Chapter 2, Problem 2.10P

Your marketing department has identified the following customer demographics in the following table.  Construct a demand curve and determine the profit maximizing price as well as the expected profit if MC=$1.  The number of customers in the target population is 10,000.   Group Value Frequency Baby boomers $5 20% Generation X $4 10% Generation Y $3 10% `Tweeners $2 10% Seniors $2 10% Others $0 40%   ur marketing department has identified the following customer demographics in the following table.  Construct a demand curve and determine the profit maximizing price as well as the expected profit if MC=$1.  The number of customers in the target population is 10,000.

Test Preparation QUESTION 2 [20] 2.1 Body Mass Index (BMI) is a summary measure of relative health. It is calculated by dividing an individual's weight (in kilograms) by the square of their height (in meters). A small sample was drawn from the population of UWC students to determine the effect of exercise on BMI score. Given the following table, find the constant and slope parameters of the sample regression function of BMI = f(Weekly exercise hours). Interpret the two estimated parameter values. X (Weekly exercise hours) Y (Body-Mass index) QUESTION 3 2 4 6 8 10 12 41 38 33 27 23 19 Derek investigates the relationship between the days (per year) absent from work (ABSENT) and the number of years taken for the worker to be promoted (PROMOTION). He interviewed a sample of 22 employees in Cape Town to obtain information on ABSENT (X) and PROMOTION (Y), and derived the following: ΣΧ ΣΥ 341 ΣΧΥ 176 ΣΧ 1187 1012 3.1 By using the OLS method, prove that the constant and slope parameters of the…

QUESTION 2 2.1 [30] Mariana, a researcher at the World Health Organisation (WHO), collects information on weekly study hours (HOURS) and blood pressure level when writing a test (BLOOD) from a sample of university students across the country, before running the regression BLOOD = f(STUDY). She collects data from 5 students as listed below: X (STUDY) 2 Y (BLOOD) 4 6 8 10 141 138 133 127 123 2.1.1 By using the OLS method and the information above derive the values for parameters B1 and B2. 2.1.2 Derive the RSS (sum of squares for the residuals). 2.1.3 Hence, calculate ô 2.2 2.3 (6) (3) Further, she replicates her study and collects data from 122 students from a rival university. She derives the residuals followed by computing skewness (S) equals -1.25 and kurtosis (K) equals 8.25 for the rival university data. Conduct the Jacque-Bera test of normality at a = 0.05. (5) Upon tasked with deriving estimates of ẞ1, B2, 82 and the standard errors (SE) of ẞ1 and B₂ for the replicated data.…