
Answer-first summary for fast verification
Answer: 0.481.
## Explanation In logistic regression, the **log odds** (also called the logit) is calculated using the formula: \[ \text{log odds} = \ln\left(\frac{P}{1 - P}\right) \] Given: - \( P = 0.618 \) - \( 1 - P = 1 - 0.618 = 0.382 \) Substitute into the formula: \[ \text{log odds} = \ln\left(\frac{0.618}{0.382}\right) \] First, calculate the odds: \[ \frac{0.618}{0.382} \approx 1.618 \] Then take the natural logarithm: \[ \ln(1.618) \approx 0.481 \] Therefore, the associated log odds are closest to **0.481**, which corresponds to **Option B**. **Verification:** - Option A (0.382) is simply \(1 - P\), not the log odds - Option C (1.618) is the odds ratio \(\frac{P}{1-P}\), not the log odds - Option B (0.481) is the correct log odds value
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If the probability of an event occurring is estimated as P = 0.618 with a logistic regression, the associated log odds are closest to:
A
0.382.
B
0.481.
C
1.618.
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