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

p

and Weekly Demand,s

s

.

Below is a table of data that have been collected

p. s

150 210

170 207

190. 194

210. 191

230 176

250. 176

1. 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

s=T(p)

2. What does the model predict will be the weekly demand if the price of an ipod touch is $225 ?(nearest 100)

3. According to the model at what should the price be set in order to have a weekly demand of 179,000 ipod Touches? $(nearest $1)