What forecast for sales revenue in year 10 do you obtain using the results of part (a)?

This exam is open book. To receive partial credit, carefully show your work . There are six questions with a total of 140 points. You must turn in
the exam by 11:59pm Mar 6 and you should submit the solution via
Blackboard’s dedicated dropbox (Blackboard Assignment Link: “Week 8: Final
Exam .
1. Baby It’s You, a maker of baby foods, has found a high correlation between the
aggregate company sales and the number of births nationally the preceding
year. Suppose that the sales and the birth figures during the past eight years are
Year
1 2 3 4 5 6 7 8
Sales  6.1 6.4 8.3 8.8 5.1 9.2 7.3 12.5
US births 2.9 3.4 3.5 3.1 3.8 2.8 4.2 3.7
a. Determine a regression equation for predicting sales based on births. Use years 2 through 8 as your baseline.
b. Suppose that births are forecasted to be 3.3 million in year 9. What forecast for sales revenue in year 10 do you obtain using the results of part (a)?
2 The residents of IDS’s capital city deposit their refuse on the curbside at
the start of each working day. The amount of refuse placed at curbside at the start of each
day is an uncertain quantity whose probability distribution is given below
Refuse 15 20 25 30 35 40 45 50 55 60
Probability 0.025 0.075 0.15 0.2 0.175 0.15 0.1 0.075 0.025 0.025
The quantities of refuse produced on different days are all independent of one another.
Refuse is collected by crews. Each crew can collect 5 tons of refuse per eight hour
working day. Each crew consists of two members and each member receives $15/ hour.
Whatever refuse remains at the end of the work day must be collected that evening by a
special crew, called the Nighthawks who pick up the surplus at a price of $150/ton.
Determine the number of regular crews that minimizes the expected cost of garbage
collection and the resulting expected cost of garbage collection.