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AP Statistics/Unit 2: Exploring Two-Variable Data
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Properties of Pearson Correlation Coefficient
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The Pearson correlation coefficient $$$$r$$$$ has several key properties. Rank the following properties in the order in which they are inherent in the computation and interpretation of $$r$$, starting with the step most fundamental to its calculation:

  1. Computation using standardized scores.
  2. Being unit‐free.
  3. Invariance under variable interchange.
  4. Guaranteed to lie between $$-1$$ and $$+1$$.
A

Computed using standardized scores, Invariance under variable interchange, Unit‐free, Range between $$-1$$ and $$+1$$

B

Range between $$-1$$ and $$+1$$, Invariance under variable interchange, Computed using standardized scores, Unit‐free (although these are all valid properties, the sequence here does not reflect the logical progression of calculation and interpretation)

C

Computed using standardized scores, Unit‐free, Invariance under variable interchange, Range between $$-1$$ and $$+1$$

D

Unit‐free, Computed using standardized scores, Invariance under variable interchange, Range between $$-1$$ and $$+1$$

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