Correlation

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Last updated 11:42 AM on 5/26/25
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5 Terms

1
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How to calculate arithmetic mean

  1. Sum all individual elemets of the variable

  2. Divide by the number of elements

2
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How to calculate variance

  1. Subtract each observation of each participant from the sample mean

  2. Square that and add up all the values

  3. Divide by n-1 where n = the number of observations

3
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How to calculate standard deviation

Square root of variance

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How to calculate covariance

  1. Subtract the mean x from each x-value (xᵢ − x̄).

  2. Subtract the mean y from each y-value (yᵢ − ȳ).

  3. Multiply these two results for each pair.

  4. Add up all those products.

  5. Divide the total by (n − 1).

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How to calculate correlation

  1. Subtract the mean x from each x-value (xᵢ − x̄).

  2. Subtract the mean y from each y-value (yᵢ − ȳ).

  3. Multiply these two results for each pair.

  4. Add up all those products.

  5. Multiply SD of x by SD of y

  6. Divide the first part by the second