There is a functional relationship between Price of an IPod Touch,p and Weekly Demand,s. Below is a table of data that have been collected Price,p ,($) Weekly Demand,s ,(1,000s) 150 209 170 205 190 200 210 192 230 177 250 175 A.. Find the linear model that best fits this data using regression and enter the model below (for entry round the linear parameter value to nearest 0.01 and constant parameter to nearest 1) s=T(p)=   B. The squared correlation coefficient r2 was 0.95 (note: values less than 0.95 MAY mean the model is not appropriate for making predictions) Now answer these two questions using the UNROUNDED model parameters C. What does the model predict will be the weekly demand if the price of an ipod touch is $172 ? (nearest 100) D. According to the model at what should the price be set in order to have a weekly demand of 264,100 ipod Touches? $ (nearest $1)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Situation: The Ipod Touch has been out for two years now and a lot of data has been collected.

Relevant Relationship:

There is a functional relationship between Price of an IPod Touch,p and Weekly Demand,s.

Below is a table of data that have been collected

Price,p
,($) Weekly Demand,s
,(1,000s)
150 209
170 205
190 200
210 192
230 177
250 175



A.. Find the linear model that best fits this data using regression and enter the model below

(for entry round the linear parameter value to nearest 0.01 and constant parameter to nearest 1)

s=T(p)=  

B. The squared correlation coefficient r2 was 0.95

(note: values less than 0.95 MAY mean the model is not appropriate for making predictions)

Now answer these two questions using the UNROUNDED model parameters

C. What does the model predict will be the weekly demand if the price of an ipod touch is $172 ? (nearest 100)

D. According to the model at what should the price be set in order to have a weekly demand of 264,100 ipod Touches? $ (nearest $1)

Note: In the "real" world Apple sold about 20 million Ipod Touch's from Sept. 2007-Sept. 2009 Answer

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