Correlation and Linear Regression notes
15 notes by 13 users
This page gathers over 10 user-made notes on Correlation and Linear Regression, from associations between variables to prediction and Spearman’s rank. They are mainly at university level, for university students and professional candidates reviewing these topics and teachers looking for ready-made material, with a few notes for school students. Pick a note to begin.
Notes
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Regression Analysis Regression Analysis Regression analysis is a statistical procedure for analyzing associative relationships between a metric dependent variable and one or more independent variables (Galton, 1885; Johnson and Wichern, ...
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Stats Year 2 Chapter 1 Regression What is regression? Regression is the statistical measure used to determine the strength of relationship between the x and y variables. Depending on the graph you will need to use linear regression or expon...
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Variables and associations Variable and association types Variable typesContinuousCategoricalAssociation typesInvolves minimally two variablesContinuous - Continuous: Pearson's correlation coefficientCategorical - Categorical: Contingency table...
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Predictions Prediction, IV & DV PredictionRelationship between an independent variable and a dependent variable.Asymmetric where placement of variables matter.Regression model.Recall: Association is symmetric where placement of v...
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Spearmans rank Method 1 of 3: By Hand 1 Draw your data table. This will organize the information you need to calculate Spearman's Rank Correlation Coefficient. You will need: 6 Columns, with headers as shown below. As many rows as y...
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Spearmans rank Method 1 of 3: By Hand 1 Draw your data table. This will organize the information you need to calculate Spearman's Rank Correlation Coefficient. You will need: 6 Columns, with headers as shown below. As many rows as y...
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Correlation and Causation What is correlation ? Test of relationship between 2 variables ; change in one variable may or may not cause a change in other variableWhat is causation?Implies that if the value of one variable is changed, the other ...
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Complex Correlations Correlations A correlation looks for a significant relationship between two variables. E.g. does memory increase change with increasing age? Values range from -1 to +1. Hypothesis: Positive or negative r...
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Week 7: Statistical Analysis Descriptive analysis technique: - ensures data is correct -validity and reliability Validity: are we measuring what we are trying to measure? data collection - was the procedures followed or biases present? ext...
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Standard Error (SEM) Perform data analysis following the data Need to know: is there a statistically significant difference? Is data truly different because of the independent variable, or are they diferent simply because of random c...
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Unit 8 Overview Readings Topic 27 in the Workshop of Statistics Topic 15 in Barron’s AP Statistics Homework Workshop of Statistics: 4, 5, 6, 8, 9, 12, 15 Terms linear regression plot and interpret numerical summary mathematical model...
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OLS
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Unit 5 Project: It's Cold Outside! The map above was created at the National Oceanic and Atmospheric Administration (NOAA) website. It shows the relationship of latitudes and temperature trends. Task 1: You will collect data, plot the points and calcul...
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Untitled Simple RegressionTakes the info from correlation and tells us how one increase in X will lead to a change in Y Sums of Squares (SS): Shows amount of error Regression: Compares line of best fit to mean Residual: Compar...
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Week 6: Correlation SPURIOS CORRELATION: 2 things have a strong correlation with no immediate link such as number of people drowning and number of films nicholas cage appears in. Nominal: separate categories eg. male and fem...
More Correlation and Linear Regression resources
About correlation and linear regression notes
GoConqr OriginalWhat the correlation and linear regression notes cover
These notes approach the unit from several angles. Complex Correlations introduces relationships between variables, while Correlation and Causation distinguishes a relationship from a cause. Variables and associations covers variable types and ways to describe associations. Other notes address prediction, regression and Spearman’s rank.
Using the notes to revise
Start with Complex Correlations if you want an introduction to relationships between variables. For a closer look at prediction, read Predictions alongside Regression Analysis. The notes on Spearman’s rank include a method for organising a calculation by hand.
As you read, write down the terms or steps you want to revisit. Compare notes on related ideas to see how different users explain them. If you want a visual overview, switch to a mind map on the unit page; use a quiz there when you want to practise questions. Choose a topic and explore the notes that cover it.
Frequently asked questions
Which note is a useful starting point?
Complex Correlations is a useful place to begin with relationships between variables. It introduces correlation and the range of its values. If you are focusing on prediction instead, Predictions discusses the roles of independent and dependent variables and introduces a regression model.
Do the notes include Spearman’s rank?
Yes. The page includes notes on Spearman’s rank with a method for calculating the coefficient by hand. They describe setting up a data table to organise the calculation. You can also find notes on other aspects of association, including variable types and correlation.
Are these notes free to use?
Yes. Every resource listed here is free to open and study without an account. The notes were made by GoConqr users, so their approaches can differ. A free account also lets you save quiz scores and make your own quizzes, mind maps, flashcards and notes.
Which levels do these notes suit?
Most of the notes are at university level, with a smaller selection for school students. University students and professional candidates can use them to review topics such as association and prediction. Unit 8 Overview also mentions AP Statistics readings and terms.