ISYE 6414 EXAM WITH GUARANTEED CORRECT ANSWERS |VERIFIED
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ISYE 6414
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ISYE 6414
ISYE 6414 EXAM WITH GUARANTEED CORRECT ANSWERS |VERIFIED
In logistic regression, we model the__________________, not the response variable, given the predicting variables. - ACCURATE ANSWERprobability of a success
g link function - ACCURATE ANSWERlink the probability of success to the predict...
ISYE 6414 EXAM WITH
GUARANTEED CORRECT ANSWERS
|VERIFIED
In logistic regression, we model the__________________, not the response
variable, given the predicting variables. - ACCURATE ANSWER✅✅probability
of a success
g link function - ACCURATE ANSWER✅✅link the probability of success to the
predicting variables
3 assumptions of the logistic regression model - ACCURATE
ANSWER✅✅Linearity, Independence, Logit link function
Linearity assumption for a Logistic Model - ACCURATE 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 - ACCURATE 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 - ACCURATE 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? -
ACCURATE 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? - ACCURATE
ANSWER✅✅to the odds of success
What method do we use to estimate the model parameters? - ACCURATE
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. - ACCURATE 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. - ACCURATE 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. - ACCURATE ANSWER✅✅A
Using the R statistical software to fit a logistic regression,
A) We can use the lm() command.
B) The input of the response variable is exactly the same if the binary response
data are with or without replications.
C) We can obtain both the estimates and the standard deviations of the estimates
for the regression coefficients.
D) None of the above. - ACCURATE ANSWER✅✅C
Using MLE, can we derive estimated coefficients/parameters in exact form? -
ACCURATE ANSWER✅✅No, they are approximate estimated parameters
The sampling distribution of MLEs can be approximated by a... - ACCURATE
ANSWER✅✅normal distribution
What can we use to test if Betaj is = 0? - ACCURATE ANSWER✅✅z test (wald
test)
When would we reject the null hypothesis for a z test? - ACCURATE
ANSWER✅✅We reject the null hypothesis that the regression coefficient is 0 if
the z value is larger in absolute value than the z critical point. Or the 1- alpha over
2 normal quanta. We interpret this that the coefficient is statistically significant.
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