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Two Variables: Probability & Statistics: Uncharted

Courses Probability & StatisticsTwo Variables

Two Variables

Read paired data, measure association, fit cautious predictions, and refuse to turn correlation into causation.

Probability & Statistics
Unit 11 of 12
20 lessons
154 min
420 XP

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Lessons

20 total

1Plot the PairsPlace paired observations on a scatterplot.InteractiveConcept8 min20 XPOpen
2Read the CloudDescribe scatterplot direction, strength, and unusual points.InteractiveConcept7 min20 XPOpen
3Direction and StrengthMatch scatterplot descriptions with their patterns.InteractiveConcept7 min20 XPOpen
4The Correlation NumberInterpret correlation values from minus one to one.InteractiveConcept7 min20 XPOpen
5Guess the rEstimate correlation from direction and tightness.InteractivePractice9 min20 XPOpen
6r Is Blind to CurvesRecognize strong nonlinear patterns that correlation misses.InteractiveConcept7 min20 XPOpen
7One Point Moves rSee how one influential point can reshape a correlation.InteractiveConcept8 min20 XPOpen
8The Line Through the CloudPosition a fitted line through the center of a scatterplot.InteractiveConcept8 min20 XPOpen
9Slope Speaks UnitsCompute and interpret regression slope in context.InteractiveConcept8 min20 XPOpen
10Predict Inside the CloudUse a regression line for interpolation and flag extrapolation.InteractiveConcept8 min20 XPOpen
11Residuals Tell TalesUse residual patterns to judge a linear model.InteractiveConcept7 min20 XPOpen
12Regression WorkoutCompute slopes, predictions, and residuals from fitted lines.InteractivePractice9 min20 XPOpen
13Ice Cream and DrowningsIdentify a confounder behind a spurious association.InteractiveConcept7 min20 XPOpen
14Confounder HuntName plausible lurking variables behind observed correlations.InteractivePractice9 min20 XPOpen
15Causation Needs a PushSeparate causal evidence from observational association.InteractiveConcept7 min20 XPOpen
16Simpson's ReversalRecognize when an aggregate trend reverses inside groups.InteractiveConcept7 min20 XPOpen
17Regression to the MeanExplain why extreme measurements are often followed by less extreme ones.InteractiveConcept7 min20 XPOpen
18Two-Variable WorkoutCombine scatter reading, slope, prediction, and confounder checks.InteractivePractice9 min20 XPOpen
19Headline AutopsyRewrite a correlational headline without causal overreach.InteractiveConcept7 min20 XPOpen
20Relationships Mastery CheckInterpret a fitted relationship, prediction, and residual in one case.InteractiveMastery check8 min40 XPOpen

Testing Claims Decide with Data