📚 Learning Guide
Parametrized Predictors
hard

In the context of logistic regression, which estimation technique is primarily used to maximize predictive accuracy while ensuring that the model effectively predicts binary outcomes?

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Question & Answer
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2
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3
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Choose the Best Answer

A

Ordinary Least Squares

B

Maximum Likelihood Estimation

C

Ridge Regression

D

Bayesian Estimation

Understanding the Answer

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Answer

In logistic regression we use maximum‑likelihood estimation to find the parameter values that make the observed binary outcomes most probable. By maximizing the likelihood function, the fitted model assigns probabilities that best match the actual 0/1 labels, thereby improving predictive accuracy. The likelihood is built from the Bernoulli distribution for each observation, and the optimization is usually done with gradient‑based algorithms. For example, if a data point is labeled 1, the likelihood contribution is the predicted probability p, while for a label 0 it is 1‑p; maximizing the product of these across all data points gives the best‑fitting parameters. This approach directly targets the binary prediction task, ensuring the model’s outputs align with the true outcomes.

Detailed Explanation

Maximum Likelihood Estimation, or MLE, looks for the parameter values that make the observed data most probable. Other options are incorrect because Ordinary Least Squares assumes a continuous outcome and normal errors, which is not true for 0/1 data; Ridge Regression adds a penalty to shrink coefficients, helping with overfitting, but it does not directly maximize the probability of the observed outcomes.

Key Concepts

logistic regression
estimation techniques
predictive accuracy
Topic

Parametrized Predictors

Difficulty

hard level question

Cognitive Level

understand

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