Correlation/Regression

  • 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)

  • 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.

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • Lyrics © Mary McLellan
    may sing to the tune of "Blue Suede Shoes

    There is a strong
    There is a weak
    Positive or negative, linear

    Correlation between X and Y
    Linear between X and Y

    Repeat

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