The ice cream store cool stuff sells exotic ice creams, including Tropical Cream and Green Mango. Cool Stuff has been varying the prices of these two flavors over the past 16 quarters and has recorded the sales data. The table shows the quantity sold of Tropical Cream, Q, given the price of a half-gallon of Tropical Cream, P, and the price of the other flavor, Green Mango, Po. Use these data to estimate the demand function for Tropical Cream. Report and interpret the R-square.
Q | P | P0 |
210 | 21 | 13 |
205 | 23 | 15 |
213 | 22 | 15 |
208 | 23 | 16 |
205 | 24 | 16 |
210 | 23 | 16 |
218 | 21 | 13 |
201 | 25 | 18 |
205 | 25 | 18 |
198 | 26 | 18 |
205 | 24 | 17 |
195 | 26 | 18 |
222 | 21 | 19 |
156 | 25 | 15 |
189 | 24 | 14 |
198 | 20 | 18 |
Here Q is the response variable and p is the explanatory variable.
by putting the values in excel using the slope and intercept formula we found the demand function to be Q=296-4.05848p
the r suare value is given by rsq fuction.
Q | P | P0 | |||||||
210 | 21 | 13 | slope | -4.05848 | |||||
205 | 23 | 15 | intercept | 296.9883 | |||||
213 | 22 | 15 | therefore demand function q=296-4.05848p | ||||||
208 | 23 | 16 | r-square value | 0.26339 | |||||
205 | 24 | 16 | rsq function | ||||||
210 | 23 | 16 | |||||||
218 | 21 | 13 | |||||||
201 | 25 | 18 | |||||||
205 | 25 | 18 | |||||||
198 | 26 | 18 | |||||||
205 | 24 | 17 | |||||||
195 | 26 | 18 | |||||||
222 | 21 | 19 | |||||||
156 | 25 | 15 | |||||||
189 | 24 | 14 | |||||||
198 | 20 | 18 |
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