Thoughts on Teaching Week 11 tutorial
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Thoughts on Sect. 11.3
If you count the dots on the scatterplot, you won't find \(n = 38\) dots, because of overplotting. For example, there are two Corolla's from 2006 selling for $9500.
If you have time, you can ask students about this, and even ask for suggestions to improve this (such as jittering).
Note: since all the cars in the sample are second-hand, technically the results only generalise to second-hand cars, so that \(b_0\) really is the estimated price of a second-hand 2014 Corolla.Thoughts on Sect. 11.4
The point is that the same regression line can be associated with a high correlation, or a poor correlation.
Regression and correlation are not the same thing!
Regression and correlation are not the same thing!