Concerta and Ritalin Concerta and Ritalin are twodifferent brands of a drug used to treat ADHD.a. Use the fact that market share for Concerta wasy = 2.4% for August 25, 2000 (x = 0), andwas 10% eleven weeks later to write a linearfunction representing its market share as a function of time.

Concerta and Ritalin Concerta and Ritalin are twodifferent brands of a drug used to treat ADHD.a. Use the fact that market share for Concerta wasy = 2.4% for August 25, 2000 (x = 0), andwas 10% eleven weeks later to write a linearfunction representing its market share as a function of time.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter13: Regression And Forecasting Models

Section: Chapter Questions

Problem 40P: The Baker Company wants to develop a budget to predict how overhead costs vary with activity levels....

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We want to estimate the average purchasing cost of new carspurchased in the last six months. We want a marginerror of $100 at a confidence level of 99%. Aftera preliminary deduction of 50 purchase costs, it is estimatedthe standard deviation at $725. Up to what sample size should wecontinue the investigation?
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A sample of twenty automobiles was taken, and the miles per gallon (MPG), horsepower, and total weight were recorded. Develop a linear regression model to predict MPG using horsepower as the only indepen- dent variable. Develop another model with weight as the independent variable. Which of these two models is better? Explain. MPG 44 44 40 37 37 34 35 32 30 28 26 26 25 22 20 21 18 18 16 16 4 HORSEPOWER 67 50 62 69 66 63 90 99 63 91 94 88 124 97 114 102 114 142 153 139 WEIGHT 1,844 1,998 1,752 1,980 1,797 2,199 2,404 2,611 3,236 2,606 2,580 2,507 2,922 2,434 3,248 2,812 3,382 3,197 4,380 4,036
Assume that two firms are competing for market share for a particular product. Each firm is considering what promotional strategies (no promotion, moderate promotion or heavy promotion) to employ for the coming period. The market research team of firm A develop the following data for varying degree of promotions.i. No promotion, moderate promotion and heavy promotion for both firms will result in no change in the percentage of their market sharesii. Firm A with no promotion: its market share will show 5% decline in its market share when firm B uses moderate promotion and 10% decline when firm B uses heavy promotion iii. Firm A using moderate promotion: its market share will increase by 12%when firm B chooses no promotion and 6% growth will be recorded when firm B uses heavy promotion.iv. Firm A using heavy promotion: its market share will increase by 14 when firm B uses no promotion and 9% when firm B uses moderate promotion. Based on the forgoing information, - Develop a payoff matrix…
YEAR ADVERTISING EXPENDITURE ($000) MEMBERSHIP SUBCRIPTIONS 2013 51 62 2014 58 68 2015 62 66 2016 65 66 2017 68 67 2018 76 72 2019 77 73 2020 78 72 2021 78 78 2022 84 73 2023 85 76 i) Plot the scattergraph for the data. (ii) Use the data, to develop a regression equation relating advertising expenditure to membership. (iii) Estimate the membership if $40 000 is spent on advertising. (iv) How much must be spent on advertising to obtain a membership of 80 (000)? (iv) What is the nature of the relationship between advertising expenditure and membership? (v) Forecast 2024 membership using an alternative method, clearly explaining the limitations of your selected method. (vi) What are the limitations of the method used in (i)?
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