question
A chilled orange juice warehousing operation in New York City was experiencing too many out-of-stock situations with its 96-ounce containers. To better understand current and future demand for this product, the company examined the last 40 days of sales, shown in the table below. One of the company's objectives is to model demand, $y$, as a function of sale day, $x$ (where $x=1,2,3, \ldots, 40)$. | Sale Day, x | Demand for 96 oz. Containers y (in cases) | |---|---| | 1 | 4,581 | | 2 | 4,239 | | 3 | 2,754 | | 4 | 4,501 | | 5 | 4,016 | | 6 | 4,680 | | 7 | 4,950 | | 8 | 3,303 | | 9 | 2,367 | | 10 | 3,055 | | 11 | 4,248 | | 12 | 5,067 | | 13 | 5,201 | | 14 | 5,133 | | 15 | 4,211 | | 16 | 3,195 | | 17 | 5,760 | | 18 | 5,661 | | 19 | 6,102 | | 20 | 6,099 | | 21 | 5,902 | | 22 | 2,295 | | 23 | 2,682 | | 24 | 5,787 | | 25 | 3,339 | | 26 | 3,798 | | 27 | 2,007 | | 28 | 6,282 | | 29 | 3,267 | | 30 | 4,779 | | 31 | 9,000 | | 32 | 9,531 | | 33 | 3,915 | | 34 | 8,964 | | 35 | 6,984 | | 36 | 6,660 | | 37 | 6,921 | | 38 | 10,005 | | 39 | 10,153 | | 40 | 11,520 | **d**. Fit a second-order model to these data.
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