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Correlation/Regression

  • Instructions

    Complete the activities below!

  • by Sabrina Little

    The slick pen glides across paper
    precisely scraping the ruler’s edge
    marking a line beside many lonesome dots
    a line of best fit as snug as a sweater.
    The slope is a mere fraction, but the line it fabricated would stretch on,
    encompassing an infinite amount of graph paper.
    As the line traveled, it would pass by many data points
    and the wispy voices of the outliers would be heard on the wind
    calling to the line from worlds away, asking it to contort
    to come and gather the lonely dots, and hold them shaking in its tepid arms
    but the line never does.
    Instead, it continues on without a sideways glance
    forever the same slope
    forever the same straight line.

  • by Lawrence Mark Lesser

    When any x you try 
    Yields the same y
    That’s still a function. 

    The dysfunction 
    Is the constant 
    Perseveration: 

    Daily seeking
    New outcomes
    (In work or love) 

    From plugging more values
    Into that parent function
    Now that you know, 

    Or trying to fit
    A line
    Falling flat.

  • I tried to fit a line to estimate how many people fall per banana peel, but it was a slippery slope.

    Larry Lesser and Dennis Pearl

  • Lyrics & Music © 2014 Greg Crowther

    If every gal I’ve met is a hypothesis
    Who might turn out to be the mate I’ve sought,
    And if I were to yield
    To the conventions of my field,
    Then you would be referred to as H-naught...

    CHORUS:
    You’re my null, after all; you’re a theory in the making,
    So robust to every test -- my hypothesis of choice.
    You account for the past; you’re a vision of the future;
    And when I feel confused, you’re my signal through the noise.

    My life has been an uncontrolled experiment --
    A source of all too many scattered plots.
    But you provide a line
    With an R-squared of point-nine;
    Yes, you and you alone connect my dots...

    CHORUS

    One can never prove a null
    In a finite length of time;
    Each finding simply strengthens it or not.
    But if I see trends emerge --
    And let’s just say I do --
    I’d be crazy not to publish what I’ve got...

    CHORUS [twice]

  • Lyric © 2015 Lawrence M. Lesser; Music by Dominic Dousa

    Before you do regression,
    Check out the scatterplot 
    Make sure a linear relationship
    Is good for what you've got!

    We try to predict weight
    Using height as the predictor
    If the correlation is really strong,
    We will be a victor!

    For a unit increase of height 
    The expected weight will go
    Up by five units:
    That's the meaning of the slope!

    If r equals 0.9
    then 0.81 is r square:
    The part of variation
    In Y that X does share!

    X and Y
    Have a relationship
    And our well-fit line
    Gives us a good model to predict!

  • Lyric © 2015 by Lawrence Mark Lesser
    may sing to tune of "Twinkle, Twinkle, Little Star"

    How do shoe length values go
    When height is high or when it's low?
    Like horses on a merry-go-round
    When they're both up or they're both down,
    This provides an illustration of a positive correlation!

    How do used car prices go
    When mileage is high or low?
    Like horses on a merry-go-round
    Where one is up when the other's down,
    This provides an illustration of a negative correlation!

    How do weights of people go
    When IQ score is high or low?
    Wild horses on a merry-go-round:
    No pattern to the up or down.
    This is an illustration of zero correlation!

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