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Run a regression of the natural logarithm of change in sales on the natural logarithm of previous period's prices, and the natural log of marketing

  1. Run a regression of the natural logarithm of change in sales on the natural logarithm of previous period's prices, and the natural log of marketing expenditures on print, outdoor and broadcasting.

To understand the influence of vodka quality, run a regression by adding the tier 1 and tier 2 dummy variables (that indicate whether a vodka brand belongs to first- or second-quality tiers) to the set of independent variables in question 1.

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0 0 0 0 0 0 0 0 1650 2075 2660 3325 1235 1135 1080 725 757 1061 787 800 818 918 871 902 915 750 953 1054 1243 1438 1593 1753 1858 103 92 1418 1479 1595 1701 1744 1746 1869 1906 2001 1795 67 87 76 2870 2805 2577 2230 2070 1910 1797 1710 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1815 1852 1789 1753 1764 140 90 890 810 928 924 959 1012 1108 1157 1183 1206 1366 1387 1470 1591 702 820 1090 1295 1495 1694 1880 2065 2270 2390 5500 5951 5565 6720 6133 5783 6298 6933 7523 7487 8149 8505 9015 980 1055 1130 1100 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1231 1350 1490 1640 1855 1935 1985 2090 2185 150 165 165 160 170 175 185 190 176 85 175 350 475 630 850 LagTotalSales 2LagTotalSales LnSales LnLSales Ln2Lsales LnDif dif 2905 2790 8.006368 7.974189 7.933797 0.0321789 3000 2905 8.113726 8.006368 7.974189 0.107358 3340 3000 8.143227 8.113726 8.006368 0.029501 3440 3340 8.196988 8.143227 8.113726 0.0537615 3630 3440 8.306472 8.196988 8.143227 0.1094837 4050 3630 8.434898 8.306472 8.196988 0.1284266 4605 4050 8.384576 8.434898 8.306472 -0.0503225 4379 4605 8.406261 8.384576 8.434898 0.0216856 4475 4379 8.409163 8.406261 8.384576 0.002902 4488 4475 8.44247 8.409163 8.406261 0.0333061 4640 4488 8.441607 8.44247 8.409163 -0.0008621 4636 4640 8.486115 8.441607 8.44247 0.044508 4847 4636 8.51979 8.486115 8.441607 0.0336742 610 610 6.380123 6.413459 6.413459 -0.0333357 590 610 6.39693 6.380123 6.413459 0.0168071 600 590 6.405229 6.39693 6.380123 0.0082989 605 600 6.421622 6.405229 6.39693 0.0163927 615 605 6.429719 6.421622 6.405229 0.0080972 620 615 6.44572 6.429719 6.421622 0.0160012 630 620 6.461468 6.44572 6.429719 0.015748 640 630 6.476973 6.461468 6.44572 0.0155048 650 640 6.49224 6.476973 6.461468 0.0152669 660 650 6.522093 6.49224 6.476973 0.0298529 680 660 6.55108 6.522093 6.49224 0.0289874 700 680 6.565265 6.55108 6.522093 0.014185 710 700 6.579251 6.565265 6.55108 0.0139856 1160 1120 7.094235 7.056175 7.021084 0.0380597 1205 1160 7.079185 7.094235 7.056175 -0.0150499 1187 1205 7.153834 7.079185 7.094235 0.0746489 1279 1187 7.151485 7.153834 7.079185 -0.0023489 1276 1279 7.181592 7.151485 7.153834 0.030107 1315 1276 7.23201 7.181592 7.151485 0.0504179 1383 1315 7.285507 7.23201 7.181592 0.0534973 1459 1383 7.301822 7.285507 7.23201 0.016315 1483 1459 7.31055 7.301822 7.285507 0.008728 1496 1483 7.386471 7.31055 7.301822 0.0759206 1614 1496 7.343426 7.386471 7.31055 -0.0430446 1546 1614 7.367709 7.343426 7.386471 0.0242829 1584 1546 7.410347 7.367709 7.343426 0.0426378 140 144 5.609472 4.941642 4.969813 0.66783 273 140 5.723585 5.609472 4.941642 0.1141133 306 273 5.826 5.723585 5.609472 0.1024151 339 306 5.910797 5.826 5.723585 0.0847969 369 339 5.899898 5.910797 5.826 -0.0108991 365 369 5.9428 5.899898 5.910797 0.042902 381 365 6.016157 5.9428 5.899898 0.0733571 200 190 5.560682 5.298317 5.247024 0.2623649 IfDom 3% 11% 3% 6% 12% 14% -5% 2% 0% 3% 0% 5% 3% -3% 2% 1% 2% 1% 2% 2% 2% 2% 3% 3% 1% 1% 4% -1% 8% 0% 3% 5% 5% 2% 1% 8% -4% 2% 4% 95% 12% 11% 9% -1% 4% 8% 30% 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 260 310 325 440 435 455 485 510 545 625 34 42 47 59 65 61 61 430 485 496 502 568 585 620 602 592 634 620 595 575 285 240 220 183 248 252 275 342 319 327 357 365 381 665 569 595 597 648 200 260 310 325 440 435 455 485 510 545 38 34 42 47 59 65 61 430 430 485 496 502 568 585 620 602 592 634 620 595 250 285 240 220 183 248 252 275 342 319 327 357 365 750 530 569 595 597 5.736572 5.783825 6.086775 6.075346 6.120297 6.184149 6.234411 6.300786 6.437752 6.599871 3.73767 3.850147 4.077538 4.174387 4.110874 4.110874 4.110874 6.184149 6.206576 6.2186 6.342122 6.371612 6.429719 6.400258 6.383507 6.452049 6.429719 6.388561 6.35437 6.398595 5.480639 5.393628 5.209486 5.513429 5.529429 5.616771 5.834811 5.765191 5.78996 5.877736 5.899898 5.9428 5.891644 6.272877 6.388561 6.391917 6.473891 6.529419 5.560682 5.736572 5.783825 6.086775 6.075346 6.120297 6.184149 6.234411 6.300786 6.437752 3.526361 3.73767 3.850147 4.077538 4.174387 4.110874 4.110874 6.063785 6.184149 6.206576 6.2186 6.342122 6.371612 6.429719 6.400258 6.383507 6.452049 6.429719 6.388561 6.35437 5.652489 5.480639 5.393628 5.209486 5.513429 5.529429 5.616771 5.834811 5.765191 5.78996 5.877736 5.899898 5.9428 6.499787 6.343881 6.388561 6.391917 6.473891 5.298317 5.560682 5.736572 5.783825 6.086775 6.075346 6.120297 6.184149 6.234411 6.300786 3.637586 3.526361 3.73767 3.850147 4.077538 4.174387 4.110874 6.063785 6.063785 6.184149 6.206576 6.2186 6.342122 6.371612 6.429719 6.400258 6.383507 6.452049 6.429719 6.388561 5.521461 5.652489 5.480639 5.393628 5.209486 5.513429 5.529429 5.616771 5.834811 5.765191 5.78996 5.877736 5.899898 6.620073 6.272877 6.343881 6.388561 6.391917 0.17589 0.0472531 0.3029499 -0.0114288 0.044951 0.0638518 0.050262 0.0663753 0.1369658 0.1621194 0.211309 0.1124771 0.227391 0.096849 -0.0635128 0 0 0.1203637 0.0224271 0.0120239 0.1235223 0.02949 0.0581069 -0.0294609 -0.0167513 0.068542 -0.0223298 -0.0411582 -0.0341907 0.0442247 -0.1718502 -0.0870109 -0.1841421 0.3039432 0.0159998 0.0873423 0.21804 -0.0696201 0.0247688 0.0877762 0.022162 0.042902 -0.051156 -0.2269096 0.0446796 0.0033565 0.0819736 0.0555282 19% 5% 35% -1% 5% 7% 5% 7% 15% 18% 24% 12% 26% 10% -6% 0% 0% 13% 2% 1% 13% 3% 6% -3% -2% 7% -2% -4% -3% 5% -16% -8% -17% 36% 2% 9% 24% -7% 3% 9% 2% 4% -5% -20% 5% 0% 9% 6% 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 685 763 748 780 842 861 864 60 80 60 90 123 152 195 233 275 166 1060 965 858 777 732 699 684 680 690 641 614 565 567 1965 1860 2025 1955 2155 1973 1750 1592 1528 1480 1496 1448 1413 50 100 275 600 1150 648 685 763 748 780 842 861 52 60 70 60 90 123 152 195 233 275 1070 1060 965 858 777 732 699 684 680 690 641 614 565 1950 1965 1860 2025 1955 2155 1973 1750 1592 1528 1480 1496 1448 18 50 100 275 600 6.637258 6.617403 6.659294 6.73578 6.758094 6.761573 6.846943 4.382027 4.41884 4.49981 4.812184 5.02388 5.273 5.451038 5.616771 5.111988 5.257495 6.872128 6.754604 6.65544 6.59578 6.549651 6.527958 6.522093 6.536692 6.463029 6.419995 6.336826 6.340359 6.315358 7.528332 7.613325 7.578146 7.675546 7.58731 7.467371 7.372746 7.331715 7.299798 7.31055 7.277938 7.25347 7.17012 4.60517 5.616771 6.39693 7.047517 7.244227 6.529419 6.637258 6.617403 6.659294 6.73578 6.758094 6.761573 4.094345 4.382027 4.094345 4.49981 4.812184 5.02388 5.273 5.451038 5.616771 5.111988 6.966024 6.872128 6.754604 6.65544 6.59578 6.549651 6.527958 6.522093 6.536692 6.463029 6.419995 6.336826 6.340359 7.583248 7.528332 7.613325 7.578146 7.675546 7.58731 7.467371 7.372746 7.331715 7.299798 7.31055 7.277938 7.25347 3.912023 4.60517 5.616771 6.39693 7.047517 6.473891 6.529419 6.637258 6.617403 6.659294 6.73578 6.758094 3.951244 4.094345 4.248495 4.094345 4.49981 4.812184 5.02388 5.273 5.451038 5.616771 6.975414 6.966024 6.872128 6.754604 6.65544 6.59578 6.549651 6.527958 6.522093 6.536692 6.463029 6.419995 6.336826 7.575585 7.583248 7.528332 7.613325 7.578146 7.675546 7.58731 7.467371 7.372746 7.331715 7.299798 7.31055 7.277938 2.890372 3.912023 4.60517 5.616771 6.39693 0.1078391 -0.019855 0.0418911 0.0764856 0.0223141 0.003479 0.0853701 0.2876821 0.0368128 0.4054651 0.3123736 0.2116961 0.2491198 0.1780381 0.1657333 -0.5047832 0.1455069 -0.0938959 -0.1175241 -0.099164 -0.05966 -0.0461287 -0.0216932 -0.0058651 0.0145993 -0.0736632 -0.0430341 -0.083169 0.0035334 -0.025001 -0.0549159 0.0849929 -0.0351791 0.0974002 -0.0882363 -0.1199389 -0.094625 -0.0410309 -0.0319171 0.0107522 -0.0326123 -0.0244679 -0.0833502 0.6931467 1.011601 0.780159 0.6505866 0.1967101 11% -2% 4% 8% 2% 0% 9% 33% 4% 50% 37% 24% 28% 19% 18% -40% 16% -9% -11% -9% -6% -5% -2% -1% 1% -7% -4% -8% 0% -2% -5% 9% -3% 10% -8% -11% -9% -4% -3% 1% -3% -2% -8% 100% 175% 118% 92% 22% 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1400 1650 2075 2660 1260 1235 1135 1080 725 757 1061 787 800 818 918 871 902 605 750 953 1054 1243 1438 1593 1753 88 103 1324 1418 1479 1595 1701 1744 1746 1869 1906 2001 50 67 87 3525 2870 2805 2577 2230 2070 1910 1797 1150 1400 1650 2075 1360 1260 1235 1135 1080 725 757 1061 787 800 818 918 871 450 605 750 953 1054 1243 1438 1593 100 88 1206 1324 1418 1479 1595 1701 1744 1746 1869 1906 37 50 67 3680 3525 2870 2805 2577 2230 2070 1910 7.408531 7.637716 7.886081 8.109225 7.118826 7.034388 6.984716 6.586172 6.629363 6.966967 6.668228 6.684612 6.706862 6.822197 6.769642 6.804615 6.818924 6.620073 6.859615 6.960348 7.125283 7.271008 7.373374 7.469084 7.527256 4.634729 4.521789 7.257003 7.299121 7.374629 7.438972 7.463937 7.465083 7.533159 7.552762 7.601402 7.49276 4.204693 4.465908 4.330733 7.962067 7.939159 7.854381 7.709757 7.635304 7.554859 7.493874 7.444249 7.244227 7.408531 7.637716 7.886081 7.138867 7.118826 7.034388 6.984716 6.586172 6.629363 6.966967 6.668228 6.684612 6.706862 6.822197 6.769642 6.804615 6.405229 6.620073 6.859615 6.960348 7.125283 7.271008 7.373374 7.469084 4.477337 4.634729 7.188413 7.257003 7.299121 7.374629 7.438972 7.463937 7.465083 7.533159 7.552762 7.601402 3.912023 4.204693 4.465908 8.167636 7.962067 7.939159 7.854381 7.709757 7.635304 7.554859 7.493874 7.047517 7.244227 7.408531 7.637716 7.21524 7.138867 7.118826 7.034388 6.984716 6.586172 6.629363 6.966967 6.668228 6.684612 6.706862 6.822197 6.769642 6.109248 6.405229 6.620073 6.859615 6.960348 7.125283 7.271008 7.373374 4.60517 4.477337 7.095064 7.188413 7.257003 7.299121 7.374629 7.438972 7.463937 7.465083 7.533159 7.552762 3.610918 3.912023 4.204693 8.210668 8.167636 7.962067 7.939159 7.854381 7.709757 7.635304 7.554859 0.1643043 0.2291846 0.2483654 0.2231441 -0.020041 -0.0844378 -0.0496721 -0.3985438 0.043191 0.337604 -0.298739 0.0163836 0.0222502 0.115335 -0.0525551 0.0349731 0.0143089 0.2148438 0.239542 0.1007333 0.1649346 0.1457253 0.102366 0.0957098 0.0581722 0.157392 -0.1129398 0.0685897 0.0421181 0.0755081 0.064343 0.0249648 0.0011463 0.0680757 0.0196033 0.0486398 -0.1086416 0.2926698 0.2612152 -0.1351752 -0.2055688 -0.0229082 -0.0847778 -0.1446242 -0.0744529 -0.0804448 -0.0609851 -0.0496249 18% 26% 28% 25% -2% -8% -5% -33% 4% 40% -26% 2% 2% 12% -5% 4% 1% 24% 27% 11% 18% 16% 11% 10% 6% 17% -11% 7% 4% 8% 7% 3% 0% 7% 2% 5% -10% 34% 30% -13% -19% -2% -8% -13% -7% -8% -6% -5% 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1710 1815 1852 1789 1753 100 140 807 1010 810 928 924 959 1012 1108 1157 1183 1206 1366 1387 1470 594 702 820 1090 1295 1495 1694 1880 2065 2270 5740 5500 5951 5565 6720 6133 5783 6298 6933 7523 7487 8149 8505 975 980 1055 1130 1797 7.503841 1710 7.524022 1815 7.489412 1852 7.469084 1789 7.475339 65 4.941642 100 4.5108595 727 6.791222 1205 6.697034 1010 6.833032 810 6.828712 928 6.865891 924 6.919684 959 7.010312 1012 7.053586 1108 7.075809 1157 7.095064 1183 7.219642 1206 7.234899 1366 7.293018 1387 7.372118 500 6.553934 594 6.709304 702 6.993933 820 7.166266 1090 7.309882 1295 7.434848 1495 7.539027 1694 7.632885 1880 7.727535 2065 7.779048 5850 8.612503 5740 8.691315 5500 8.624252 5951 8.812843 5565 8.721439 6720 8.662678 6133 8.747988 5783 8.844048 6298 8.92572 6933 8.920923 7523 9.005651 7487 9.048409 8149 9.106646 975 6.887553 975 6.961296 980 7.029973 1055 7.003066 7.444249 7.503841 7.524022 7.489412 7.469084 4.60517 4.941642 6.693324 6.917706 6.697034 6.833032 6.828712 6.865891 6.919684 7.010312 7.053586 7.075809 7.095064 7.219642 7.234899 7.293018 6.386879 6.553934 6.709304 6.993933 7.166266 7.309882 7.434848 7.539027 7.632885 7.727535 8.655214 8.612503 8.691315 8.624252 8.812843 8.721439 8.662678 8.747988 8.844048 8.92572 8.920923 9.005651 9.048409 6.882438 6.887553 6.961296 7.029973 7.493874 0.0595918 7.444249 0.0201812 7.503841 -0.0346103 7.524022 -0.020328 7.489412 0.0062551 4.174387 0.336472 4.60517 -0.56349266 6.588926 0.097898 7.094235 -0.2206721 6.917706 0.1359982 6.697034 -0.0043201 6.833032 0.037179 6.828712 0.053793 6.865891 0.0906281 6.919684 0.0432739 7.010312 0.022223 7.053586 0.0192552 7.075809 0.124578 7.095064 0.0152569 7.219642 0.0581188 7.234899 0.0791001 6.214608 0.1670551 6.386879 0.1553698 6.553934 0.2846293 6.709304 0.1723328 6.993933 0.1436162 7.166266 0.1249657 7.309882 0.1041794 7.434848 0.0938578 7.539027 0.0946498 7.632885 0.0515132 8.674197 -0.0427113 8.655214 0.0788116 8.612503 -0.0670624 8.691315 0.188591 8.624252 -0.091404 8.812843 -0.0587616 8.721439 0.08531 8.662678 0.0960598 8.747988 0.0816727 8.844048 -0.004797 8.92572 0.0847282 8.920923 0.042758 9.005651 0.0582361 6.882438 0.005115 6.882438 0.0737429 6.887553 0.0686769 6.961296 -0.026907 6% 2% -3% -2% 1% 40% -36% 10% -20% 15% 0% 4% 6% 9% 4% 2% 2% 13% 2% 6% 8% 18% 17% 33% 19% 15% 13% 11% 10% 10% 5% -4% 8% -6% 21% -9% -6% 9% 10% 9% 0% 9% 4% 6% 1% 8% 7% -3% 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1100 1231 1350 1490 1640 1855 1935 1985 2090 170 150 165 165 160 170 175 185 190 27 85 175 350 475 630 1130 1100 1231 1350 1490 1640 1855 1935 1985 185 170 150 165 165 160 170 175 185 25 27 85 175 350 475 7.115582 7.20786 7.306531 7.402452 7.52564 7.567863 7.593374 7.644919 7.689371 5.010635 5.105946 5.105946 5.075174 5.135798 5.164786 5.220356 5.247024 5.170484 4.442651 5.164786 5.857933 6.163315 6.44572 6.745236 7.003066 7.115582 7.20786 7.306531 7.402452 7.52564 7.567863 7.593374 7.644919 5.135798 5.010635 5.105946 5.105946 5.075174 5.135798 5.164786 5.220356 5.247024 3.295837 4.442651 5.164786 5.857933 6.163315 6.44572 7.029973 0.1125159 7.003066 0.092278 7.115582 0.098671 7.20786 0.095921 7.306531 0.123188 7.402452 0.042223 7.52564 0.0255108 7.567863 0.0515451 7.593374 0.0444522 5.220356 -0.1251631 5.135798 0.0953112 5.010635 0 5.105946 -0.0307722 5.105946 0.0606241 5.075174 0.0289879 5.135798 0.0555701 5.164786 0.0266681 5.220356 -0.07654 3.218876 1.146814 3.295837 0.7221351 4.442651 0.6931472 5.164786 0.3053818 5.857933 0.2824054 6.163315 0.2995157 12% 10% 10% 10% 13% 4% 3% 5% 5% -12% 10% 0% -3% 6% 3% 6% 3% -7% 215% 106% 100% 36% 33% 35% 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DollarSales PriceRerUnit LagPrice LnPrice LnLPrice Mag News Outdoor Broad Print 352040 117.3467 109.2943 4.765132 4.694044 25713.7 291.4 332.7 1 26005.1 370072 110.8 117.3467 4.707727 4.765133 25658 177.6 625 1 25835.6 381152 110.8 110.8 4.707727 4.707727 27013.9 201.7 515.7 1 27215.6 419737 115.63 110.8 4.750396 4.707727 27617 308.2 1420.4 161.9 27925.2 468302 115.6301 115.63 4.750397 4.750395 30605.3 258.1 1416.8 70.3 30863.4 560025 121.6124 115.6301 4.800839 4.750396 33971.3 533.4 1336.7 143.1 34504.7 556550 127.0952 121.6124 4.844937 4.800839 28559.8 231.3 1999 134.2 28791.1 594000 132.7374 127.0952 4.888373 4.844936 30387.3 424.8 523.1 1 30812.1 620000 138.1462 132.7374 4.928312 4.888373 29275 958.6 2819.4 315.5 30233.6 658880 142 138.1462 4.955827 4.928313 31208.5 5.9 2185.1 2202.4 31214.4 688446 148.5 142 5.000585 4.955827 13159 0.3 1216.4 2344 13159.3 735532 151.75 148.5 5.022234 5.000585 17244.2 232.1 2250.3 3944.5 17476.3 760723 151.75 151.75 5.022235 5.022234 16024.8 624.9 2447.1 4534 16649.7 22760 38.57627 37.04918 3.652637 3.612246 1 1 1 1 2 22200 37 38.57627 3.610918 3.652637 1 1 1 1 2 22385 37 37 3.610918 3.610918 1 1 1 1 2 21470 34.91057 37 3.55279 3.610918 1 1 1 1 2 21700 35 34.91057 3.555348 3.55279 1 1 1 1 2 21937 34.82064 35 3.55021 3.555348 1 1 1 1 2 22285 34.82031 34.82064 3.550201 3.55021 1 1 1 1 2 22633 34.82 34.82031 3.550192 3.550201 1 1 1 1 2 22981 34.8197 34.82 3.550183 3.550192 1 1 1 1 2 23678 34.82059 34.8197 3.550209 3.550183 1 1 1 1 2 24374 34.82 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45.45098 45.44954 46.0496 240.4762 240.6808 239.661 239.2923 207.4426 232.2459 33.95349 33.85567 34.10081 34.1 34.10035 34.10085 34.1 34.09967 34.09966 34.09937 34.1 34.10084 33.92174 117.193 146.5417 111.1318 142.3142 113 113 127.2655 126.1053 119.7994 119.8012 130.605 132.1479 131.3412 45.11278 39 39 39 3.724527 3.724469 3.466659 3.816625 3.816625 3.816602 3.816634 3.816603 3.829719 3.829735 5.482621 5.483472 5.479226 5.477686 5.334855 5.447797 5.52251 3.522106 3.529321 3.529297 3.529308 3.529322 3.529297 3.529288 3.529288 3.529279 3.529297 3.529322 3.524056 3.529293 4.98731 4.710717 4.958037 4.727388 4.727388 4.846275 4.837117 4.785819 4.785834 4.872178 4.883922 4.877799 4.90942 3.762516 3.663562 3.663562 3.663562 3.663562 3.724488 3.724527 3.724469 3.466659 3.816625 3.816625 3.816602 3.816634 3.816603 3.829719 5.482621 5.483471 5.479226 5.477686 5.334855 5.447797 3.524992 3.522106 3.529321 3.529297 3.529308 3.529322 3.529297 3.529288 3.529287 3.529279 3.529297 3.529322 3.524056 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28646 28478 28897 27013 27737 23704 25572 24940 99640 94000 93840 105595 104214 92910 89856 85812 84346 85950 82970 82627 74490 17350 47713 104100 199525 251300 39.50066 39.5 39.5 39.35986 39.50058 39.5 39.50053 109.05 114.7506 112.3 121.5041 121.5 125 125 125 123.6145 124.0833 43.84456 43.24009 41.88005 41.87978 41.87983 41.88012 41.87941 41.87971 42.14196 45.17427 41.95398 45.10053 45.09946 53.56989 46.41975 48 49 52.82007 53.09143 56.44221 56.15969 56.99054 57.45321 57.29972 58.47629 57.3 173.5 173.5018 173.5 173.5 179.5 39 39.50066 39.5 39.5 39.35986 39.50058 39.5 109.05 112.3 121.5041 121.5 125 125 125 123.6145 43.39622 43.84456 43.24009 41.88005 41.87978 41.87983 41.88012 41.87941 41.87971 42.14196 45.17427 41.95398 45.10053 48.19339 53.56989 46.41975 48 49 52.82007 53.09143 56.44221 56.15969 56.99054 57.45321 57.29972 58.47629 86.76 173.5 173.5018 173.5 173.5 3.676317 3.676301 3.676301 3.672746 3.676315 3.676301 3.676314 4.691806 4.742761 4.721174 4.799948 4.799914 4.828314 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6.510258 6.242807 6.762498 9.471435 8.753829 8.53958 8.213436 8.058486 9.145343 0 4.01458 0 0 0 0 0 0 0 0 8.463455 9.079605 8.427509 8.866455 9.330902 0 6.525469 0 0 0 3.430756 6.310282 5.267858 0 0 0 0 0 0 0 0 0 0 0 7.212958 6.721908 4.580877 1.335001 0 3.970292 1.00E-05 1.00E-05 4.902308 5.388158 6.315539 6.231268 1.00E-05 1.00E-05 1.00E-05 3.339322 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 4.283587 1.00E-05 1.00E-05 5.876615 6.095825 6.463029 6.431653 7.830505 1.00E-05 7.483694 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 6.511745 7.087239 6.763654 9.471512 8.753987 8.545606 8.352413 8.118058 9.14545 1.00E-05 4.032469 7.605293 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 8.715273 9.170029 8.448636 8.86699 9.330991 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 62737 62650 62542 62424 62241 62193 62175 62102 62039 63690 63707 63739 63776 63798 63825 63847 63874 63920 63979 63921 63778 63685 63562 63374 LagTotalMinusSales TierSales OutsideTierSales LagTierSales LagOutsideTierSales Firstintro 60903 1080 59760 1035 59868 0 60840 1255 59277 1080 59760 0 60532 1532 58932 1255 59277 0 60464 1730 58576 1532 58932 0 60306 2118 57800 1730 58576 0 59918 2549 56846 2118 57800 0 59395 3358 56295 2549 56846 0 59653 4197 55392 3358 56295 0 59589 4939 54669 4197 55392 0 59608 5582 53906 4939 54669 0 59488 6346 53178 5582 53906 0 59524 7251 52094 6346 53178 0 59345 8119 51092 7251 52094 0 63198 11385 51865 12395 50803 0 63250 11409 51863 11385 51865 0 63272 11273 52026 11409 51863 0 63299 10970 52351 11273 52026 0 63321 10863 52485 10970 52351 0 63348 11236 52134 10863 52485 0 63370 10973 52419 11236 52134 0 63392 10933 52481 10973 52419 0 63414 11101 52335 10933 52481 0 63436 11701 51747 11101 52335 0 63448 11513 51947 11701 51747 0 63460 11754 51728 11513 51947 0 63482 11848 51656 11754 51728 0 62648 10770 51865 11845 50803 0 62635 10822 51863 10770 51865 0 62685 10599 52026 10822 51863 0 62625 10309 52351 10599 52026 0 62660 10168 52485 10309 52351 0 62653 10483 52134 10168 52485 0 62617 10154 52419 10483 52134 0 62573 10100 52481 10154 52419 0 62581 10265 52335 10100 52481 0 62600 10767 51747 10265 52335 0 62514 10667 51947 10767 51747 0 62614 10880 51728 10667 51947 0 62608 10915 51656 10880 51728 0 63860 7464 56295 7014 56846 0 63759 8366 55392 7464 56295 0 63758 9088 54669 8366 55392 0 63757 9953 53806 9088 54669 0 63759 10605 53190 9953 53806 0 63795 11732 52079 10605 53190 0 63811 12722 51092 11732 52079 0 63672 11618 52026 11809 51863 0 63644 63626 63643 63560 63597 63609 63611 63618 63615 63567 63966 63990 64017 64037 64063 64099 64131 63378 63355 63376 63402 63368 63383 63380 63430 63472 63462 63508 63565 63617 63523 63600 63652 63721 63688 63716 63725 63690 63745 63769 63771 63795 63811 63143 63303 63309 63339 63320 11275 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51747 51947 51728 57371 57494 56956 57314 56036 56508 56458 55587 54570 53053 52295 50965 49806 50803 51863 52026 52351 52485 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 63315 63269 63316 63316 63286 63299 63328 63780 63792 63908 63910 63909 63912 63901 63895 63885 64026 62748 62875 63014 63127 63204 63269 63316 63352 63374 63455 63514 63595 63625 61843 61980 61847 61949 61781 61995 62250 62440 62536 62616 62632 62712 62779 63886 63868 63725 63432 62914 10850 10835 10981 11539 11352 11600 11627 6836 6507 7452 8322 9342 10848 11600 12920 14220 15674 11010 11151 11101 10853 10784 11182 10933 10893 11120 11767 11648 11897 12015 10115 9984 9923 9430 9510 10116 10021 10055 10281 10885 10765 11051 11268 6068 6879 7137 7522 8027 52419 52481 52335 51747 51947 51728 51656 56956 57314 56458 55587 54570 53053 52295 50965 49806 48358 51865 51863 52026 52351 52485 52134 52419 52481 52335 51747 51947 51728 51656 51865 51863 52026 52351 52485 52134 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