STM1001 Topic 8: Correlation and Simple Linear Regression
Introduction
1
Correlation
1.1
Test for significance: Correlation coefficient
1.2
Does correlation imply causation?
2
Simple Linear Regression
2.1
Defining a straight line
2.2
Line of best fit
2.3
Evaluating and interpreting the model
2.3.1
Testing for
\(H_0 : \beta_1 = 0\)
versus
\(H_1 : \beta_1 \neq 0\)
2.3.2
\(R^2\)
, the Coefficient of Determination
2.4
Checking assumptions
2.4.1
What to look for when checking the plots
2.5
Predictions
2.5.1
A cautionary tale: Extrapolation
References
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STM1001 Topic 8: Correlation and Simple Linear Regression
References
Gapminder.org. 2021.
“Free Data from World Bank via Gapminder.org, CC-BY License.”
2021.
https://www.gapminder.org/data/
.
Vigen, Tyler. 2015.
“Spurious Correlations.”
2015.
https://tylervigen.com/spurious-correlations
.