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) 150 170 190 210 230 250 211 206 199 189 179 175 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 was above 0 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 $225? (nearest 100) D. According to the model at what should the price be set in order to have a weekly demand of 183,500 ipod Touches? $ (nearest $1) Note: In the "real" world Apple sold about 20 million Ipod Touch's from Sept. 2007-Sept. 2009

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
Problem 6P
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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
211
206
199
189
179
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) =
ALUM
B. The squared correlation coefficient was above
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 $225 ?
(nearest 100)
D. According to the model at what should the price be set in order to have a weekly demand of 183,500
ipod Touches? S
(nearest $1)
Note: In the "real" world Apple sold about 20 million Ipod Touch's from Sept. 2007-Sept. 2009
Transcribed Image Text:Relevant Relationship: There is a functional relationship between Price of an IPod Touch,p and Weekly Demand, s. Below is a table of data that have been collected Price,p,($) Weekly Demand, s, (1,000s) 150 170 190 210 230 250 211 206 199 189 179 175 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) = ALUM B. The squared correlation coefficient was above 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 $225 ? (nearest 100) D. According to the model at what should the price be set in order to have a weekly demand of 183,500 ipod Touches? S (nearest $1) Note: In the "real" world Apple sold about 20 million Ipod Touch's from Sept. 2007-Sept. 2009
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