Correlation/Regression

  • Music and Lyrics © 2016 Monty Harper

    OPENING CHORUS:
    Correlation does not imply causation
    Correlation does not imply causation

     

    People who own goggles are often getting fit
    We seem to see that happen quite a lot
    May we conclude that getting fit is caused by owning goggles?
    Clearly, we may not!
    If we take into account how many people swim,
    It's a factor that confounds the implication,
    For people who swim own goggles and get fit
    And that that explains our wacky correlation!

     

    [REPEAT OPENING CHORUS] 

    I've found that when I'm happy, I often seem to giggle
    Knowing that may really serve me well.
    Or maybe when I giggle, it tends to make me happy?
    How am I supposed to tell?
    The arrow of causation may point left or right or both,
    So here's what I suspect to be the scoop:
    I giggle and I feel happy so I giggle and feel more happy
    So I giggle because I'm in a causal loop!

    [REPEAT OPENING CHORUS] 

    The yearly rate of poverty and the length of my own hair
    Correlate with an r of .99
    I discovered this by accident and I don't know what to do
    With this amazing hair of mine!
    Is there some hidden mystic power built into my hair?
    My professor says it's nothing of the kind.
    It's coincidence my hair length predicts the yearly rate of poverty,
    The universe is just messing with my mind.

    [REPEAT OPENING CHORUS] 

    Post hoc ergo propter hoc is just a fallacy
    You expect a certain melody here, but - that's up to me 

    [REPEAT OPENING CHORUS 2X] 

  • Last year, my goofy cat picture went viral - but now it barely gets more hits than my other posts.  Must be regression to the meme.

    Larry Lesser and Dennis Pearl

  • Lyric © 2017 Lawrence M. Lesser
    may be sung to the tune of “Slip Slidin’ Away” by Paul Simon

    CHORUS: Slip slidin’ to the mean, slip slidin’ to the mean,
    You know the less your correlation, the more you’re slip slidin’ to the mean.

    Well parents have daughter or son—
    Their heights were all observed by England’s Francis Galton:
    Extreme parents he did see
    Had kids that regressed toward mediocrity!

    (Repeat Chorus)

    And I know a teacher who gave high praise
    To the students whose midterms were the highest As;
    Those failing badly received rebuke—
    But the next test showed those extremes were a partial fluke!

    (Repeat Chorus)

    And I know a rookie who made the All-Star team
    And the cover of Sports Illustrated magazine.
    You can imagine what the coach thinks
    When the star has sophomore slump as if there was a jinx!

    (Repeat Chorus)

    Watch the video

  • Lyrics © Mary McLellan
    may sing to the tune of Adele's "Hello"

    Slope.Varies.
    It’s the standard deviation of the slope
    You need to know

    Slope.Varies.
    It’s the standard deviation of the slope
    You need to know

    If you sample many times
    I’d expect the slope you find
    Of the relation between X and Y
    To vary this much
    On average over time.

    If you sample many times
    I’d expect the slope you find
    Of the relation between X and Y
    To vary this much
    On average over time.

    https://www.youtube.com/watch?v=nJgYTKsVYQw

  • Lyrics © Mary McLellan
    may sing to the tune of "Play That Funky Music" by Wild Cherry

    Correlation coefficient
    Represented by the R!
    Correlation coefficient
    The variable that you use to
    represent it is the r

    Repeat

    https://www.youtube.com/watch?v=I1DenVRr3Ds

  • Lyrics © Mary McLellan
    may sing to the tune of "Billie Jean" by Michael Jackson

    Standard Deviation
    Standard Deviation
    Of residuals

    Average amount that the actual Y
    (the actual Y value point- ooooh)
    Varies from what’s predicted to
    Become
    Varies from the predicted Y

    Repeat

    https://www.youtube.com/watch?v=RW-Rfn86CSQ

  • Lyrics © Mary McLellan
    may sing to the tune of "Hit Me With Your Best Shot" by Pat Benatar

    You can add, subtract, multiply, divide…
    Well you can even switch the x and y
    Akk but negative transformations fly...
    And the r doesn’t change

    You can add, subtract, multiply, divide…
    Well you can even switch the x and y
    Akk but negative transformations fly...
    And the r doesn’t change

    https://www.youtube.com/watch?v=t-LtFLuA5VY

  • Lyrics © Mary McLellan
    may sing to the tune of Taylor Swift's "Shake it Off"

    X-bar is the mean of X
    Y-bar is the mean of Y
    And the (mean, mean) point is always
    On the line, on the line

    Repeat

    https://www.youtube.com/watch?v=XeVR2024dY0

  • Lyrics © Mary McLellan
    may sing to the tune of Miley Cyrus' "Wrecking Ball"

    Interpret the Y-intercept
    It happens when the X is Zero
    The predicted Y is this
    And it often does not make sense

    Repeat

    https://www.youtube.com/watch?v=KNw4B71UsqY

  • Lyrics © Mary McLellan
    may sing to the tune of "The Addams Family Theme Song"

    Interpret the slope (snap, snap)
    Interpret the slope (snap, snap)
    Interpret the slope, interpret the slope, interpret the slope

    For every 1 increase in the X
    The predicted Y, it does this…

    Interpret the slope (snap, snap)
    Interpret the slope (snap, snap)
    Interpret the slope, interpret the slope, interpret the slope

    Repeat

    https://www.youtube.com/watch?v=gGVj5p55REk

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