Algebra 1 · Interpreting Data

Interpret correlation strength/direction

Interpret correlation strength/direction.

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What you’ll learn

Interpret correlation strength/direction.

Key idea

Linear strength uses magnitude, while positive/negative sign indicates direction.

Magnitude compares linear strength; sign gives direction, neither establishes causality or population claims.

Worked example

Enter the exact value or ordered values in the format requested below.

Technology reports correlation r_A=7/10, r_B=2/5 for two measured samples. By how much does A linear strength |r| exceed B? Enter an exact numerical value.

  1. Signs indicate directions: A positive, B positive.
  2. Magnitudes |r_A|=7/10 and |r_B|=2/5 measure linear strength, so A is stronger by 3/10; neither coefficient alone proves causation or a population claim.

Answer: 3/10

Quick Check

Interpret the result of 'Interpret correlation strength/direction' in the data-generating context, including units and population limits.

Technology reports correlation r_A=-3/4, r_B=-1/2 for two measured samples. Interpret BOTH sample directions and their relative linear strength without a universal cutoff or causal claim.

Choose one answer

Show a hint

Separate coefficient sign from distance to zero.