, animals, or things
Part 1 EXPLORING DATA
Topic: Describing Distributions Graphically
Variable
any characteristic of an individual
can take different values for dif

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For every change in x of 1 unit there is a
constant incremental change in y:
y = a + bx
or
y = mx + c
Part 1 EXPLORING DATA
Topic: Mathematical Modelling
How to describe relationships in quantitative data:
linear and curved
Ref: Mathematical

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ASSOCIATION: how one variable changes with the other
- Positive or negative or none?
Part 1 EXPLORING DATA
Topic: Scatterplots and Correlation
SCATTERPLOT: illustration or graph of the relationship
- describing the relationship between
two