If a dependent variable is binary, is it optimal to use linear
regression or logistic regression? Explain your answer and include
the theoretical and practical concerns associated with each
regression model. Provide a business-related example to illustrate
your ideas.
Discuss the applications of Binary Logistic Regression in Clinical Research using the case study given in the(Application of Binary Logistic Regression in Clinical Research) in a brief manner with a maximum length of two pages
Fit a binary logistic regression model with admission decision
as the dependent variable, GRE and GPA as the independent
variables.
Evaluate the goodness of fit of the model.
Determine the significance of independent variables.
Interpret odds ratios for independent variables.
State the binary logistic regression equation.
Evaluate the classification accuracy of the model.
Check if the residuals are independent.
Admit
GRE
GPA
0
790
1
1
370
0
1
480
1
1
580
1
1
620
1
0
740
0...
What approaches are there by which coefficients are estimated
for linear and logistic regression?
How is the deviance affected when an explanatory term is omitted
(i know that it increases, but surely there is more to it?)
In what situations would we use Beta-binomial regression?
Logistic Regression
In logistic regression we are interested in determining the
outcome of a categorical variable. In most cases, we deal with
binomial logistic regression with the binary response variable, for
example yes/no, passed/failed, true/false, and others. Recall that
logistic regression can be applied to classification problems when
we want to determine a class of an event based on the values of its
features.
In this assignment we will use the heart data located
at
http://archive.ics.uci.edu/ml/datasets/Statlog+%28Heart%29
Here is the...