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,� and Weekly Demand,�.Below is a table of data that have been collected Price,�,($) Weekly Demand,�,(1,000s) 150 217 170 206 190 191 210 185 230 182 250 170 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)�=�(�)=  B. The squared correlation coefficient �2 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 parametersC. What does the model predict will be the weekly demand if the price of an ipod touch is $219 ?  (nearest 100)D. According to the model at what should the price be set in order to have a weekly demand of 171,300 ipod Touches? $ (nearest $1)Note: In the "real" world Apple sold about 20 million Ipod Touch's from Sept. 2007-Sept. 2009 Answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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,� and Weekly Demand,�.

Below is a table of data that have been collected

Price,�,($) Weekly Demand,�,(1,000s)
150 217
170 206
190 191
210 185
230 182
250 170



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)

�=�(�)=  

B. The squared correlation coefficient �2 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 $219 ?  (nearest 100)

D. According to the model at what should the price be set in order to have a weekly demand of 171,300 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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