Linear probability model, Mathematics

Assignment Help:

Pepsi:               A dummy variable where 1 denotes choice of Pepsi by the i-th customer and 0 otherwise

Price_P:           The price of a 2-liter bottle of Pepsi at the time of purchase

Price_7:           The price of a 2-liter bottle of 7-Up at the time of purchase

Price_C:           The price of a 2-liter bottle of Coke at the time of purchase

Disp_P:            A dummy variable where 1 denotes whether Pepsi was displayed at the time of purchase and 0 otherwise

The purpose of this exercise is to determine the factors that explain the choice of Pepsi over other types of colas.

  a. Using these data, estimate the probability (proportion) of a customer choosing Pepsi for (i) all cases; and (ii) for the cases where Pepsi is displayed.

  b. Assuming that a relationship exists between choosing Pepsi as the dependent variable and the rest as the independent variables, hypothesize the signs of the βk coefficients.

  c. Run 3 regressions of this relationship using a linear probability model, a logit model, and a probit model, and make a summary table including the estimated coefficients with their t/z ratios, R2, and the proportion of correct predictions coming from the 3 models.

  d. Calculate the proportion of correct predictions coming from the 3 models.

  e. Without running a significance test, evaluate the estimated coefficients.

  f.  Create a second table with the transformed coefficients of the logit and probit models to make them comparable to those of the linear probability model E.

 g. Using the 3 models, evaluate the probability of choosing Pepsi when Pepsi is displayed and when Pepsi is not displayed while the prices of all three drinks are equal at $1.50 per 2-liter bottle.


Related Discussions:- Linear probability model

Calculate the linear equation, Calculate the linear equation: Example...

Calculate the linear equation: Example: Solve the equation 4x + 3 = 19 by transposing. Solution: Step 1. Transpose the 3 from the left-hand to the right-hand si

Mean value theorem function, Mean Value Theorem : Suppose f (x) is a funct...

Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on

Understanding Logistics, How can i get a better understanding of logistics ...

How can i get a better understanding of logistics without having a degree on logistics and knowledge of it? Simply, in a very basic form..

Solving trig equations, Solving Trig Equations : Here we will discuss on s...

Solving Trig Equations : Here we will discuss on solving trig equations. It is something which you will be asked to do on a fairly regular basis in my class. Let's just see the

Triangles, if P is a point in the interior of a triangles ABC,prove that AB...

if P is a point in the interior of a triangles ABC,prove that AB>BC+CA

Example to understand division means, My nephew had been introduced to divi...

My nephew had been introduced to division by his teacher Ms. Santosh, in Class 3. He, and several of his friends who had been taught by her, appeared to be quite comfortable with t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd