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Parametrized Predictors
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In a logistic regression model, which of the following best describes the role of a parametrized predictor?

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Choose the Best Answer

A

It serves as an independent variable that predicts the probability of a binary outcome.

B

It measures the variability of the dependent variable.

C

It transforms the dependent variable into a categorical variable.

D

It is used to calculate the mean of the response variable.

Understanding the Answer

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Answer

In logistic regression the parametrized predictor is the linear combination of the input variables that the model uses to compute the log‑odds of the outcome. It takes the form β₀ + β₁x₁ + … + βₖxₖ, where the βs are the parameters to be learned from data. By adjusting these parameters the model can fit the relationship between the predictors and the probability of the event. For example, if β₀ = –2, β₁ = 0. 5 and β₂ = –1, then for a data point with x₁ = 4 and x₂ = 3 the predictor equals –2 + 0.

Detailed Explanation

A parametrized predictor is an input that helps the model estimate how likely a binary outcome is. Other options are incorrect because This option mixes up the predictor with the outcome; Predictors do not turn the outcome into categories.

Key Concepts

statistical modeling
logistic regression
Topic

Parametrized Predictors

Difficulty

medium level question

Cognitive Level

understand

Practice Similar Questions

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In the context of parametrized predictors, which estimation technique is commonly used to determine the parameters of a regression model?

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In the context of parametrized predictors, which combination of estimation techniques and regularization methods can lead to improved model evaluation by reducing overfitting?

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Which of the following scenarios best exemplifies the use of a parametrized predictor?

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In the context of parametrized predictors, which statement best describes the role of parameters in the predictive model?

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A startup is developing a predictive model to forecast sales based on various marketing strategies. They decide to use a linear regression model as their parametrized predictor. Which of the following statements best describes a crucial aspect of their model design related to the parametrized nature of the predictor?

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Which of the following statements about parametrized predictors are true? Select all that apply.

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In the context of parametrized predictors, which aspect most directly influences the model's capacity to generalize to unseen data?

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Which of the following best describes the role of loss functions in predictive modeling?

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Which of the following statements about regularizers in predictive models are correct? Select all that apply.

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