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If b_yx = 0.4 and b_xy = 0.9, the correlation coefficient r is
A0.6
B0.5
C±0.6
D±0.5
Answer & Solution
Correct answer: C. ±0.6
1. The correlation coefficient r² = b_yx × b_xy = 0.4 × 0.9 = 0.36.
2. Therefore r = ±√0.36 = ±0.6.
3. Sign is the common sign of the two regression coefficients (here both positive, so r = +0.6).
4. Hence ±0.6 is the standard answer; here r = +0.6.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 5 "Linear Regression", §5.2 ¶§5.2_