Question
You have been retained by a regional food marketer, FoodKing, to forecast the demand for small cakes that are mass-produced and marketed under the name
You have been retained by a regional food marketer, FoodKing, to forecast the demand for small
cakes that are mass-produced and marketed under the name Big Suzy's Snack Cakes. To assist with
your analysis, you are provided with data that was collected for 8 consecutive quarters and 6
geographic markets.(Note:THE DATA IS CONTAINED IN THE EXCEL FILE LABELED "BIG SUZY.XLSX").
EITHER CIRCLE or BOLD all Final Answers.
Estimate a regression model that expresses sales as a function of price, income, competitor's price
and population.Having done that, you are asked to address the following questions.
(a)Estimate a regression model that expresses sales as a function of price, income and
competitor's price and population? Once you have estimates the regression model, (a) provide a
clear interpretation of the "R2" and (b) the statistical significant of the overall regression. Be
sure to explain if the overallregression is statistically significant at a 5% level and how you
know that. Explain...
(b)Can you provide a clear, concise interpretation for the slope coefficient on your price? Is that coefficient
significantly different from zero? How do you know that? Explain...
(c)FoodKing is considering entering a new market. In this market, the population is 4,430,000,
the average (or per capita) income is $61,800 and the competitor's product sells for $4.80. Using
this regression model, if you price your product at $5.50, how many pies will you sell? BE VERY
CAREFUL WITH THE UNITS OF MEASUREMENT - FOR EXAMPLE: NOTE THAT THE PRICES IN THE DATA SET ARE
MEASURED IN CENTS. SHOW YOUR WORK HERE. (hint: just plug thenumbers into the regression estimated above - be careful with units)
(d)Using the same information on income, competitor's price and population, calculate the number
of pies you will sell at a price of $5.60 per pie. SHOW YOUR WORK HERE.
(e)Using the prices and quantities from (c) and (d), calculate the percentage change in Price
and Quantity sold. Which is larger? SHOW YOUR WORK HERE.
(f)One of your assistants suggests that there is a significant seasonal effect on the
consumption of snack cakes. Specifically, he suggests that "people each more snack cakes during the
holiday season (October through December)". Can you test you assistant's hypothesis? If so, is she
correct? If so, how many more snack cakes do they eat doing the holiday season? SHOW YOUR WORK.
(hint: use a dummy variable)
Do we sell more stack cakes during the holiday season?
YESorNO (circle one)
If "Yes", how many more?
Data Set for Big Suzy
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