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ISYE 6414 - Unit 4 Study Guide with Complete Solutions

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ISYE 6414 - Unit 4 Study Guide with Complete Solutions In logistic regression, we model the__________________, not the response variable, given the predicting variables. - Answer️️ -probability of a success g link function - Answer️️ -link the probability of success to the predicting va...

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  • September 13, 2024
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  • ISYE 6414
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,ISYE 6414 - Unit 4 Study Guide with
Complete Solutions
In logistic regression, we model the__________________, not the response variable,

given the predicting variables. - Answer✔️✔️-probability of a success

g link function - Answer✔️✔️-link the probability of success to the predicting variables

3 assumptions of the logistic regression model - Answer✔️✔️-Linearity, Independence,

Logit link function

Linearity assumption for a Logistic Model - Answer✔️✔️-Similar to the regression model

we have learned in the previous lectures, the relationship we assume now, between the

link, the g of the probability of success and the predicted variable, is a linear function.

Logit link function assumption - Answer✔️✔️-The logistic regression model assumes that

the link function is a so-called logit function. This is an assumption since the logit

function is not the only function that yields s-shaped curves. And it would seem that

there is no reason to prefer the logit to other possible choices.

Log odds function - Answer✔️✔️-The logit function which is the log of the ratio between

the probability of a success and the probability of a failure

What is the interpretation of coefficient Beta in terms of logistic regression? -

Answer✔️✔️-the log of the odds ratio for an increase of one unit in the predicting variable,

holding all other variables constant

We interpret the beta in a logistic regression model in respect to? - Answer✔️✔️-to the

odds of success


Page 1 of 17

, What method do we use to estimate the model parameters? - Answer✔️✔️-Maximum

Likelihood Estimation approach

Logistic regression is different from standard linear regression in that:

A) It does not have an error term

B) The response variable is not normally distributed.

C) It models probability of a response and not the expectation of the response.

D) All of the above. - Answer✔️✔️-D

Which one is correct?

A) The logit link function is the only link function that can be used for modeling binary

response data.

B) Logistic regression models the probability of a success given a set of predicting

variables.

C) The interpretation of the regression coefficients in logistic regression is the same as

for standard linear regression assuming normality.

D) None of the above. - Answer✔️✔️-B

In logistic regression,

A) The estimation of the regression coefficients is based on maximum likelihood

estimation.

B) We can derive exact (close form expression) estimates for the regression

coefficients.

C) The estimations of the regression coefficients is based on minimizing the sum of

least squares.

D) All of the above. - Answer✔️✔️-A

Page 2 of 17

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