I’m willing to be associated with correlation,
but regression is where I have to draw the line.
Dennis Pearl
My data for people that drank between 1 and 9 beers showed that their blood alcohol content could be predicted with great accuracy using a simple regression model.
I wanted to make a prediction for 12 beers but was told that I was out of line.
Dennis Pearl
Lyrics © 2017 Michael Posner
I've been staring at my test in statistics
Longer than I care to remember
Not been perplexed by scatterplots before
I wish I could be the perfect student
But I know it would have been prudent
If I had studied regression even more
Got a high R-squared,
Heteroscadastic? Nope
What does that mean? I’m scared!
A non-zero slope
I reject H0
Cause the p is low
Errors somewhat normal I see
See the line where the jump meets the year
It confounds me
‘Cause I don’t know, how far he’ll go
If the wind on his back as he jumps stays behind him
One never knows
We must be able to figure out how far he'll go
I will use the given coefficients
Cause I know that I’m proficient
Calculating the point that’s on the line
Take the year times 0.011
Subtract 14.4 and I’m done
So maybe my answer is fine
10.3 I got
About 34 feet
So I’ll put that dot, now my answer’s complete
But it sounds like a lot to accomplish that feat
What is wrong with me
See the line where the jump meets the year
It’s far out there
So I don’t know, how far he’ll go
So it seems extrapolation doesn’t work
For twenty-one eighty
So we don’t know
What's beyond those points
Can’t go past those points
See the line where the jump meets the year
Can’t go out there
So we don’t know, how far he’ll go
If the new point I predict leaves my plot far behind me
We don’t know
How far he'll go
Lyric by Mary McLellan
may sing to the tune of "Ice Ice Baby" (Vanilla Ice)
Yikes! Is it Linear, Listen…
Have you got a correlation coefficient
r is the strength of linearity
R^{2 }is % of variability
Can we tell from r- NO! You don’t know
Residual plot- you must check
Look at residuals and see if there’s a pattern
“Statistical Evidence” only with a p-value
Linear Model…. Linear Model….
Repeat
Music and lyrics ©2017 by Lawrence Mark Lesser
I stopped buyin’ ice cream when I saw the charts:
The sales align with attacks by sharks!
And I’d go to my doctor, but won’t anymore:
His patients look sickly leavin’ his door!
Correlation information never gave me pause:
I treat it like causation – just ‘cause!
TVs per household aligns with length of life,
So I filled my rooms with that blue TV light!
Number of cops and crimes directly correlate,
So the crew in blue we should eliminate!
Correlation information confounds me and my flaws:
I treat it like causation – just ‘cause!
Before this song, my world was causation;
But I was wrong, it was guilt by association!
So I claim my song helped -- well, maybe
The Correlation Guessing Game provides panels of four scatterplots and challenges you to match them with four potential values of Pearson's correlation.