University Introductory Statistics Simple Linear Regression and Correlation — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 4 definitions and 5 theorems, 7 worked examples, 2 diagrams, in 16 printable pages. This page lists what the notes cover. The notes themselves come with the University Introductory Statistics bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Simple Linear Regression and Correlation — what the notes cover
8 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What you need
Also in this section: 1 note on method and common errors.
Scatterplots and the correlation coefficient
- Definition — The correlation coefficient
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
The least-squares regression line
- Definition — The least-squares line
- Theorem — The computing forms of the three sums
Also in this section: 1 worked example, 1 note on method and common errors.
Reading the slope, the intercept and a prediction
- Definition — What the two coefficients say
Also in this section: 1 worked example, 1 note on method and common errors.
The coefficient of determination
- Theorem — Splitting the total variation
Also in this section: 1 worked example, 1 note on method and common errors.
Residuals and the conditions for regression
- Definition — Residuals and the residual plot
- Theorem — The four conditions inference needs
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Inference for the slope
- Theorem — The procedures for a slope
Also in this section: 1 worked example, 1 note on method and common errors.
Confidence and prediction intervals for a response
- Theorem — Two intervals at one value of
Also in this section: 1 worked example, 1 note on method and common errors.
Where the notes are
The notes are one of the documents in the University Introductory Statistics Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Simple Linear Regression and Correlation practice worksheet is free and stays free.
Every University Introductory Statistics topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 University Introductory Statistics units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet.