The file below contains quarterly data on pork sales. Price is in dollars per hundred pounds, quantity sold is in billions of pounds, per capita income is in dollars, U.S. population is in millions, and GDP is in billions of dollars. Do all work in Excel with StatTools and EXPLAIN EVERY STEP.

A. Use the data to develop a regression equation that could be used to predict the quantity of pork sold during future periods. Determine what variables should be included in the model. Discuss how you can tell whether unequal variance or multicollinearity might be a problem.

B. Suppose that during each of the next two quarters, price is 45, U.S. population is 240, GDP is 2620, and per capita income is 10,000. (These are in the units described previously.) Predict the quantity of pork sold during each of the next two quarters and provide a 95% prediction interval.

\begin{tabular}{|c|c|c|c|c|c|c|} \hline \multicolumn{1}{|c|}{ A } & B & C & D & E & F \\ \hline 1 & Quarter & Pork Sales & Pork Price & Income & Population & GDP \\ \hline 2 & 1 & 30.44 & 39.35 & 8255 & 212 & 1549 \\ \hline 3 & 2 & 29.23 & 46.11 & 8671 & 213 & 1589 \\ \hline 4 & 3 & 25.12 & 58.83 & 8583 & 214 & 1629 \\ \hline 5 & 4 & 28.35 & 52.20 & 8649 & 215 & 1669 \\ \hline 6 & 5 & 28.95 & 47.99 & 8775 & 216 & 1718 \\ \hline 7 & 6 & 27.83 & 49.19 & 8812 & 217 & 1768 \\ \hline 8 & 7 & 29.53 & 43.88 & 8884 & 218 & 1818 \\ \hline 9 & 8 & 35.90 & 34.25 & 8967 & 219 & 1868 \\ \hline 10 & 9 & 32.94 & 39.08 & 9036 & 220 & 1918 \\ \hline 11 & 10 & 31.86 & 40.87 & 9125 & 221 & 1978 \\ \hline 12 & 11 & 30.74 & 43.85 & 9280 & 222 & 2038 \\ \hline 13 & 12 & 34.99 & 41.38 & 9399 & 223 & 2098 \\ 14 & 13 & 32.43 & 47.44 & 9487 & 224 & 2148 \\ \hline 15 & 14 & 32.65 & 47.84 & 9530 & 225 & 2218 \\ \hline 16 & 15 & 31.58 & 48.52 & 9622 & 226 & 2288 \\ \hline 17 & 16 & 35.40 & 50.05 & 9732 & 227 & 2338 \\ \hline 18 & 17 & 33.98 & 51.98 & 9813 & 228 & 2398 \\ \hline 19 & 18 & 37.58 & 48.04 & 9778 & 229 & 2448 \\ \hline 20 & 19 & 38.59 & 38.52 & 9809 & 230 & 2478 \\ \hline 21 & 20 & 43.47 & 36.39 & 9867 & 231 & 2508 \\ \hline 22 & 21 & 41.24 & 36.31 & 9958 & 231 & 2539 \\ \hline 23 & 22 & 43.00 & 31.18 & 9805 & 235 & 2598 \\ \hline 24 & 23 & 37.57 & 46.23 & 9882 & 235 & 2598 \\ \hline \hline \end{tabular}