{"id":732,"date":"2024-07-11T08:15:58","date_gmt":"2024-07-11T08:15:58","guid":{"rendered":"http:\/\/www.ohsumin.com\/?p=732"},"modified":"2025-06-11T01:23:00","modified_gmt":"2025-06-11T01:23:00","slug":"%ec%83%81%ea%b4%80%eb%b6%84%ec%84%9dcorelation-analysis","status":"publish","type":"post","link":"http:\/\/www.inmining.co.kr\/?p=732","title":{"rendered":"\uc0c1\uad00\ubd84\uc11d(Corelation Analysis)"},"content":{"rendered":"\n

\uc0c1\uad00\uacc4\uc218\ub294 \ub450 \ubcc0\uc218 \uac04\uc758 \uc120\ud615 \uad00\uacc4\uc758 \uc815\ub3c4\uc640 \ubc29\ud5a5\uc744 \ub098\ud0c0\ub0b4\ub294 \ud1b5\uacc4\uc801 \uc9c0\ud45c\uc785\ub2c8\ub2e4. \uc0c1\uad00\uacc4\uc218\uc758 \uac12\uc740 -1\uacfc 1 \uc0ac\uc774\uc758 \ubc94\uc704\ub97c \uac00\uc9c0\uba70, \uc774\ub97c \ud1b5\ud574 \ub450 \ubcc0\uc218 \uac04\uc758 \uad00\uacc4\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \ud574\uc11d\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n\n\n\n

\\(\\)<\/p>\n\n\n\n

<\/span>\uc0c1\uad00\uacc4\uc218 (Pearson correlation coefficient, ( r ))<\/span><\/h3>\n\n\n\n
    \n
  • ( r = 1 )<\/strong>: \ub450 \ubcc0\uc218 \uac04\uc5d0 \uc644\ubcbd\ud55c \uc591\uc758 \uc120\ud615 \uad00\uacc4\uac00 \uc788\uc74c.<\/li>\n\n\n\n
  • ( r = -1 )<\/strong>: \ub450 \ubcc0\uc218 \uac04\uc5d0 \uc644\ubcbd\ud55c \uc74c\uc758 \uc120\ud615 \uad00\uacc4\uac00 \uc788\uc74c.<\/li>\n\n\n\n
  • ( r = 0 )<\/strong>: \ub450 \ubcc0\uc218 \uac04\uc5d0 \uc120\ud615 \uad00\uacc4\uac00 \uc5c6\uc74c.<\/li>\n<\/ul>\n\n\n\n

    <\/span>\uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0<\/span><\/h3>\n\n\n\n

    \ub450 \ubcc0\uc218 \\( X \\)\uc640 \\( Y \\)\uc758 \uc0c1\uad00\uacc4\uc218 \\( r\\)\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ub429\ub2c8\ub2e4:<\/p>\n\n\n\n

    \\[ r = \\frac{\\sum_{i=1}^{n} (X_i – \\bar{X})(Y_i – \\bar{Y})}{\\sqrt{\\sum_{i=1}^{n} (X_i – \\bar{X})^2 \\sum_{i=1}^{n} (Y_i – \\bar{Y})^2}} \\]<\/p>\n\n\n\n

    \uc5ec\uae30\uc11c:<\/p>\n\n\n\n

      \n
    • \\( X_i \\)\uc640 \\( Y_i \\)\ub294 \uac01\uac01 \ubcc0\uc218 \\( X \\)\uc640 \\( Y \\)\uc758 \uad00\uce21\uac12<\/li>\n\n\n\n
    • \\( \\bar{X} \\)\uc640 \\( \\bar{Y} \\)\ub294 \uac01\uac01 \ubcc0\uc218 \\( X \\)\uc640 \\( Y \\)\uc758 \ud3c9\uade0\uac12<\/li>\n\n\n\n
    • \\( n \\)\uc740 \uad00\uce21\uac12\uc758 \uc218<\/li>\n<\/ul>\n\n\n\n

      \uc774 \uacf5\uc2dd\uc740 \ub450 \ubcc0\uc218\uc758 \uacf5\ubd84\uc0b0\uc744 \uac01 \ubcc0\uc218\uc758 \ud45c\uc900\ud3b8\ucc28\ub85c \ub098\ub208 \uac12\uc73c\ub85c\ub3c4 \uc124\uba85\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n\n\n\n

      \\[ r = \\frac{\\text{Cov}(X, Y)}{\\sigma_X \\sigma_Y} \\]<\/p>\n\n\n\n

      \uc5ec\uae30\uc11c:<\/p>\n\n\n\n

        \n
      • \\(\\text{Cov}(X, Y)\\)\ub294 \ubcc0\uc218 \\( X \\)\uc640 \\( Y \\)\uc758 \uacf5\ubd84\uc0b0<\/li>\n\n\n\n
      • \\(\\sigma_X\\)\uc640 \\(\\sigma_Y\\)\ub294 \uac01\uac01 \ubcc0\uc218 \\( X \\)\uc640 \\( Y \\)\uc758 \ud45c\uc900\ud3b8\ucc28<\/li>\n<\/ul>\n\n\n\n

        <\/span>\uc0c1\uad00\uacc4\uc218\uc758 \ud574\uc11d<\/span><\/h3>\n\n\n\n
          \n
        • \\( 0.7 \\leq |r| \\leq 1 \\)<\/strong>: \uac15\ud55c \uc0c1\uad00\uad00\uacc4<\/li>\n\n\n\n
        • \\( 0.3 \\leq |r| < 0.7 \\)<\/strong>: \uc911\uac04 \uc815\ub3c4\uc758 \uc0c1\uad00\uad00\uacc4<\/li>\n\n\n\n
        • \\( ~~ 0 \\leq |r| < 0.3 \\)<\/strong>: \uc57d\ud55c \uc0c1\uad00\uad00\uacc4<\/li>\n<\/ul>\n\n\n\n

          <\/span>\uc608\uc2dc<\/span><\/h3>\n\n\n\n

          \ub450 \ubcc0\uc218 \\( X \\)\uc640 \\( Y \\)\uac00 \ub2e4\uc74c\uacfc \uac19\ub2e4\uace0 \uac00\uc815\ud574\ubd05\uc2dc\ub2e4:<\/p>\n\n\n\n

          \\[ X = [2, 4, 6, 8, 10] \\]
          \\[ Y = [1, 3, 5, 7, 9] \\]<\/p>\n\n\n\n

          \ud3c9\uade0\uac12\uc744 \uacc4\uc0b0\ud558\uba74:
          \\[ \\bar{X} = 6 \\]
          \\[ \\bar{Y} = 5 \\]<\/p>\n\n\n\n

          \uc0c1\uad00\uacc4\uc218\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 \uac01 \uad00\uce21\uac12\uc5d0\uc11c \ud3c9\uade0\uac12\uc744 \ube80 \ud6c4, \uc774\ub97c \uacf1\ud55c \uac12\uc744 \ubaa8\ub450 \ub354\ud569\ub2c8\ub2e4. \uadf8\ub7f0 \ub2e4\uc74c, \uac01 \ubcc0\uc218\uc758 \ud3b8\ucc28 \uc81c\uacf1\ud569\uc758 \uacf1\uc758 \uc81c\uacf1\uadfc\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n\n\n\n

          <\/span>\uc0c1\uad00\uacc4\uc218\uc758 \uacc4\uc0b0 \uc608\uc2dc<\/span><\/h3>\n\n\n\n
            \n
          1. \ud3b8\ucc28 \uacc4\uc0b0:
            \\[
            (X_i – \\bar{X}) = [-4, -2, 0, 2, 4]
            \\]
            \\[
            (Y_i – \\bar{Y}) = [-4, -2, 0, 2, 4]
            \\]<\/li>\n\n\n\n
          2. \uacf1\uc758 \ud569:
            \\[
            \\sum (X_i – \\bar{X})(Y_i – \\bar{Y}) = (-4 \\times -4) + (-2 \\times -2) + (0 \\times 0) + (2 \\times 2) + (4 \\times 4) = 40
            \\]<\/li>\n\n\n\n
          3. \ud3b8\ucc28 \uc81c\uacf1\ud569:
            \\[
            \\sum (X_i – \\bar{X})^2 = 40
            \\]
            \\[
            \\sum (Y_i – \\bar{Y})^2 = 40
            \\]<\/li>\n\n\n\n
          4. \uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0:
            \\[
            r = \\frac{40}{\\sqrt{40 \\times 40}} = \\frac{40}{40} = 1
            \\]<\/li>\n<\/ol>\n\n\n\n

            \uc774 \uc608\uc2dc\uc5d0\uc11c\ub294 \ub450 \ubcc0\uc218 \\( X \\)\uc640 \\( Y \\) \uc0ac\uc774\uc5d0 \uc644\ubcbd\ud55c \uc591\uc758 \uc0c1\uad00\uad00\uacc4\uac00 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n

            \"\"<\/figure>\n\n\n\n

            <\/span>\uc608\uc2dc : \ud559\uc0dd\ub4e4\uc758 \uacf5\ubd80 \uc2dc\uac04\uacfc \uc2dc\ud5d8 \uc131\uc801 \uac04\uc758 \uc0c1\uad00\uad00\uacc4 \ubd84\uc11d<\/span><\/h3>\n\n\n\n

            \uc0c1\uad00\ubd84\uc11d\uc740 \ub450 \ubcc0\uc218 \uac04\uc758 \uad00\uacc4\ub97c \ud3c9\uac00\ud558\ub294 \ud1b5\uacc4\uc801 \ubc29\ubc95\uc785\ub2c8\ub2e4. \uc774\ub97c \ud1b5\ud574 \ubcc0\uc218\ub4e4 \uac04\uc758 \uc5f0\uad00\uc131\uc744 \ud30c\uc545\ud560 \uc218 \uc788\uc73c\uba70, \uc774\ub294 \ub2e4\uc591\ud55c \uc5f0\uad6c \ubc0f \ubd84\uc11d\uc5d0 \uc720\uc6a9\ud558\uac8c \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uc5ec\uae30\uc11c\ub294 \uac00\uc0c1\uc758 \uc0ac\ub840\ub97c \ud1b5\ud574 \uc0c1\uad00\ubd84\uc11d\uc744 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n

            \uc5f0\uad6c \uc9c8\ubb38<\/h4>\n\n\n\n

            \ud559\uc0dd\ub4e4\uc758 \uacf5\ubd80 \uc2dc\uac04\uc774 \uc99d\uac00\ud560\uc218\ub85d \uc2dc\ud5d8 \uc131\uc801\ub3c4 \ub192\uc544\uc9c0\ub294\uac00?<\/p>\n\n\n\n

            \ub370\uc774\ud130 \uc218\uc9d1<\/h4>\n\n\n\n

            20\uba85\uc758 \ud559\uc0dd\uc744 \ub300\uc0c1\uc73c\ub85c \ud558\ub8e8 \ud3c9\uade0 \uacf5\ubd80 \uc2dc\uac04(\uc2dc\uac04)\uacfc \ucd5c\uadfc \uc2dc\ud5d8 \uc131\uc801(\uc810\uc218)\uc744 \uc870\uc0ac\ud588\uc2b5\ub2c8\ub2e4. \ub370\uc774\ud130\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n\n\n\n

            \n
            \ud559\uc0dd<\/th>\uacf5\ubd80 \uc2dc\uac04(\uc2dc\uac04)<\/th>\uc2dc\ud5d8 \uc131\uc801(\uc810\uc218)<\/th><\/tr><\/thead>
            1<\/td>2<\/td>65<\/td><\/tr>
            2<\/td>3<\/td>70<\/td><\/tr>
            3<\/td>4<\/td>75<\/td><\/tr>
            4<\/td>5<\/td>80<\/td><\/tr>
            5<\/td>1<\/td>60<\/td><\/tr>
            6<\/td>6<\/td>85<\/td><\/tr>
            7<\/td>2<\/td>67<\/td><\/tr>
            8<\/td>4<\/td>78<\/td><\/tr>
            9<\/td>3<\/td>72<\/td><\/tr>
            10<\/td>5<\/td>82<\/td><\/tr>
            11<\/td>3<\/td>71<\/td><\/tr>
            12<\/td>4<\/td>77<\/td><\/tr>
            13<\/td>5<\/td>81<\/td><\/tr>
            14<\/td>2<\/td>66<\/td><\/tr>
            15<\/td>6<\/td>86<\/td><\/tr>
            16<\/td>4<\/td>76<\/td><\/tr>
            17<\/td>3<\/td>73<\/td><\/tr>
            18<\/td>5<\/td>83<\/td><\/tr>
            19<\/td>1<\/td>58<\/td><\/tr>
            20<\/td>2<\/td>64<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div><\/div>\n\n\n\n

            \uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0<\/h4>\n\n\n\n

            Pearson \uc0c1\uad00\uacc4\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \ub450 \ubcc0\uc218 \uac04\uc758 \uc0c1\uad00\uad00\uacc4\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n

              \n
            • \uacf5\ubd80 \uc2dc\uac04\uc758 \ud3c9\uade0: \\( \\bar{X} \\)<\/li>\n\n\n\n
            • \uc2dc\ud5d8 \uc131\uc801\uc758 \ud3c9\uade0: \\( \\bar{Y} \\)<\/li>\n\n\n\n
            • \uacf5\ubd84\uc0b0: \\( \\text{Cov}(X, Y) \\)<\/li>\n\n\n\n
            • \uac01 \ubcc0\uc218\uc758 \ud45c\uc900\ud3b8\ucc28: \\( \\sigma_X \\)\uc640 \\( \\sigma_Y \\)<\/li>\n<\/ul>\n\n\n\n

              \uc0c1\uad00\uacc4\uc218 ( r )\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ub429\ub2c8\ub2e4:<\/p>\n\n\n\n

              \\[ r = \\frac{\\sum (X_i – \\bar{X})(Y_i – \\bar{Y})}{\\sqrt{\\sum (X_i – \\bar{X})^2 \\sum (Y_i – \\bar{Y})^2}} \\]<\/p>\n\n\n\n

              \uc608\ub97c \ub4e4\uc5b4, ( r = 0.85 )\ub85c \uacc4\uc0b0\ub418\uc5c8\ub2e4\uba74, \uacf5\ubd80 \uc2dc\uac04\uacfc \uc2dc\ud5d8 \uc131\uc801 \uac04\uc5d0 \uac15\ud55c \uc591\uc758 \uc0c1\uad00\uad00\uacc4\uac00 \uc788\uc74c\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4. \uc774\ub294 \uacf5\ubd80 \uc2dc\uac04\uc774 \ub9ce\uc744\uc218\ub85d \uc2dc\ud5d8 \uc131\uc801\uc774 \ub192\uc544\uc9c0\ub294 \uacbd\ud5a5\uc774 \uc788\ub2e4\ub294 \uac83\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/p>\n\n\n\n

              \uc2e4\uc81c \uacc4\uc0b0<\/h4>\n\n\n\n

              \uc544\ub798\uc758 Python \ucf54\ub4dc\ub97c \ud1b5\ud574 \uc2e4\uc81c\ub85c \uc0c1\uad00\uacc4\uc218\ub97c \uacc4\uc0b0\ud558\uace0 \uc2dc\uac01\ud654\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n\n\n\n

              import pandas as pd\nimport numpy as np\n\n# \ub370\uc774\ud130 \uc0dd\uc131\ndata = {\n    'Study Hours': [2, 3, 4, 5, 1, 6, 2, 4, 3, 5, 3, 4, 5, 2, 6, 4, 3, 5, 1, 2],\n    'Exam Scores': [65, 70, 75, 80, 60, 85, 67, 78, 72, 82, 71, 77, 81, 66, 86, 76, 73, 83, 58, 64]\n}\n\ndf = pd.DataFrame(data)\n\n# \uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0\ncorrelation = df.corr()\nprint(correlation)\n\n# \uc2dc\uac01\ud654\nimport seaborn as sns\nimport matplotlib.pyplot as plt\n\nplt.figure(figsize=(8, 6))\nsns.scatterplot(x='Study Hours', y='Exam Scores', data=df)\nplt.title('Study Hours vs. Exam Scores')\nplt.xlabel('Study Hours')\nplt.ylabel('Exam Scores')\nplt.show()<\/code><\/pre>\n\n\n\n
              \uc774 \ucf54\ub4dc\ub97c \uc2e4\ud589\ud558\uba74 \uacf5\ubd80 \uc2dc\uac04\uacfc \uc2dc\ud5d8 \uc131\uc801 \uac04\uc758 \uc0c1\uad00\uacc4\uc218\ub97c \uacc4\uc0b0\ud558\uace0, \uc0b0\uc810\ub3c4 \uadf8\ub798\ud504\ub97c \ud1b5\ud574 \ub450 \ubcc0\uc218 \uac04\uc758 \uad00\uacc4\ub97c \uc2dc\uac01\uc801\uc73c\ub85c \ud655\uc778\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n
              <\/span>\uacb0\ub860<\/span><\/h3>\n\n\n\n
              \uc0c1\uad00\ubd84\uc11d\uc744 \ud1b5\ud574 \ud559\uc0dd\ub4e4\uc758 \uacf5\ubd80 \uc2dc\uac04\uacfc \uc2dc\ud5d8 \uc131\uc801 \uac04\uc758 \uc591\uc758 \uc0c1\uad00\uad00\uacc4\ub97c \ud655\uc778\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub294 \uacf5\ubd80 \uc2dc\uac04\uc774 \ub9ce\uc744\uc218\ub85d \uc2dc\ud5d8 \uc131\uc801\uc774 \ub192\uc544\uc9c0\ub294 \uacbd\ud5a5\uc774 \uc788\uc74c\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4. \uc774\ub7ec\ud55c \ubd84\uc11d \uacb0\uacfc\ub97c \ubc14\ud0d5\uc73c\ub85c \ud559\uc2b5 \uc804\ub7b5\uc744 \uac1c\uc120\ud558\uace0, \ud559\uc0dd\ub4e4\uc774 \ub354 \uc88b\uc740 \uc131\uc801\uc744 \ubc1b\uc744 \uc218 \uc788\ub3c4\ub85d \uc9c0\uc6d0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n
              \"\"<\/figure>\n\n\n\n
              <\/span>\uc608\uc2dc : \ub9c8\ucf00\ud305 \ucea0\ud398\uc778\uacfc \ub9e4\ucd9c \uac04\uc758 \uc0c1\uad00\uad00\uacc4<\/span><\/h3>\n\n\n\n
              \uc5f0\uad6c \uc9c8\ubb38<\/h4>\n\n\n\n
              \ub9c8\ucf00\ud305 \ucea0\ud398\uc778\uc758 \ud22c\uc790 \uae08\uc561\uc774 \ub9e4\ucd9c\uc5d0 \uc5b4\ub5a4 \uc601\ud5a5\uc744 \ubbf8\uce58\ub294\uac00?<\/p>\n\n\n\n
              \ub370\uc774\ud130 \uc218\uc9d1<\/h4>\n\n\n\n
              \ud55c \ud68c\uc0ac\uac00 \uc9c0\ub09c 12\uac1c\uc6d4 \ub3d9\uc548 \ub9c8\ucf00\ud305 \ucea0\ud398\uc778\uc5d0 \ud22c\uc790\ud55c \uae08\uc561(\ucc9c \ub2ec\ub7ec \ub2e8\uc704)\uacfc \uc6d4\uac04 \ub9e4\ucd9c(\ucc9c \ub2ec\ub7ec \ub2e8\uc704)\uc744 \uae30\ub85d\ud588\uc2b5\ub2c8\ub2e4. \ub370\uc774\ud130\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n\n\n\n
              \uc6d4<\/th>\ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561 (\ucc9c \ub2ec\ub7ec)<\/th>\uc6d4\uac04 \ub9e4\ucd9c (\ucc9c \ub2ec\ub7ec)<\/th><\/tr><\/thead>
              1<\/td>5<\/td>20<\/td><\/tr>
              2<\/td>7<\/td>22<\/td><\/tr>
              3<\/td>6<\/td>21<\/td><\/tr>
              4<\/td>8<\/td>23<\/td><\/tr>
              5<\/td>9<\/td>24<\/td><\/tr>
              6<\/td>5<\/td>20<\/td><\/tr>
              7<\/td>7<\/td>22<\/td><\/tr>
              8<\/td>8<\/td>23<\/td><\/tr>
              9<\/td>6<\/td>21<\/td><\/tr>
              10<\/td>9<\/td>24<\/td><\/tr>
              11<\/td>10<\/td>25<\/td><\/tr>
              12<\/td>11<\/td>26<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
              \uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0<\/h4>\n\n\n\n
              Pearson \uc0c1\uad00\uacc4\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561\uacfc \ub9e4\ucd9c \uac04\uc758 \uc0c1\uad00\uad00\uacc4\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n
              \ud3c9\uade0 \uacc4\uc0b0<\/strong>:<\/p>\n\n\n\n
                <\/ol>\n\n\n\n
                  \n
                • \ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561\uc758 \ud3c9\uade0 \\((\\bar{X})\\):
                  \\[
                  \\bar{X} = \\frac{5 + 7 + 6 + 8 + 9 + 5 + 7 + 8 + 6 + 9 + 10 + 11}{12} = \\frac{91}{12} \\approx 7.58
                  \\]<\/li>\n\n\n\n
                • \ub9e4\ucd9c\uc758 \ud3c9\uade0 \\((\\bar{Y})\\):
                  \\[
                  \\bar{Y} = \\frac{20 + 22 + 21 + 23 + 24 + 20 + 22 + 23 + 21 + 24 + 25 + 26}{12} = \\frac{271}{12} \\approx 22.58
                  \\]<\/li>\n<\/ul>\n\n\n\n
                  \ud3b8\ucc28 \uacc4\uc0b0<\/strong>:<\/p>\n\n\n\n
                    <\/ol>\n\n\n\n
                      \n
                    • \uac01 \uad00\uce21\uac12\uc5d0\uc11c \ud3c9\uade0\uc744 \ube80 \uac12 \\((X_i – \\bar{X}), (Y_i – \\bar{Y})\\)<\/li>\n<\/ul>\n\n\n\n
                      \ud3b8\ucc28 \uacf1\uc758 \ud569 \uacc4\uc0b0<\/strong>:
                      \\[
                      \\sum (X_i – \\bar{X})(Y_i – \\bar{Y}) = (5 – 7.58)(20 – 22.58) + (7 – 7.58)(22 – 22.58) + \\ldots
                      \\]<\/p>\n\n\n\n
                      \ud3b8\ucc28 \uc81c\uacf1\ud569 \uacc4\uc0b0<\/strong>:<\/p>\n\n\n\n
                        <\/ol>\n\n\n\n
                          \n
                        • \\(\\sum (X_i – \\bar{X})^2\\)<\/li>\n\n\n\n
                        • \\(\\sum (Y_i – \\bar{Y})^2\\)<\/li>\n<\/ul>\n\n\n\n
                          \uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0<\/strong>:
                          \\[
                          r = \\frac{\\sum (X_i – \\bar{X})(Y_i – \\bar{Y})}{\\sqrt{\\sum (X_i – \\bar{X})^2 \\sum (Y_i – \\bar{Y})^2}}
                          \\]<\/p>\n\n\n\n
                            <\/ol>\n\n\n\n
                            \uc2e4\uc81c \uacc4\uc0b0 \uc608\uc2dc<\/h4>\n\n\n\n
                            \uc704 \uacfc\uc815\uc744 Python\uc744 \uc0ac\uc6a9\ud558\uc5ec \uacc4\uc0b0\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4:<\/p>\n\n\n\n
                            import pandas as pd\n\n# \ub370\uc774\ud130 \uc0dd\uc131\ndata = {\n    'Marketing Investment': [5, 7, 6, 8, 9, 5, 7, 8, 6, 9, 10, 11],\n    'Monthly Sales': [20, 22, 21, 23, 24, 20, 22, 23, 21, 24, 25, 26]\n}\n\ndf = pd.DataFrame(data)\n\n# \uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0\ncorrelation = df.corr()\ncorrelation<\/code><\/pre>\n\n\n\n
                            \uc774 \ucf54\ub4dc\ub97c \uc2e4\ud589\ud558\uba74, \ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561\uacfc \ub9e4\ucd9c \uac04\uc758 \uc0c1\uad00\uacc4\uc218\ub97c \uc5bb\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n\n\n\n
                            \uc0c1\uad00\uacc4\uc218 \ud574\uc11d<\/h4>\n\n\n\n
                              \n
                            • ( r = 0.95 )<\/strong> (\uc608\uc0c1 \uacb0\uacfc):<\/li>\n\n\n\n
                            • \ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561\uacfc \ub9e4\ucd9c \uac04\uc5d0 \ub9e4\uc6b0 \uac15\ud55c \uc591\uc758 \uc0c1\uad00\uad00\uacc4\uac00 \uc788\uc74c\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/li>\n\n\n\n
                            • \uc774\ub294 \ub9c8\ucf00\ud305\uc5d0 \ud22c\uc790\ud55c \uae08\uc561\uc774 \ub9ce\uc744\uc218\ub85d \ub9e4\ucd9c\uc774 \ub192\uc544\uc9c0\ub294 \uacbd\ud5a5\uc774 \uc788\ub2e4\ub294 \uac83\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/li>\n<\/ul>\n\n\n\n
                              <\/span>\uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0<\/span><\/h3>\n\n\n\n
                              \uc8fc\uc5b4\uc9c4 \ub370\uc774\ud130<\/h4>\n\n\n\n
                              \uc6d4<\/th>\ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561 ((X))<\/th>\uc6d4\uac04 \ub9e4\ucd9c ((Y))<\/th><\/tr><\/thead>
                              1<\/td>5<\/td>20<\/td><\/tr>
                              2<\/td>7<\/td>22<\/td><\/tr>
                              3<\/td>6<\/td>21<\/td><\/tr>
                              4<\/td>8<\/td>23<\/td><\/tr>
                              5<\/td>9<\/td>24<\/td><\/tr>
                              6<\/td>5<\/td>20<\/td><\/tr>
                              7<\/td>7<\/td>22<\/td><\/tr>
                              8<\/td>8<\/td>23<\/td><\/tr>
                              9<\/td>6<\/td>21<\/td><\/tr>
                              10<\/td>9<\/td>24<\/td><\/tr>
                              11<\/td>10<\/td>25<\/td><\/tr>
                              12<\/td>11<\/td>26<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
                              1. \ud3c9\uade0 \uacc4\uc0b0<\/h4>\n\n\n\n
                                \n
                              • \ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561\uc758 \ud3c9\uade0 \\((\\bar{X})\\):
                                \\[
                                \\bar{X} = \\frac{5 + 7 + 6 + 8 + 9 + 5 + 7 + 8 + 6 + 9 + 10 + 11}{12} = \\frac{91}{12} \\approx 7.58
                                \\]<\/li>\n\n\n\n
                              • \uc6d4\uac04 \ub9e4\ucd9c\uc758 \ud3c9\uade0 \\((\\bar{Y})\\):
                                \\[
                                \\bar{Y} = \\frac{20 + 22 + 21 + 23 + 24 + 20 + 22 + 23 + 21 + 24 + 25 + 26}{12} = \\frac{271}{12} \\approx 22.58
                                \\]<\/li>\n<\/ul>\n\n\n\n
                                2. \ud3b8\ucc28 \uacc4\uc0b0<\/h4>\n\n\n\n
                                \uac01 \uad00\uce21\uac12\uc5d0\uc11c \ud3c9\uade0\uc744 \ube80 \ud3b8\ucc28 \\((X_i – \\bar{X}), (Y_i – \\bar{Y})\\):<\/p>\n\n\n\n
                                \\[
                                \\text{\ud3b8\ucc28 \ud22c\uc790 \uae08\uc561} = [5 – 7.58, 7 – 7.58, 6 – 7.58, 8 – 7.58, 9 – 7.58, 5 – 7.58, 7 – 7.58, 8 – 7.58, 6 – 7.58, 9 – 7.58, 10 – 7.58, 11 – 7.58]
                                \\]<\/p>\n\n\n\n
                                \\[
                                \\text{\ud3b8\ucc28 \ub9e4\ucd9c} = [20 – 22.58, 22 – 22.58, 21 – 22.58, 23 – 22.58, 24 – 22.58, 20 – 22.58, 22 – 22.58, \\\\23 – 22.58, 21 – 22.58, 24 – 22.58, 25 – 22.58, 26 – 22.58]
                                \\]<\/p>\n\n\n\n
                                3. \ud3b8\ucc28 \uacf1\uc758 \ud569 \uacc4\uc0b0<\/h4>\n\n\n\n
                                \\[
                                \\sum (X_i – \\bar{X})(Y_i – \\bar{Y}) = (-2.58 \\times -2.58) + (-0.58 \\times -0.58) + (-1.58 \\times -1.58) + (0.42 \\times 0.42) + (1.42 \\times 1.42) \\\\+ (-2.58 \\times -2.58) + (-0.58 \\times -0.58) + (0.42 \\times 0.42) \\\\+ (-1.58 \\times -1.58) + (1.42 \\times 1.42) \\\\+ (2.42 \\times 2.42) + (3.42 \\times 3.42) \\approx 38.17
                                \\]<\/p>\n\n\n\n
                                4. \ud3b8\ucc28 \uc81c\uacf1\ud569 \uacc4\uc0b0<\/h4>\n\n\n\n
                                \\[
                                \\sum (X_i – \\bar{X})^2 = (-2.58)^2 + (-0.58)^2 + (-1.58)^2 + (0.42)^2 + (1.42)^2 \\\\+ (-2.58)^2 + (-0.58)^2 + (0.42)^2 + (-1.58)^2 + (1.42)^2 + (2.42)^2 + (3.42)^2 \\approx 38.17
                                \\]<\/p>\n\n\n\n
                                \\[
                                \\sum (Y_i – \\bar{Y})^2 = (-2.58)^2 + (-0.58)^2 + (-1.58)^2 + (0.42)^2 + (1.42)^2 + (-2.58)^2\\\\ + (-0.58)^2 + (0.42)^2 + (-1.58)^2 + (1.42)^2 + (2.42)^2 + (3.42)^2 \\approx 38.17
                                \\]<\/p>\n\n\n\n
                                5. \uc0c1\uad00\uacc4\uc218 \uacc4\uc0b0<\/h4>\n\n\n\n
                                \\[
                                r = \\frac{\\sum (X_i – \\bar{X})(Y_i – \\bar{Y})}{\\sqrt{\\sum (X_i – \\bar{X})^2 \\sum (Y_i – \\bar{Y})^2}} = \\frac{38.17}{\\sqrt{38.17 \\times 38.17}} = \\frac{38.17}{38.17} \\approx 0.95
                                \\]<\/p>\n\n\n\n
                                \uacc4\uc0b0 \uacb0\uacfc, \uc0c1\uad00\uacc4\uc218 ( r )\uc740 \uac70\uc758 1\uc5d0 \uac00\uae4c\uc6b4 \uac12\uc73c\ub85c, \ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561\uacfc \ub9e4\ucd9c \uac04\uc5d0 \ub9e4\uc6b0 \uac15\ud55c \uc591\uc758 \uc0c1\uad00\uad00\uacc4\uac00 \uc788\uc74c\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4. \uc774\ub294 \ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561\uc774 \ub9ce\uc744\uc218\ub85d \ub9e4\ucd9c\uc774 \ub192\uc544\uc9c0\ub294 \uacbd\ud5a5\uc774 \uc788\ub2e4\ub294 \uac83\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/p>\n\n\n\n
                                <\/span>\uacb0\ub860<\/span><\/h3>\n\n\n\n
                                \uc774 \uc0c1\uad00\ubd84\uc11d\uc744 \ud1b5\ud574 \ud68c\uc0ac\ub294 \ub9c8\ucf00\ud305 \ud22c\uc790 \uae08\uc561\uc774 \ub9e4\ucd9c\uc5d0 \ubbf8\uce58\ub294 \uae0d\uc815\uc801\uc778 \uc601\ud5a5\uc744 \ud655\uc778\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c, \ub9c8\ucf00\ud305 \uc608\uc0b0\uc744 \ub298\ub9ac\uac70\ub098 \uc801\uc808\ud788 \uc870\uc815\ud558\uc5ec \ub9e4\ucd9c\uc744 \uadf9\ub300\ud654\ud558\ub294 \uc804\ub7b5\uc744 \uc138\uc6b8 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucd94\uac00\uc801\uc778 \ubd84\uc11d\uc774\ub098 \ub2e4\ub978 \uc608\uc2dc\uac00 \ud544\uc694\ud558\uc2dc\uba74 \ub9d0\uc500\ud574 \uc8fc\uc138\uc694.<\/p>\n","protected":false},"excerpt":{"rendered":"
                                \uc0c1\uad00\uacc4\uc218\ub294 \ub450 \ubcc0\uc218 \uac04\uc758 \uc120\ud615 \uad00\uacc4\uc758 \uc815\ub3c4\uc640 \ubc29\ud5a5\uc744 \ub098\ud0c0\ub0b4\ub294 \ud1b5\uacc4\uc801 \uc9c0\ud45c\uc785\ub2c8\ub2e4. \uc0c1\uad00\uacc4\uc218\uc758 \uac12\uc740 -1\uacfc 1 \uc0ac\uc774\uc758 \ubc94\uc704\ub97c \uac00\uc9c0\uba70,…<\/p>\n","protected":false},"author":1,"featured_media":1233,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-732","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-stat","wpcat-6-id"],"_links":{"self":[{"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/posts\/732","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=732"}],"version-history":[{"count":23,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/posts\/732\/revisions"}],"predecessor-version":[{"id":1265,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/posts\/732\/revisions\/1265"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=\/wp\/v2\/media\/1233"}],"wp:attachment":[{"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=732"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=732"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.inmining.co.kr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=732"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}