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which of the following correlation coefficients would a statistician kn…

Question

which of the following correlation coefficients would a statistician know at first glance was a mistake?
+08
-01
+1.0
+1.1

Explanation:

Step1: Recall correlation coefficient range

The correlation coefficient \( r \) must satisfy \( -1 \leq r \leq 1 \).

Step2: Check each option

  • \( +0.08 \): Between -1 and 1, valid.
  • \( -0.01 \): Between -1 and 1, valid.
  • \( +1.0 \): Equal to 1, valid (perfect positive correlation).
  • \( +1.1 \): Greater than 1, violates the range, so it's a mistake.

Answer:

+1.1 (the option with +1.1)