Question: Plot your monthly stock returns against the S&P returns. Add the Excel's regression line, then add the approximate 95% prediction intervals, stating how those were

Plot your monthly stock returns against the S&P returns. Add the Excel's regression line, then add the approximate 95% prediction intervals, stating how those were computed. Add a vertical cut anywhere you choose and explain how the intersection of that line with the two prediction interval lines is informative.

HAS Stock

Date Open High Low Close Adj Close Volume Monthly Returns Montly Return in %
2017-06-01 105.32 113.489998 104.910004 111.510002 96.878815 18823800 -4.89127 -5.04886
2017-07-01 112.089996 116.199997 103.68 105.879997 91.987541 21853000 -6.17018 -6.70763
2017-08-01 106.080002 106.800003 93.730003 98.25 85.81736 29495800 -0.50659 -0.59031
2017-09-01 98.449997 99.089996 91.57 97.669998 85.310768 28113900 -4.43717 -5.20119
2017-10-01 97.349998 98.93 88.660004 92.589996 80.873596 39225400 0.86359 1.06782
2017-11-01 92.900002 99.169998 87.919998 93.019997 81.737183 28472500 -1.87162 -2.28980
2017-12-01 92.639999 97.169998 90.029999 90.889999 79.865562 24062900 3.23362 4.04883
2018-01-01 91.559998 97.459999 88.300003 94.57 83.099182 33893000 1.38955 1.67216
2018-02-01 94.339996 103.389999 89.889999 95.57 84.488731 39670900 -9.96323 -11.79238
2018-03-01 96.059998 97.160004 83.559998 84.300003 74.525497 29977900 3.35055 4.49584
2018-04-01 83.970001 89.059998 79 88.089996 77.876045 40703000 -0.62754 -0.80582
2018-05-01 88 89.209999 85.309998 86.75 77.248505 20515700 4.95102 6.40921
2018-06-01 87.220001 93 86.279999 92.309998 82.199524 22295500 6.50046 7.90815
2018-07-01 91.75 107.580002 91.699997 99.610001 88.699982 39660300 0.29807 0.33605
2018-08-01 99.379997 102.519997 97.220001 99.309998 88.998055 15977000 5.20670 5.85035
2018-09-01 98.75 109.599998 98.650002 105.120003 94.20475 20561200 -12.01756 -12.75685
2018-10-01 106.110001 107.57 89.889999 91.709999 82.187195 39613800 -0.07298 -0.08880
2018-11-01 92.050003 100.849998 90.970001 91 82.114212 24238700 -8.79797 -10.71430
2018-12-01 91.470001 91.510002 76.839996 81.25 73.316246 27703400 8.40092 11.45848
2019-01-01 79.889999 91.540001 77.339996 90.559998 81.717171 23375400 -4.57354 -5.59679
2019-02-01 90.540001 93.190002 82.879997 84.900002 77.143631 34300600 0.10902 0.14133
2019-03-01 85.790001 90.040001 82.870003 85.019997 77.252655 19848400 15.30152 19.80711
2019-04-01 85.459999 103.599998 84.610001 101.860001 92.554176 29382000 -5.52427 -5.96869
2019-05-01 101.900002 105 95.099998 95.139999 87.029907 21764700 9.64153 11.07841
2019-06-01 95.209999 108.860001 94.580002 105.68 96.67144 17327300 14.16041 14.64797
2019-07-01 106.699997 126.870003 104.470001 121.160004 110.831848 24574900 -9.22322 -8.32181
2019-08-01 121.589996 122.190002 103.040001 110.470001 101.608627 21211200 7.56062 7.44093
2019-09-01 109.82 121.480003 108.089996 118.690002 109.16925 15384600 -19.66500 -18.01331
2019-10-01 118.949997 123.050003 94.190002 97.309998 89.50425 31959000 4.68292 5.23207
2019-11-01 97.790001 102.699997 92.589996 101.699997 94.187172 35831200 3.62116 3.84464
2019-12-01 102.599998 106.269997 98.07 105.610001 97.808334 20493100 -3.46374 -3.54135
2020-01-01 106.169998 106.25 100.620003 101.870003 94.344597 20827600 -22.33172 -23.67037
2020-02-01 102.690002 109.5 75.629997 77.25 72.012878 33799200 -5.31356 -7.37862
2020-03-01 77.32 80.120003 41.330002 71.550003 66.699318 52967900 0.61526 0.92245
2020-04-01 68.040001 80.489998 66.470001 72.209999 67.314583 32395300 1.85699 2.75868
2020-05-01 70.650002 74.959999 60.200001 73.510002 69.171577 22626300 1.35501 1.95891
2020-06-01 73.559998 83.989998 69.330002 74.949997 70.526588 25540300 -2.06074 -2.92193
2020-07-01 74.690002 80.800003 70.779999 72.760002 68.465851 23129800 6.51080 9.50956
2020-08-01 72.959999 82.080002 72.279999 78.940002 74.976654 13636800 3.59023 4.78846
2020-09-01 78.57 85.82 75.25 82.720001 78.566879 20357500 0.00000 0.00000
2020-10-01 82.989998 92.949997 80.239998 82.720001 78.566879 23669600 10.51463 13.38303
2020-11-01 83.529999 94.300003 82.010002 93.029999 89.081505 17257100 0.48834 0.54820
2020-12-01 94.339996 97.129997 87.519997 93.540001 89.569847 20843700 0.26813 0.29935
2021-01-01 93.739998 101.239998 90.389999 93.82 89.837975 15161100 -0.10533 -0.11725
2021-02-01 93.75 99.68 89.160004 93.709999 89.732643 20687900 2.97968 3.32061
2021-03-01 94.139999 99.489998 90.32 96.120003 92.712318 21142300 3.21195 3.46442
2021-04-01 96.25 100.510002 94.360001 99.449997 95.924263 19235300 -2.71700 -2.83244
2021-05-01 99.709999 101.099998 92.75 95.970001 93.207268 12839200 -1.40826 -1.51089
2021-06-01 96.5 97.639999 90.550003 94.519997 91.799011 14471400 4.77837 5.20525
2021-07-01 94.900002 104.889999 90.82 99.440002 96.577377 19174500 -0.44697 -0.46281
2021-08-01 100.07 101.599998 94.290001 98.309998 96.130409 11179500 -8.88847 -9.24626
2021-09-01 98.540001 100.949997 88.82 89.220001 87.241943 12414600 6.39501 7.33020
2021-10-01 89.279999 96.669998 86.050003 95.760002 93.636948 21783500 1.79636 1.91843
2021-11-01 95.879997 101.199997 92.07 96.910004 95.433311 14018700 4.79578 5.02527
2021-12-01 97.57 102.790001 95.099998 101.779999 100.229095 15703100 -9.15828 -9.13735
2022-01-01 102.220001 105.730003 85.970001 92.480003 91.070816 23010700 5.22820 5.74080
2022-02-01 92.75 105.129997 89.660004 97.050003 96.299011 27118900 -15.01293 -15.58991
2022-03-01 96.559998 97.550003 81.160004 81.919998 81.286079 31070000 6.09249 7.49512
2022-04-01 82.339996 92.519997 81.839996 88.059998 87.378571 26525300 -0.61857 -0.70792
2022-05-01 87.879997 94.220001 86.599998 86.760002 86.760002 14819400

S&P 500

Date Open High Low Close* Adj Close** Volume Monthly Returns Montly Return in %
1-Jun-17 2,415.65 2,453.82 2,405.70 2,423.41 2,423.41 81,002,490,000 46.89 1.934876888
1-Jul-17 2,431.39 2,484.04 2,407.70 2,470.30 2,470.30 63,169,400,000 1.35 0.054649233
1-Aug-17 2,477.10 2,490.87 2,417.35 2,471.65 2,471.65 70,616,030,000 47.71 1.930289483
1-Sep-17 2,474.42 2,519.44 2,446.55 2,519.36 2,519.36 66,337,980,000 55.90 2.218817477
1-Oct-17 2,521.20 2,582.98 2,520.40 2,575.26 2,575.26 70,871,570,000 72.32 2.808260137
1-Nov-17 2,583.21 2,657.74 2,557.45 2,647.58 2,647.58 73,173,260,000 26.03 0.983161982
1-Dec-17 2,645.10 2,694.97 2,605.52 2,673.61 2,673.61 65,251,190,000 150.20 5.617872465
1-Jan-18 2,683.73 2,872.87 2,682.36 2,823.81 2,823.81 76,860,120,000 -109.98 -3.89473796
1-Feb-18 2,816.45 2,835.96 2,532.69 2,713.83 2,713.83 79,579,410,000 -72.96 -2.688451377
1-Mar-18 2,715.22 2,801.90 2,585.89 2,640.87 2,640.87 76,369,800,000 7.18 0.2718801
1-Apr-18 2,633.45 2,717.49 2,553.80 2,648.05 2,648.05 69,648,590,000 57.22 2.160835332
1-May-18 2,642.96 2,742.24 2,594.62 2,705.27 2,705.27 75,617,280,000 13.10 0.48424002
1-Jun-18 2,718.70 2,791.47 2,691.99 2,718.37 2,718.37 77,439,710,000 97.92 3.602158647
1-Jul-18 2,704.95 2,848.03 2,698.95 2,816.29 2,816.29 64,542,170,000 85.23 3.026321863
1-Aug-18 2,821.17 2,916.50 2,796.34 2,901.52 2,901.52 69,238,220,000 12.46 0.429430092
1-Sep-18 2,896.96 2,940.91 2,864.12 2,913.98 2,913.98 62,492,080,000 -202.24 -6.940335898
1-Oct-18 2,926.29 2,939.86 2,603.54 2,711.74 2,711.74 91,327,930,000 48.43 1.78593818
1-Nov-18 2,717.58 2,815.15 2,631.09 2,760.17 2,760.17 80,080,110,000 -253.32 -9.177695577
1-Dec-18 2,790.50 2,800.18 2,346.58 2,506.85 2,506.85 83,522,570,000 197.25 7.868440473
1-Jan-19 2,476.96 2,708.95 2,443.96 2,704.10 2,704.10 80,401,630,000 80.39 2.972893014
1-Feb-19 2,702.32 2,813.49 2,681.83 2,784.49 2,784.49 70,183,430,000 49.91 1.792428775
1-Mar-19 2,798.22 2,860.31 2,722.27 2,834.40 2,834.40 78,596,280,000 111.43 3.931343494
1-Apr-19 2,848.63 2,949.52 2,848.63 2,945.83 2,945.83 69,604,840,000 -193.77 -6.577772648
1-May-19 2,952.33 2,954.13 2,750.52 2,752.06 2,752.06 76,860,120,000 189.70 6.893018321
1-Jun-19 2,751.53 2,964.15 2,728.81 2,941.76 2,941.76 70,904,280,000 38.62 1.312819537
1-Jul-19 2,971.41 3,027.98 2,952.22 2,980.38 2,980.38 70,349,470,000 -53.92 -1.809165274
1-Aug-19 2,980.32 3,013.59 2,822.12 2,926.46 2,926.46 79,599,440,000 50.28 1.718116769
1-Sep-19 2,909.01 3,021.99 2,891.85 2,976.74 2,976.74 73,992,330,000 60.82 2.043174748
1-Oct-19 2,983.69 3,050.10 2,855.94 3,037.56 3,037.56 77,564,550,000 103.42 3.404706409
1-Nov-19 3,050.72 3,154.26 3,050.72 3,140.98 3,140.98 72,179,920,000 89.80 2.858980318
1-Dec-19 3,143.85 3,247.93 3,070.33 3,230.78 3,230.78 72,054,000,000 -5.26 -0.162808981
1-Jan-20 3,244.67 3,337.77 3,214.64 3,225.52 3,225.52 77,104,420,000 -271.30 -8.411046901
1-Feb-20 3,235.66 3,393.52 2,855.84 2,954.22 2,954.22 84,292,270,000 -369.63 -12.51193208
1-Mar-20 2,974.28 3,136.72 2,191.86 2,584.59 2,584.59 161,801,100,000 327.84 12.68441029
1-Apr-20 2,498.08 2,954.86 2,447.49 2,912.43 2,912.43 123,163,450,000 131.88 4.528177501
1-May-20 2,869.09 3,068.67 2,766.64 3,044.31 3,044.31 106,799,100,000 55.98 1.838840328
1-Jun-20 3,038.78 3,233.13 2,965.66 3,100.29 3,100.29 131,044,000,000 170.83 5.510129698
1-Jul-20 3,105.92 3,279.99 3,101.17 3,271.12 3,271.12 97,197,020,000 229.19 7.006468732
1-Aug-20 3,288.26 3,514.77 3,284.53 3,500.31 3,500.31 84,402,300,000 -137.31 -3.92279541
1-Sep-20 3,507.44 3,588.11 3,209.45 3,363.00 3,363.00 92,084,120,000 -93.04 -2.766577461
1-Oct-20 3,385.87 3,549.85 3,233.94 3,269.96 3,269.96 89,737,600,000 351.67 10.75456581
1-Nov-20 3,296.20 3,645.99 3,279.74 3,621.63 3,621.63 100,977,880,000 134.44 3.712140666
1-Dec-20 3,645.87 3,760.20 3,633.40 3,756.07 3,756.07 96,056,410,000 -41.83 -1.113664016
1-Jan-21 3,764.61 3,870.90 3,662.71 3,714.24 3,714.24 105,548,790,000 96.91 2.609147497
1-Feb-21 3,731.17 3,950.43 3,725.62 3,811.15 3,811.15 98,596,960,000 161.74 4.243863401
1-Mar-21 3,842.51 3,994.41 3,723.34 3,972.89 3,972.89 120,863,560,000 208.28 5.242531256
1-Apr-21 3,992.78 4,218.78 3,992.78 4,181.17 4,181.17 82,869,290,000 22.94 0.548650258
1-May-21 4,191.98 4,238.04 4,056.88 4,204.11 4,204.11 75,155,370,000 93.39 2.221397632
1-Jun-21 4,216.52 4,302.43 4,164.40 4,297.50 4,297.50 85,705,180,000 97.76 2.274810937
1-Jul-21 4,300.73 4,429.97 4,233.13 4,395.26 4,395.26 66,496,430,000 127.42 2.899032139
1-Aug-21 4,406.86 4,537.36 4,367.73 4,522.68 4,522.68 63,217,960,000 -215.14 -4.756914042
1-Sep-21 4,528.80 4,545.85 4,305.91 4,307.54 4,307.54 66,268,850,000 297.84 6.91438733
1-Oct-21 4,317.16 4,608.08 4,278.94 4,605.38 4,605.38 61,874,700,000 -38.38 -0.833373142
1-Nov-21 4,610.62 4,743.83 4,560.00 4,567.00 4,567.00 67,520,800,000 199.18 4.361287497
1-Dec-21 4,602.82 4,808.93 4,495.12 4,766.18 4,766.18 68,699,830,000 -250.63 -5.258508911
1-Jan-22 4,778.14 4,818.62 4,222.62 4,515.55 4,515.55 73,279,440,000 -141.61 -3.136052087
1-Feb-22 4,519.57 4,595.31 4,114.65 4,373.94 4,373.94 73,167,790,000 156.47 3.577323877
1-Mar-22 4,363.14 4,637.30 4,157.87 4,530.41 4,530.41 100,978,320,000 -398.48 -8.795671915
1-Apr-22 4,540.32 4,593.45 4,124.28 4,131.93 4,131.93 74,784,850,000 -230.57 -5.58020102
1-May-22 4,130.61 4,307.66 3,810.32 3,901.36 3,901.36 64,796,810,000 0.00 0
######## 3,927.76 3,943.42 3,810.32 3,901.36 3,901.36 3,002,384,000
Adj Close Monthly Return in %
DATE S&P 500 HAS S&P 500 HAS
1-May-22 3,901.36 86.760002 -5.58% -0.71%
1-Apr-22 4,131.93 87.378571 -8.80% 7.50%
1-Mar-22 4,530.41 81.286079 3.58% -15.59%
1-Feb-22 4,373.94 96.299011 -3.14% 5.74%
1-Jan-22 4,515.55 91.070816 -5.26% -9.14%
1-Dec-21 4,766.18 ######## 4.36% 5.03%
1-Nov-21 4,567.00 95.433311 -0.83% 1.92%
1-Oct-21 4,605.38 93.636948 6.91% 7.33%
1-Sep-21 4,307.54 87.241943 -4.76% -9.25%
1-Aug-21 4,522.68 96.130409 2.90% -0.46%
1-Jul-21 4,395.26 96.577377 2.27% 5.21%
1-Jun-21 4,297.50 91.799011 2.22% -1.51%
1-May-21 4,204.11 93.207268 0.55% -2.83%
1-Apr-21 4,181.17 95.924263 5.24% 3.46%
1-Mar-21 3,972.89 92.712318 4.24% 3.32%
1-Feb-21 3,811.15 89.732643 2.61% -0.12%
1-Jan-21 3,714.24 89.837975 -1.11% 0.30%
1-Dec-20 3,756.07 89.569847 3.71% 0.55%
1-Nov-20 3,621.63 89.081505 10.75% 13.38%
1-Oct-20 3,269.96 78.566879 -2.77% 0.00%
1-Sep-20 3,363.00 78.566879 -3.92% 4.79%
1-Aug-20 3,500.31 74.976654 7.01% 9.51%
1-Jul-20 3,271.12 68.465851 5.51% -2.92%
1-Jun-20 3,100.29 70.526588 1.84% 1.96%
1-May-20 3,044.31 69.171577 4.53% 2.76%
1-Apr-20 2,912.43 67.314583 12.68% 0.92%
1-Mar-20 2,584.59 66.699318 -12.51% -7.38%
1-Feb-20 2,954.22 72.012878 -8.41% -23.67%
1-Jan-20 3,225.52 94.344597 -0.16% -3.54%
1-Dec-19 3,230.78 97.808334 2.86% 3.84%
1-Nov-19 3,140.98 94.187172 3.40% 5.23%
1-Oct-19 3,037.56 89.50425 2.04% -18.01%
1-Sep-19 2,976.74 109.16925 1.72% 7.44%
1-Aug-19 2,926.46 ######## -1.81% -8.32%
1-Jul-19 2,980.38 ######## 1.31% 14.65%
1-Jun-19 2,941.76 96.67144 6.89% 11.08%
1-May-19 2,752.06 87.029907 -6.58% -5.97%
1-Apr-19 2,945.83 92.554176 3.93% 19.81%
1-Mar-19 2,834.40 77.252655 1.79% 0.14%
1-Feb-19 2,784.49 77.143631 2.97% -5.60%
1-Jan-19 2,704.10 81.717171 7.87% 11.46%
1-Dec-18 2,506.85 73.316246 -9.18% -10.71%
1-Nov-18 2,760.17 82.114212 1.79% -0.09%
1-Oct-18 2,711.74 82.187195 -6.94% -12.76%
1-Sep-18 2,913.98 94.20475 0.43% 5.85%
1-Aug-18 2,901.52 88.998055 3.03% 0.34%
1-Jul-18 2,816.29 88.699982 3.60% 7.91%
1-Jun-18 2,718.37 82.199524 0.48% 6.41%
1-May-18 2,705.27 77.248505 2.16% -0.81%
1-Apr-18 2,648.05 77.876045 0.27% 4.50%
1-Mar-18 2,640.87 74.525497 -2.69% -11.79%
1-Feb-18 2,713.83 84.488731 -3.89% 1.67%
1-Jan-18 2,823.81 83.099182 5.62% 4.05%
1-Dec-17 2,673.61 79.865562 0.98% -2.29%
1-Nov-17 2,647.58 81.737183 2.81% 1.07%
1-Oct-17 2,575.26 80.873596 2.22% -5.20%
1-Sep-17 2,519.36 85.310768 1.93% -0.59%
1-Aug-17 2,471.65 85.81736 0.05% -6.71%
1-Jul-17 2,470.30 91.987541 1.93% -5.05%
1-Jun-17 2,423.41 96.878815
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.49835972
R Square 0.24836241
Adjusted R Square 0.23494031
Standard Error 0.07049137
Observations 58
ANOVA
df SS MS F Significance F
Regression 1 0.09194695 0.09194695 18.5039908 6.859E-05
Residual 56 0.27826588 0.00496903
Total 57 0.37021283
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -0.00715 0.00947276 -0.7547956 0.45353435 -0.0261262 0.01182622 -0.0261262 0.01182622
-0.055802 0.83405879 0.19389382 4.30162653 6.859E-05 0.4456428 1.22247478 0.4456428 1.22247478

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