# Correlation/Regression

• ### Standard Deviation of the Slope

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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.

• ### The r Song

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

Repeat

• ### Standard Deviations of Residuals

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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

• ### R Doesn't Change

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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

• ### Mean Mean on the Line

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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

• ### Interpret the Y-Intercept

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

Repeat

• ### Interpret the Slope

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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

• ### Correlation Coefficient

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

Correlation between X and Y
Linear between X and Y

Repeat

• ### Coefficient of Determination

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Coefficient of determination
The percent of variation that is found in the Y
Coefficient of determination
The percent of variation that is found in the Y

It can be explained by the changes in the X
or  it can be explained by the model itself, Oh

Coefficient of determination
The percent of variation that is found in the Y

Repeat