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) 150 170 190 210 230 250 to 211 199 199 186 176 168 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 was Select an answer 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 $241 ? (nearest 100) D. According to the model at what should the price be set in order to have a weekly demand of 178,800 ipod Touches? $ (nearest $1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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
170
190
210
230
250
to
211
199
199
186
176
168
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)
8 - T(P)
B. The squared correlation coefficient was Select an answer 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 $241 ?
(nearest 100)
D. According to the model at what should the price be set in order to have a weekly demand of 178,800
ipod Touches? $
(nearest $1)
Note: In the "real" world Apple sold about 20 million Ipod Touch's from Sept. 2007-Sept. 2009
Transcribed Image Text:Situation: The Ipod Touch has been out for two years now and a lot of data has been collected. Relevant Relationship: There is a functional relationship between Price of an IPod Touch,p and Weekly Demand, s. Below is a table of data that have been collected Price,p,($) Weekly Demand, s, (1,000s) 150 170 190 210 230 250 to 211 199 199 186 176 168 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) 8 - T(P) B. The squared correlation coefficient was Select an answer 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 $241 ? (nearest 100) D. According to the model at what should the price be set in order to have a weekly demand of 178,800 ipod Touches? $ (nearest $1) Note: In the "real" world Apple sold about 20 million Ipod Touch's from Sept. 2007-Sept. 2009
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