Math ClubMath Club

Term 11 · Year 3

Term 11 — Inferential Statistics and Regression

Confidence intervals, hypothesis tests, linear regression.

10 lessons  ·  10 published ·  ~32h of study

(Year 3 — Integral, ODEs, Inference, Linear Algebra)

Classes (didactic grouping)

Each Class groups 2–5 Lessons by topic. Click on a Lesson to study the content.

Class A — Sampling and confidence interval

~6h · 2 lessons
  1. Lesson 101
    Sampling: types, biases, and sampling distribution
    Random sampling, bias, sample size
    published →
  2. Lesson 102
    Confidence interval for the mean
    x̄ ± z·σ/√n, interpretation
    published →

Class B — Hypothesis testing (z, t)

~6h · 2 lessons
  1. Lesson 103
    Hypothesis testing: structure and logic
    H₀, H₁, p-value, type I and II errors
    published →
  2. Lesson 104
    z-test and Student's t-test
    When to use z vs t, degrees of freedom
    published →

Class C — Simple and multiple linear regression, ANOVA

~9h · 3 lessons
  1. Lesson 105
    Simple linear regression
    y = β₀ + β₁x, least squares, R²
    published →
  2. Lesson 106
    Multiple regression
    y = β₀ + β₁x₁ + ... + βₖxₖ, applications
    published →
  3. Lesson 107
    One-way ANOVA
    Compare more than two means, F-statistic
    published →

Class D — Chi-squared, intro to Bayes + synthesis

~9h · 3 lessons
  1. Lesson 108
    Chi-squared test: goodness of fit and independence
    Independence test, goodness of fit
    published →
  2. Lesson 109
    Introductory Bayesian Statistics
    Prior, likelihood, posterior, Bayesian inference
    published →
  3. Lesson 110
    Consolidation Term 11: Statistical Inference
    Synthesis: 60 mixed inference problems
    published →

Test yourself this term

There are 10 exam versions covering this term, each with answer key + step-by-step solutions. Take one after each group of lessons.

Open exams for Term 11 →