Question

which of these is not a possible r - value?
a. - 0.5
b. - 0.1
c. 0.2
d. 1.75

Explanation:

Step1: Recall the range of the correlation coefficient \(r\)

The correlation coefficient \(r\) has a range of \(- 1\leqslant r\leqslant1\).

Step2: Check each option

• Option A: \(-0.5\) satisfies \(-1\leqslant - 0.5\leqslant1\).
• Option B: \(-0.1\) satisfies \(-1\leqslant - 0.1\leqslant1\).
• Option C: \(0.2\) satisfies \(-1\leqslant0.2\leqslant1\).
• Option D: \(1.75>1\), does not satisfy \(-1\leqslant r\leqslant1\).

Answer:

D. 1.75