Situation: There was a lot of data collected during the first two years after the iPod Touch was released.

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	211
170	199
190	195
210	187
230	176
250	169

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 `r^2` was Select an answer above below 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 173,900 iPod Touches? $ (nearest $1)

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