Sophie Hill created a great game that shows students how to "eyeball" regression lines (or just lines) by guessing the y-intercept and the slope.
At the beginning of the game, you get a scatter plot. Then, you need to guess the y-intercept and the slope.
Once you make a guess, it will show you the actual line of best fit...and your line, along with residuals and mean squared error. So, this doesn't just allow for eyeballing the regression line but also how to test the fit of a line.
P.S.: If you liked this, you'd love the Guess the Correlation game.
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