Question

which of these is not a possible r - value?
○ a. - 0.75
○ b. 1.5
○ c. 0.25
○ d. - 0.1

Explanation:

Step1: Recall the range of \( r - value \)

The correlation coefficient \( r \) satisfies \( - 1\leqslant r\leqslant1 \).

Step2: Check each option

• Option A: \( - 0.75 \) satisfies \( -1\leqslant - 0.75\leqslant1 \).
• Option B: \( 1.5>1 \), does not satisfy \( -1\leqslant r\leqslant1 \).
• Option C: \( 0.25 \) satisfies \( -1\leqslant0.25\leqslant1 \).
• Option D: \( - 0.1 \) satisfies \( -1\leqslant - 0.1\leqslant1 \).

Answer:

B. \( 1.5 \)