Question: Please answer the following questions using the data in the attached Excel file. You are thinking of investing in Abercrombie and Fitch Co. (ANF). The

Please answer the following questions using the data in the attached Excel file.

You are thinking of investing in Abercrombie and Fitch Co. (ANF). The returns for ANF are embedded in an Excel document below (Source: yahoo.com).

1. For the investment in ANF that you are considering, for all of 2012 determine the following items:

a) the mean return

b) the median return

c) the standard deviation

d) the variance

e) the coefficient of variation

The weekly rates of return for ANF stock and the overall market are embedded. Weekly returns of the markets are based on the S&P Index. Using linear regression analysis, please answer the following questions.

a) Write the equation for the relationship between ANFs stock price and the overall market. In other words, what is the estimated relationship between ANFs stock price and the overall market?

b) What percentage of the variability in ANFs stock price can be explained by the relationship to the returns of the overall market? (Note: this is a measure of the stocks market-related risk.)

c) Would you recommend using the estimated linear relationship as an estimate of the likely change in ANFs stock price given an estimate of the likely change in the S&P index? Why or why not? Be specific in your answer.

Weekly Investment Data
S&P Index ANF - Abercrombie & Fitch Co.
Date Open High Low Close Volume Adj Close Return Open High Low Close Volume Adj Close Return
12/24/2012 1430.15 1430.15 1401.8 1418.1 2121390000 1418.1 -0.84% 47.33 48.04 44.87 46.16 1608500 46.16 -2.55%
12/17/2012 1413.54 1448 1413.54 1430.15 4108678000 1430.15 1.17% 47 49.1 46.2 47.37 2724100 47.37 1.26%
12/10/2012 1418.07 1438.59 1411.88 1413.58 3383768000 1413.58 -0.32% 47.48 47.97 46.17 46.78 2844000 46.78 0.84%
12/3/2012 1416.34 1423.73 1398.23 1418.07 3386154000 1418.07 0.13% 46.03 46.63 44.79 46.39 2408200 46.39 1.09%
11/26/2012 1409.15 1419.7 1385.43 1416.18 3390836000 1416.18 0.50% 45.1 46.33 44.02 45.89 3931800 45.89 3.36%
11/19/2012 1359.88 1409.16 1359.88 1409.15 2688502500 1409.15 3.62% 41.26 44.52 41.09 44.4 3451900 44.4 9.06%
11/12/2012 1379.86 1388.81 1343.35 1359.88 3621476000 1359.88 -1.45% 31.41 42.9 30.74 40.87 11496600 40.71 29.69%
11/5/2012 1414.02 1433.38 1373.03 1379.85 3602274000 1379.85 -2.43% 32.69 34.43 31.16 31.52 2099400 31.39 -3.86%
10/31/2012 1410.99 1434.27 1405.95 1414.2 3746493300 1414.2 0.16% 30.79 33.42 30.18 32.78 2638400 32.65 7.19%
10/22/2012 1433.21 1435.46 1403.28 1411.94 3397482000 1411.94 -1.48% 31.92 32.18 30.06 30.58 1904400 30.46 -4.45%
10/15/2012 1428.75 1464.02 1427.24 1433.19 3692620000 1433.19 0.32% 33.02 33.56 31.75 32.01 2308400 31.88 -2.89%
10/8/2012 1460.93 1460.93 1425.53 1428.59 3115478000 1428.59 -2.21% 32.16 34.4 32.07 32.96 2085600 32.83 0.92%
10/1/2012 1440.9 1470.96 1439.01 1460.93 3429462000 1460.93 1.41% 33.28 34.05 32.14 32.66 1857200 32.53 -3.70%
9/24/2012 1459.76 1463.24 1430.53 1440.67 3394752000 1440.67 -1.33% 36.65 36.65 33.84 33.92 2321400 33.78 -8.03%
9/17/2012 1465.42 1467.07 1449.98 1460.15 3705514000 1460.15 -0.38% 39.09 39.25 36.65 36.88 2212700 36.73 -6.30%
9/10/2012 1437.92 1474.51 1428.98 1465.77 4004608000 1465.77 1.94% 36.4 39.65 35.1 39.36 4790200 39.2 7.90%
9/4/2012 1406.54 1437.92 1396.56 1437.92 3564977500 1437.92 2.23% 35.86 36.77 34.43 36.48 1656300 36.33 1.34%
8/27/2012 1411.13 1416.17 1397.01 1406.58 2628268000 1406.58 -0.32% 36.29 37 35.37 35.99 1585600 35.85 -0.55%
8/20/2012 1417.85 1426.68 1398.04 1411.13 2943798000 1411.13 -0.50% 35.71 37.44 34.95 36.19 2348100 36.05 1.21%
8/13/2012 1405.87 1418.71 1397.32 1418.16 2824746000 1418.16 0.87% 32.11 36.25 31.69 35.93 4546500 35.62 12.26%
8/6/2012 1391.04 1407.14 1391.04 1405.87 3182784000 1405.87 1.07% 29.38 32.29 28.91 32.01 3519500 31.73 9.00%
7/30/2012 1385.94 1394.16 1354.65 1390.99 3883892000 1390.99 0.36% 36.39 36.75 28.64 29.37 7705300 29.11 -20.09%
7/23/2012 1362.34 1389.19 1329.24 1385.97 4031190000 1385.97 1.71% 35.85 37 34.66 36.75 2309600 36.43 0.11%
7/16/2012 1356.5 1380.39 1345.07 1362.66 3608082000 1362.66 0.43% 35.42 36.97 33.77 36.71 2861100 36.39 3.47%
7/9/2012 1354.66 1361.54 1325.41 1356.78 3333824000 1356.78 0.16% 33.38 35.71 32.45 35.48 3820600 35.17 5.87%
7/2/2012 1362.33 1374.81 1348.03 1354.68 2801175000 1354.68 -0.55% 34.81 35.14 33.1 33.51 2195800 33.22 -1.83%
6/25/2012 1334.9 1362.17 1309.27 1362.16 3752304000 1362.16 2.03% 30.25 34.7 29.51 34.14 3268800 33.84 11.17%
6/18/2012 1342.42 1363.46 1324.41 1335.02 4027288000 1335.02 -0.58% 31.41 32.46 30.29 30.71 2327600 30.44 -2.62%
6/11/2012 1325.72 1343.32 1306.62 1342.84 3715250000 1342.84 1.30% 32.45 32.74 30.26 31.54 3239800 31.26 -1.94%
6/4/2012 1278.29 1329.05 1266.74 1325.66 3887776000 1325.66 3.73% 32.17 33.41 31.27 32.16 2580800 31.88 0.06%
5/29/2012 1318.9 1334.93 1277.25 1278.04 4050725000 1278.04 -3.02% 36.49 36.6 31.82 32.14 3554400 31.86 -11.28%
5/21/2012 1295.73 1328.49 1295.73 1317.82 3765818000 1317.82 1.74% 36.37 37.01 34.45 36.23 3505500 35.91 1.44%
5/14/2012 1351.93 1351.93 1291.98 1295.22 4251866000 1295.22 -4.30% 46.22 46.77 35.67 35.89 6231600 35.4 -23.01%
5/7/2012 1368.79 1373.91 1343.13 1353.39 3941332000 1353.39 -1.15% 50.41 50.41 45.19 46.62 2962000 45.98 -7.73%
4/30/2012 1403.26 1415.32 1367.96 1369.1 3833174000 1369.1 -2.44% 50.84 54.05 49.78 50.52 3129300 49.83 -0.70%
4/23/2012 1378.53 1406.64 1358.79 1403.36 3790184000 1403.36 1.80% 48.36 51.3 46.98 50.88 2106000 50.18 3.72%
4/16/2012 1370.27 1392.76 1365.38 1378.53 3701492000 1378.53 0.60% 47.59 49.68 46.01 49.05 2171500 48.38 4.00%
4/9/2012 1397.45 1397.45 1357.38 1370.26 3818638000 1370.26 -1.99% 49.1 49.11 46.75 47.16 1787300 46.52 -5.52%
4/2/2012 1408.47 1422.38 1392.92 1398.08 3659032500 1398.08 -0.74% 50.84 52.87 49.74 49.92 1855800 49.24 0.63%
3/26/2012 1397.11 1419.15 1391.56 1408.47 3698456000 1408.47 0.81% 51.72 52.03 48.92 49.61 2095900 48.93 -3.17%
3/19/2012 1404.17 1414 1386.87 1397.11 3682996000 1397.11 -0.50% 52.39 53.25 50.46 51.23 2056600 50.53 -2.36%
3/12/2012 1370.78 1405.88 1366.69 1404.17 4281244000 1404.17 2.43% 50.67 54.1 50.35 52.47 3129300 51.75 3.29%
3/5/2012 1369.59 1374.76 1340.03 1370.87 3676690000 1370.87 0.09% 48.18 51.14 47.45 50.79 2656800 50.1 5.21%
2/27/2012 1365.2 1378.04 1354.92 1369.63 3782622000 1369.63 0.28% 47.82 48.69 45.67 48.28 3208200 47.62 0.29%
2/21/2012 1361.22 1368.92 1352.28 1365.74 3680180000 1365.74 0.33% 48.8 48.92 47.03 48.14 2276800 47.48 -0.34%
2/13/2012 1343.06 1363.4 1340.8 1361.23 3882884000 1361.23 1.38% 45.35 50.44 43.41 48.48 4778300 47.64 7.56%
2/6/2012 1344.32 1354.32 1335.92 1342.64 3861272000 1342.64 -0.17% 40.38 45.79 40.26 45.07 4189500 44.29 11.25%
1/30/2012 1316.16 1345.34 1300.49 1344.9 4225678000 1344.9 2.17% 46.68 47.45 40.25 40.51 6803000 39.81 -14.22%
1/23/2012 1315.29 1333.47 1306.06 1316.33 4080966000 1316.33 0.07% 44.89 47.56 43.77 47.23 3111900 46.41 6.10%
1/17/2012 1290.22 1315.49 1290.22 1315.38 4121290000 1315.38 2.04% 45.46 48.02 44.4 44.51 3630100 43.74 -1.06%
1/9/2012 1277.83 1296.82 1274.55 1289.09 3854788000 1289.09 0.88% 44.3 45.82 43.56 44.99 4016700 44.21 0.18%
1/3/2012 1258.86 1284.62 1258.86 1277.81 3877267500 1277.81 1.61% 49.58 50.26 44.52 44.91 2866900 44.13 -8.06%
12/28/2011 1265.38 1265.85 1248.64 1257.6 2299986600 1257.6 49.02 49.19 47.94 48.84 922000 48

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