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MTH-416, REGRESSION ANALYSIS Lecture Notes - Lecture 4: Logistic Regression, Indian Institute Of Technology Kanpur, Mathematical Optimization

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rosi10agarwal
6 Apr 2023
School
Indian Institute of Technology - IIT Kanpur
Department
Mathematics
Course
MTH-416, REGRESSION ANALYSIS
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Document Summary

The log-link function is x i ln( x i g i i i i i g. Note that in identity link function, the predicted values of y can be negative but in log-link function, the predicted values of y are nonnegative. We use the method of maximum likelihood estimation to estimate the parameters of the poisson regression model. The likelihood function is based on poisson distribution with parameter and then. " s are estimated through the link function. The likelihood function of y is y y. 1 i p y i i exp( i i n i. 1 i y i i i y i exp y i n. L y n ln( i y i n n i ln( y i. " s through the link function i can be related to. 1 i y i x i g exp( 1 g x i x x i x .

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Related Questions

For this exercise, round all regression parameters to three decimal places. The following table shows the number†P of design patents awarded by the U.S. Patent and Trademark Office from 1950 through 2010. t = years since 1950 P = patents

0= 4718

10=2543

20=3214

30=3949

40=8024

50=17,413

60=22,799

(a) Use exponential regression to model P as a function of t.

(b) P(t) = In what years were there more patents awarded than might be expected from the model? (Enter your

Explain how the parameters in the function y=af(b(x-h))+k compare to the parameters  

 

 

 

Example 1: Define a function that takes an argument. Call the function. Identify what code is the argument and what code is the parameter.

Example 2: Call your function from Example 1 three times with different kinds of arguments: a value, a variable, and an expression. Identify which kind of argument is which. 

Example 3: Create a function with a local variable. Show what happens when you try to use that variable outside the function. Explain the results.

Example 4: Create a function that takes an argument. Give the function parameter a unique name. Show what happens when you try to use that parameter name outside the function. Explain the results.

Example 5: Show what happens when a variable defined outside a function has the same name as a local variable inside a function. Explain what happens to the value of each variable as the program runs.