Question

What is the assumption of linearity in a logistic regression model? How can this be checked?

Answer #1

In case of simple linear regression there exists a linear relationship between dependant variable and the independant variables.

But in case of logistic regression there exists a linear relationship between log of dependant variable and the log of independant variables.

This linearity assumption can be verified by plotting the scattered plot and trendline for log of dependant variables and log of independant variables. This can be proved by finding the correlation coefficient for the above said graph and the value lies between -1 and 1

What are some of the violations of the linearity assumption in
the multiple linear regression model and how can we correct those
violations? Mainly focus on how to correct them by stating the
violations.

What does the exponent of the regression coeffcient, exp(B),
represent in a logistic regression model?

What types of predictor variables are acceptable to use in a
logistic regression model?
Only quantitative predictor variables are acceptable to use as
predictor variables in logistic regression models
Only dummy variables are acceptable to use as predictor
variables in logistic regression models
Both quantitative and dummy variables are acceptable to use as
predictor variables in logistic regression models

Can any linear regression model be checked for model adequacy by
statistical testing for lack of fit or goodness of fit? Why or why
not? Please provide your answer with detailed justification

What is logistic regression? When should we use logistic
regression instead of linear regression?
Why cannot we use linear regression where logistic regression
is used? Provide the generalized multiple logistic regression
equation.

In a regression analysis, what assumption can be checked with a
normal probability plot of the residuals, and what should one look
for in such a plot?
(A) x and y are correlated. Look for a
straight line pattern.
(B) The residuals all have the same variance. Look for a
straight line pattern. The vertical
variation in the plot should be roughly constant throughout the
whole range of fitted values.
(C) The residuals follow a normal distribution. Look for a...

What is it and how to test the goodness of fit for a logistic
model?

Assume one of the explanatory variable (named X1) in your
logistic regression is a categorical variable with the following
levels: low, average and high, and another explanatory variable
(named X2) is also categorical with the following levels: Sydney,
Melbourne, Hobart and Brisbane. Explain how you will use them in
developing your logistic regression model. How many coefficients
you will have in your final model?

Assume one of the explanatory variable (named X1) in
your logistic regression is a categorical variable with the
following levels: low, average and high, and another explanatory
variable (named X2) is also categorical with the
following levels: Sydney, Melbourne, Hobart and Brisbane. Explain
how you will use them in developing your logistic regression model.
How many coefficients you will have in your final model?

How can we use ecological model, continues and logistic growth
model in plant photosynthesis pathway.(C4,C3, CAM). How could we
use the equation to further study plants growth in one this
photosynthesis pathway.

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