{"id":1109,"date":"2020-08-06T03:32:08","date_gmt":"2020-08-05T20:32:08","guid":{"rendered":"http:\/\/www.miai.vn\/?p=1109"},"modified":"2020-08-06T03:32:08","modified_gmt":"2020-08-05T20:32:08","slug":"da-ds-trien-khai-mo-hinh-du-bao-don-gian-chuong-2-2","status":"publish","type":"post","link":"https:\/\/miai.vn\/?p=1109","title":{"rendered":"[DA-DS] Tri\u1ec3n khai m\u00f4 h\u00ecnh d\u1ef1 b\u00e1o \u0111\u01a1n gi\u1ea3n (Ch\u01b0\u01a1ng 2\/2)"},"content":{"rendered":"\n<p>B\u00e0i 4 ph\u1ea7n 1 h\u00f4m tr\u01b0\u1edbc ch\u00fang ta \u0111\u00e3 \u0111i qua 2 b\u01b0\u1edbc s\u1ed1 1 v\u00e0 2 v\u1ec1 vi\u1ec7c chu\u1ea9n b\u1ecb bi\u1ebfn v\u00e0 \u0111\u00e3 l\u1ef1a ch\u1ecdn \u0111\u01b0\u1ee3c m\u1ed9t s\u1ed1 th\u00f4ng tin h\u1eefu \u00edch nh\u01b0 l\u00e0 Bi\u1ebfn ph\u1ee5 thu\u1ed9c t\u1ef7 l\u1ec7 n\u1ee3 x\u1ea5u NPL c\u00f3 quan h\u1ec7 cao nh\u1ea5t v\u1edbi Bi\u1ebfn kinh t\u1ebf v\u0129 m\u00f4 GDP.<\/p>\n\n\n\n<p>H\u00f4m nay ch\u00fang ta s\u1ebd \u0111i ti\u1ebfp c\u00e1c b\u01b0\u1edbc c\u00f2n l\u1ea1i trong vi\u1ec7c tri\u1ec3n khai m\u1ed9t m\u00f4 h\u00ecnh d\u1ef1 b\u00e1o \u0111\u01a1n gi\u1ea3n v\u1edbi 2 bi\u1ebfn tr\u00ean.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Ph\u1ea7n 5 &#8211; X\u1eed l\u00fd c\u00e1c bi\u1ebfn kh\u00f4ng \u0111\u1ea1t chu\u1ea9n<\/h2>\n\n\n\n<p>K\u1ebft th\u00fac B\u01b0\u1edbc 2 \u1edf b\u00e0i tr\u01b0\u1edbc ch\u00fang ta \u0111\u00e3 x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c bi\u1ebfn theo c\u00e1c ti\u00eau ch\u00ed:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Bi\u1ebfn ph\u1ee5 thu\u1ed9c (Y) trong m\u00f4 h\u00ecnh ph\u1ea3i l\u00e0 bi\u1ebfn li\u00ean t\u1ee5c<\/li><li>C\u00f3 m\u1ed1i quan h\u1ec7 tuy\u1ebfn t\u00ednh gi\u1eefa bi\u1ebfn ph\u1ee5 thu\u1ed9c Y v\u1edbi c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp X<\/li><li>D\u1eef li\u1ec7u kh\u00f4ng c\u00f3 ch\u1ee9a c\u00e1c \u0111i\u1ec3m d\u1ecb bi\u1ec7t\/ outliers<\/li><li>Kh\u00f4ng c\u00f3 s\u1ef1 \u0111a c\u1ed9ng tuy\u1ebfn gi\u1eefa c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp X. \u0110i\u1ec1u \u0111\u00f3 c\u00f3 ngh\u0129a c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp trong m\u00f4 h\u00ecnh kh\u00f4ng c\u00f3 s\u1ef1 t\u01b0\u01a1ng quan cao v\u1edbi nhau.<\/li><\/ul>\n\n\n\n<p>C\u00f3 r\u1ea5t nhi\u1ec1u c\u00e1c v\u1ea5n \u0111\u1ec1 x\u1ea9y ra v\u1edbi bi\u1ebfn v\u00e0 kh\u00f4ng c\u00f3 chu\u1ea9n m\u1ef1c n\u00e0o cho m\u1ecdi tr\u01b0\u1eddng h\u1ee3p x\u1eed l\u00fd bi\u1ebfn v\u00ec v\u1eady trong c\u00e1c tr\u01b0\u1eddng h\u1ee3p ch\u00fang ta s\u1ebd c\u1ea7n c\u00e2n nh\u1eafc xem v\u1ea5n \u0111\u1ec1 bi\u1ebfn kh\u00f4ng \u0111\u1ea1t chu\u1ea9n l\u00e0 v\u00ec sao:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>N\u1ebfu \u0111\u00f3 l\u00e0 gi\u00e1 tr\u1ecb b\u1ea5t th\u01b0\u1eddng, nh\u01b0ng sau khi xem x\u00e9t th\u1ea5y r\u1eb1ng \u1edf th\u1eddi \u0111i\u1ec3m \u0111\u00f3 n\u00f3 b\u1ea5t th\u01b0\u1eddng l\u00e0 ch\u00ednh x\u00e1c th\u00ec c\u00f3 th\u1ec3 c\u00e2n nh\u1eafc gi\u1eef l\u1ea1i<\/li><li>N\u1ebfu gi\u00e1 tr\u1ecb b\u1ea5t th\u01b0\u1eddng \u0111\u00f3 th\u1ef1c s\u1ef1 c\u00f3 v\u1ea5n \u0111\u1ec1 v\u00e0 b\u1ed9 m\u1eabu d\u1eef li\u1ec7u l\u1edbn ta c\u00f3 th\u1ec3 x\u00f3a b\u1ecf, thay th\u1ebf b\u1eb1ng gi\u00e1 tr\u1ecb kh\u00e1c<\/li><li>N\u1ebfu c\u00e1c m\u1ed1i quan h\u1ec7 kh\u00f4ng t\u1ed1t, ph\u00e2n ph\u1ed1i d\u1eef li\u1ec7u kh\u00f4ng t\u1ed1t, c\u00f3 th\u1ec3 c\u00e2n nh\u1eafc chia nh\u1ecf c\u00e1c m\u1ed1i quan h\u1ec7\/ bi\u1ebfn ho\u1eb7c t\u00ecm ki\u1ebfm c\u00e1c m\u1ed1i quan h\u1ec7\/ bi\u1ebfn m\u1edbi<\/li><\/ul>\n\n\n\n<ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-5095883280136027\" data-ad-slot=\"7735063137\" data-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<p>Gi\u1ea3 \u0111\u1ecbnh trong b\u00e0i t\u1eadp n\u00e0y l\u00e0 t\u00f4i s\u1ebd kh\u00f4ng hi\u1ec7u ch\u1ec9nh c\u00e1c bi\u1ebfn kh\u00f4ng \u0111\u1ea1t chu\u1ea9n v\u00ec l\u00fd do l\u00e0 c\u00e1c bi\u1ebfn \u0111\u00e3 thu th\u1eadp \u0111\u01b0\u1ee3c ch\u00ednh x\u00e1c, c\u00e1c th\u1eddi k\u1ef3 \u0111\u1ed9t bi\u1ebfn d\u1eef li\u1ec7u l\u00e0 ph\u00f9 h\u1ee3p v\u1edbi c\u00e1c cu\u1ed9c kh\u1ee7ng ho\u1ea3ng kinh t\u1ebf.<br><strong><span style=\"text-decoration: underline;\">Ghi ch\u00fa<\/span><\/strong>: Nh\u01b0 \u0111\u00e3 n\u00f3i t\u1eeb ban \u0111\u1ea7u, ch\u1ea5t l\u01b0\u1ee3ng c\u1ee7a m\u00f4 h\u00ecnh ph\u1ee5 thu\u1ed9c r\u1ea5t nhi\u1ec1u v\u00e0o ch\u1ea5t l\u01b0\u1ee3ng c\u1ee7a d\u1eef li\u1ec7u, v\u00ec v\u1eady vi\u1ec7c chu\u1ea9n b\u1ecb d\u1eef li\u1ec7u, ki\u1ec3m \u0111\u1ecbnh bi\u1ebfn t\u1ed1t s\u1ebd c\u00f3 t\u00e1c \u0111\u1ed9ng l\u1edbn \u0111\u1ebfn k\u1ebft qu\u1ea3, th\u1eddi gian l\u00e0m vi\u1ec7c n\u00e0y th\u00f4ng th\u01b0\u1eddng s\u1ebd chi\u1ebfm 80% th\u1eddi l\u01b0\u1ee3ng x\u00e2y d\u1ef1ng 1 m\u00f4 h\u00ecnh.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Ph\u1ea7n 6 &#8211; X\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh<\/h2>\n\n\n\n<p>\u0110\u1ed1i v\u1edbi b\u00e0i t\u1eadp n\u00e0y theo t\u00f4i th\u1ea5y x\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh \u0111\u01a1n bi\u1ebfn gi\u1eefa bi\u1ebfn ph\u1ee5 thu\u1ed9c Y v\u00e0 bi\u1ebfn \u0111\u1ed9c l\u1eadp X = GDP l\u00e0 ph\u00f9 h\u1ee3p, tuy nhi\u00ean trong g\u00f3c \u0111\u1ed9 b\u00e0i t\u1eadp k\u1ef9 thu\u1eadt ch\u00fang ta c\u00f3 th\u1ec3 m\u1edf r\u1ed9ng x\u00e2y d\u1ef1ng c\u00e1c m\u00f4 h\u00ecnh \u0111a bi\u1ebfn v\u00e0 t\u1ed5 h\u1ee3p c\u00e1c tr\u01b0\u1eddng h\u1ee3p m\u00f4 h\u00ecnh c\u00f3 th\u1ec3 x\u1ea9y ra \u0111\u1ec3 xem x\u00e9t k\u1ebft qu\u1ea3.<\/p>\n\n\n\n<p>M\u1eabu source code x\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh \u0111\u01a1n bi\u1ebfn \u0111\u1ec3 l\u00e0m d\u1ef1 b\u00e1o k\u1ebft qu\u1ea3 c\u1ee7a bi\u1ebfn t\u1ef7 l\u1ec7 n\u1ee3 x\u1ea5u Y v\u00e0 bi\u1ebfn kinh t\u1ebf v\u0129 m\u00f4 X nh\u01b0 sau. Trong ph\u1ea7n n\u00e0y t\u00f4i dung sklearn \u0111\u1ec3 x\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh d\u1ef1 b\u00e1o v\u00e0 dung statsmodels \u0111\u1ec3 in c\u00e1c gi\u00e1 tr\u1ecb h\u1ed3i quy tuy\u1ebfn t\u00ednh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p b\u00ecnh ph\u01b0\u01a1ng t\u1ed1i thi\u1ec3u (OLS)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># M\u00d4 H\u00ccNH V\u00c0 PH\u00c2N T\u00cdCH K\u1ebeT QU\u1ea2\n# Ch\u1ecdn bi\u1ebfn \u0111\u01b0a v\u00e0o m\u00f4 h\u00ecnh: Bi\u1ebfn X = GDP v\u00e0 Y = NPL\nX_Train = df&#91;'GDP']&#91;:14].values.reshape(-1,1)\nY_Train = df&#91;'NPL']&#91;:14].values.reshape(-1,1)\n\n# X\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh linear v\u1edbi sklearn\nregr = linear_model.LinearRegression()\nregr.fit(X_Train, Y_Train)\n\n# D\u1ef1 b\u00e1o k\u1ebft qu\u1ea3 T\u1ef7 l\u1ec7 n\u1ee3 x\u1ea5u tr\u00ean s\u1ed1 li\u1ec7u d\u1ef1 b\u00e1o c\u1ee7a GPD 4 n\u0103m ti\u1ebfp theo v\u1edbi sklearn\nX_Test = df&#91;'GDP']&#91;-4:].values.reshape(-1, 1)\nprint('GDP d\u1ef1 t\u00ednh cho 4 n\u0103m ti\u1ebfp theo: \\n', X_Test)\nY_Pred = regr.predict(X_Test)\nprint('D\u1ef1 \u0111o\u00e1n t\u1ef7 l\u1ec7 n\u1ee3 x\u1ea5u NPL theo bi\u1ebfn \u0111\u1ed9ng c\u1ee7a GDP: \\n', Y_Pred)\n\n# In c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m H\u1ed3i quy \u0111\u1ec3 ki\u1ec3m tra m\u00f4 h\u00ecnh\n# In gi\u00e1 tr\u1ecb H\u1ec7 s\u1ed1 ch\u1eb7n\/ H\u1eb1ng s\u1ed1 Intercept v\u00e0 H\u1ec7 s\u1ed1 g\u00f3c Coefficients\nprint('Intercept: \\n', regr.intercept_)\nprint('Coefficients: \\n', regr.coef_)\n\n# In k\u1ebft qu\u1ea3 h\u1ed3i quy tuy\u1ebfn t\u00ednh th\u00f4ng qua ph\u01b0\u01a1ng ph\u00e1p OLS v\u1edbi statsmodels\nX_Train = sm.add_constant(X_Train)  # adding a constant\nmodel = sm.OLS(Y_Train, X_Train , alpha=0.05).fit()\nprint_model = model.summary()\nprint(print_model)\n\n# T\u00ednh ph\u1ea7n d\u01b0 Residual t\u1eeb OLS\nres_ols = model.resid  # residuals\nprint(res_ols)\n\n# V\u1ebd ph\u00e2n ph\u1ed1i d\u1eef li\u1ec7u c\u1ee7a ph\u1ea7n d\u01b0 Residual \u0111\u1ec3 ph\u00e2n t\u00edch k\u1ebft qu\u1ea3\ndf_hist_ols =pd.DataFrame(res_ols)\ndf_hist_ols.rename(columns={df_hist_ols.columns&#91;0]: \"Residual\"}, inplace=True)\nprint(df_hist_ols)\nprint(df_hist_ols.describe())\ndf_gdp = df &#91;'GDP']&#91;:14]\ndf_res = pd.concat(&#91;df_hist_ols, df_gdp], axis=1, sort=False)\nprint(\"-----------K\u1ebft qu\u1ea3 pearson gi\u1eefa Residual v\u00e0 GDP---------------\")\nprint(df_res.corr(method='pearson', min_periods=1))\nprint(\"------------K\u1ebft qu\u1ea3 spearman gi\u1eefa Residual v\u00e0 GDP--------------\")\nprint(df_res.corr(method='spearman'))\ndf_hist_ols.plot(kind='hist', stacked=True, bins=5)\ndf_hist_ols.plot(kind='box')\ndf_hist_ols.plot.density(figsize=(8, 6), linewidth=4)\nfig = sm.qqplot(res_ols, line='r')\nplt.show()\nsys.exit()\n<\/code><\/pre>\n\n\n\n<p>Nh\u01b0 v\u1eady b\u1eb1ng h\u00e0m Regression tr\u00ean Python ta c\u00f3 k\u1ebft qu\u1ea3 d\u1ef1 b\u00e1o t\u1ef7 l\u1ec7 n\u1ee3 x\u1ea5u c\u1ee7a c\u00e1c n\u0103m ti\u1ebfp theo tr\u00ean k\u1ebft qu\u1ea3 bi\u1ebfn \u0111\u1ed9ng c\u1ee7a GDP nh\u01b0 sau:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/a.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-5095883280136027\" data-ad-slot=\"7735063137\" data-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<h2 class=\"wp-block-heading\">Ph\u1ea7n 7 &#8211; Ki\u1ec3m tra m\u00f4 h\u00ecnh<\/h2>\n\n\n\n<p>V\u1edbi k\u1ebft qu\u1ea3 m\u00f4 h\u00ecnh ta thu \u0111\u01b0\u1ee3c \u1edf tr\u00ean, ch\u00fang ta c\u00f9ng \u0111i qua m\u1ed9t s\u1ed1 k\u1ef9 thu\u1eadt \u0111\u1ec3 ki\u1ec3m tra xem m\u00f4 h\u00ecnh tr\u1ea3 k\u1ebft qu\u1ea3 n\u00e0y c\u00f3 tin c\u1eady \u0111\u01b0\u1ee3c kh\u00f4ng nh\u00e9. D\u1ef1a v\u00e0o k\u1ebft qu\u1ea3 c\u1ee7a \u0111o\u1ea1n Code \u0111\u00e3 ch\u1ea1y \u1edf b\u01b0\u1edbc 4, ch\u00fang ta c\u00f9ng \u0111\u1ebfn B\u01b0\u1edbc 5 \u2013 Ki\u1ec3m tra m\u00f4 h\u00ecnh b\u1eb1ng c\u00e1ch ph\u00e2n t\u00edch c\u00e1c k\u1ebft qu\u1ea3 tr\u1ea3 ra.<\/p>\n\n\n\n<p>M\u1ed9t s\u1ed1 \u0111i\u1ec1u ki\u1ec7n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0111\u1ec3 ki\u1ec3m tra s\u1ef1 tin c\u1eady c\u1ee7a m\u00f4 h\u00ecnh nh\u01b0:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u0110\u00e1nh gi\u00e1 m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh th\u00f4ng qua ki\u1ec3m tra gi\u00e1 tr\u1ecb R Square\/ Adjusted R Square<\/li><li>C\u00f3 s\u1ef1 \u0111\u1ed9c l\u1eadp gi\u1eefa c\u00e1c quan s\u00e1t trong ph\u1ea7n d\u01b0, kh\u00f4ng c\u00f3 s\u1ef1 t\u01b0\u01a1ng quan gi\u1eefa c\u00e1c quan s\u00e1t c\u1ee7a ph\u1ea7n d\u01b0 theo th\u1eddi gian. S\u1ef1 \u0111\u1ed9c l\u1eadp gi\u1eefa c\u00e1c quan s\u00e1t c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ki\u1ec3m tra qua ki\u1ec3m \u0111\u1ecbnh Durbin-Watson.<\/li><li>Ph\u01b0\u01a1ng sai c\u1ee7a ph\u1ea7n d\u01b0 b\u1eb1ng nhau hay c\u00f3 s\u1ef1 \u0111\u1ed3ng nh\u1ea5t v\u1ec1 ph\u01b0\u01a1ng sai c\u1ee7a ph\u1ea7n d\u01b0. Ph\u1ea7n d\u01b0 (residual errors) c\u00f3 ph\u00e2n ph\u1ed1i chu\u1ea9n ho\u1eb7c x\u1ea5p x\u1ec9 ph\u00e2n ph\u1ed1i chu\u1ea9n. C\u00f3 th\u1ec3 ki\u1ec3m tra b\u1eb1ng c\u00e1c k\u1ebft qu\u1ea3 th\u1ed1ng k\u00ea gi\u00e1 tr\u1ecb c\u1ee7a ph\u1ea7n d\u01b0<\/li><li>\u0110\u00e1nh gi\u00e1 v\u1ec1 m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh n\u00e0y c\u00f3 suy r\u1ed9ng v\u00e0 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c cho t\u1ed5ng th\u1ec3 hay kh\u00f4ng th\u00f4ng qua ki\u1ec3m \u0111\u1ecbnh F v\u00e0 ki\u1ec3m \u0111\u1ecbnh T. \u00dd ngh\u0129a c\u1ee7a vi\u1ec7c n\u00e0y \u0111\u00f3 l\u00e0 ch\u00fang ta d\u00f9ng 1 t\u1ec7p d\u1eef li\u1ec7u \u0111\u1ec3 l\u00e0m m\u1eabu x\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh v\u00e0 coi nh\u01b0 k\u1ebft qu\u1ea3 m\u00f4 h\u00ecnh v\u1edbi t\u1ec7p d\u1eef li\u1ec7u m\u1eabu l\u00e0 tin c\u1eady, b\u00e2y gi\u1edd ch\u00fang ta ki\u1ec3m tra xem n\u00f3 c\u00f3 c\u00f2n tin c\u1eady v\u1edbi c\u00e1c tr\u01b0\u1eddng h\u1ee3p kh\u00e1c ngo\u00e0i m\u1eabu kh\u00f4ng.<\/li><\/ul>\n\n\n\n<p>Tr\u00ean c\u01a1 s\u1edf \u0111\u00f3, \u1ee9ng d\u1ee5ng v\u00e0o k\u1ebft qu\u1ea3 ph\u00e2n t\u00edch t\u1eebng k\u1ebft qu\u1ea3 m\u00f4 h\u00ecnh tr\u00ean \u0111\u00e2y ta c\u00f3:<\/p>\n\n\n\n<p>K\u1ebft qu\u1ea3 h\u1ed3i quy tuy\u1ebfn t\u00ednh th\u00f4ng qua ph\u01b0\u01a1ng ph\u00e1p OLS v\u1edbi statsmodels, ta thu \u0111\u01b0\u1ee3c b\u1ea3ng gi\u00e1 tr\u1ecb k\u1ebft qu\u1ea3 h\u1ed3i quy nh\u01b0 sau:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/b.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">Ph\u00e2n t\u00edch R Square ho\u1eb7c Adjusted R Square:<\/h5>\n\n\n\n<ul class=\"wp-block-list\"><li>R-squared (R2) l\u00e0 m\u1ed9t th\u01b0\u1edbc \u0111o th\u1ed1ng k\u00ea \u0111\u1ea1i di\u1ec7n cho t\u1ef7 l\u1ec7 ph\u01b0\u01a1ng sai cho m\u1ed9t bi\u1ebfn ph\u1ee5 thu\u1ed9c \u0111\u01b0\u1ee3c gi\u1ea3i th\u00edch b\u1edfi m\u1ed9t bi\u1ebfn \u0111\u1ed9c l\u1eadp ho\u1eb7c c\u00e1c bi\u1ebfn trong m\u00f4 h\u00ecnh h\u1ed3i quy. Trong b\u00e0i to\u00e1n n\u00e0y n\u00f3 gi\u1ea3i th\u00edch cho vi\u1ec7c ph\u1ee5 thu\u1ed9c c\u1ee7a bi\u1ebfn Y t\u1ef7 l\u1ec7 n\u1ee3 x\u1ea5u v\u00e0o bi\u1ebfn X GDP. M\u1ed9t m\u00f4 h\u00ecnh t\u1ed1t l\u00e0 m\u00f4 h\u00ecnh m\u00e0 Y \u0111\u01b0\u1ee3c gi\u1ea3i th\u00edch b\u1edfi X cao<\/li><li>Kh\u00f4ng c\u00f3 gi\u00e1 tr\u1ecb R Square\/ Adjusted R Square ch\u00ednh x\u00e1c l\u00e0 bao nhi\u00eau th\u00ec m\u00f4 h\u00ecnh \u0111\u1ea1t y\u00eau c\u1ea7u. Ch\u1ec9 s\u1ed1 n\u00e0y c\u00e0ng ti\u1ebfn v\u1ec1 1 th\u00ec m\u00f4 h\u00ecnh c\u00e0ng c\u00f3 \u00fd ngh\u0129a, c\u00e0ng ti\u1ebfn v\u1ec1 0 th\u00ec \u00fd ngh\u0129a m\u00f4 h\u00ecnh c\u00e0ng y\u1ebfu. Th\u00f4ng th\u01b0\u1eddng m\u00f4 h\u00ecnh t\u1ed1t s\u1ebd ch\u1ecdn gi\u00e1 tr\u1ecb t\u1eeb 0.7 tr\u1edf l\u00ean<\/li><li>C\u00e0ng \u0111\u01b0a th\u00eam nhi\u1ec1u bi\u1ebfn v\u00e0o m\u00f4 h\u00ecnh, m\u1eb7c d\u00f9 ch\u01b0a x\u00e1c \u0111\u1ecbnh bi\u1ebfn \u0111\u01b0a v\u00e0o c\u00f3 \u00fd ngh\u0129a hay kh\u00f4ng th\u00ec gi\u00e1 tr\u1ecb R square s\u1ebd t\u0103ng. L\u00fd do l\u00e0 khi c\u00e0ng \u0111\u01b0a th\u00eam bi\u1ebfn gi\u1ea3i th\u00edch v\u00e0o m\u00f4 h\u00ecnh th\u00ec s\u1ebd c\u00e0ng khi\u1ebfn ph\u1ea7n d\u01b0 gi\u1ea3m xu\u1ed1ng.<\/li><li>Adjusted R Square: \u0111\u01b0\u1ee3c t\u00ednh t\u1eeb R Square th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng h\u01a1n v\u00ec gi\u00e1 tr\u1ecb n\u00e0y ph\u1ea3n \u00e1nh s\u00e1t h\u01a1n m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh. Adjusted R Square kh\u00f4ng nh\u1ea5t thi\u1ebft t\u0103ng l\u00ean khi ta \u0111\u01b0a th\u00eam bi\u1ebfn \u0111\u1ed9c l\u1eadp v\u00e0o m\u00f4 h\u00ecnh, h\u1ea1n ch\u1ebf \u0111\u01b0\u1ee3c tr\u01b0\u1eddng h\u1ee3p th\u1ed3i ph\u1ed3ng m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh.<\/li><\/ul>\n\n\n\n<ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-5095883280136027\" data-ad-slot=\"7735063137\" data-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<p>K\u1ebft lu\u1eadn \u0111\u1ed1i v\u1edbi k\u1ebft qu\u1ea3 m\u00f4 h\u00ecnh tr\u00ean:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/c.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">Ki\u1ec3m \u0111\u1ecbnh Durbin-Watson \u0111\u1ec3 ki\u1ec3m \u0111\u1ecbnh t\u00ednh t\u1ef1 t\u01b0\u01a1ng quan c\u1ee7a c\u00e1c sai s\u1ed1 \u03b5_i<\/h5>\n\n\n\n<p>Trong \u0111\u00f3 du, dl \u00a0 l\u00e0 c\u00e1c gi\u00e1 tr\u1ecb \u0111\u01b0\u1ee3c tra c\u1ee9u t\u1ea1i b\u1ea3ng ph\u00e2n ph\u1ed1i Durbin Watson d\u1ef1a v\u00e0o c\u00e1c tham s\u1ed1: ), s\u1ed1 quan s\u00e1t n v\u00e0 s\u1ed1 bi\u1ebfn \u0111\u1ed9c l\u1eadp k. Th\u00f4ng th\u01b0\u1eddng ng\u01b0\u1eddi ta s\u1ebd ch\u1ecdn \u00a0alpha = 1% ho\u1eb7c 5% t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi k\u1ef3 v\u1ecdng m\u1ee9c \u0111\u1ed9 tin c\u1eady l\u00e0 99% ho\u1eb7c 95%.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/d.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<p>V\u1edbi tr\u01b0\u1eddng h\u1ee3p trong v\u00ed d\u1ee5 ta \u0111ang gi\u1ea3 s\u1eed ta k\u1ef3 v\u1ecdng alpha \u00a0= 5%, s\u1ed1 l\u01b0\u1ee3ng quan s\u00e1t n = 14, s\u1ed1 l\u01b0\u1ee3ng bi\u1ebfn \u0111\u1ed9c l\u1eadp k = 1. Ta c\u00f3 k\u1ebft lu\u1eadn nh\u01b0 sau.<\/p>\n\n\n\n<p>Tra b\u1ea3ng theo Durbin-Watson b\u00ean d\u01b0\u1edbi \u0111\u1ec3 t\u00ecm ta c\u00f3 \u00a0dl = 1.045 v\u00e0 \u00a0du=1.350:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/e.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<p>D\u00f3ng theo c\u00f4ng th\u1ee9c Ki\u1ec3m \u0111\u1ecbnh Durbin-Watson tr\u00ean \u0111\u00e2y ta c\u00f3:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/f.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<p>K\u1ebft lu\u1eadn \u0111\u1ed1i v\u1edbi k\u1ebft qu\u1ea3 m\u00f4 h\u00ecnh tr\u00ean:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/g.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">Ki\u1ec3m \u0111\u1ecbnh Ph\u1ea7n d\u01b0 (residual errors)<\/h5>\n\n\n\n<p>Ki\u1ec3m \u0111\u1ecbnh Ph\u1ea7n d\u01b0 (residual errors) c\u00f3 ph\u00e2n ph\u1ed1i chu\u1ea9n ho\u1eb7c x\u1ea5p x\u1ec9 ph\u00e2n ph\u1ed1i chu\u1ea9n kh\u00f4ng th\u00f4ng qua vi\u1ec7c th\u1ef1c hi\u1ec7n th\u1ed1ng k\u00ea d\u1eef li\u1ec7u v\u00e0 v\u1ebd m\u1ed9t s\u1ed1 c\u00e1c bi\u1ec3u \u0111\u1ed3 th\u1ed1ng k\u00ea ph\u00e2n t\u00edch<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Ph\u1ea7n d\u01b0 (residual errors): Khi v\u1ebd \u0111\u01b0\u1eddng th\u1eb3ng h\u1ed3i qui, ta th\u1ea5y c\u00e1c tr\u1ecb s\u1ed1 quan s\u00e1t y n\u1eb1m tr\u00ean ho\u1eb7c xung quanh \u0111\u01b0\u1eddng th\u1eb3ng. V\u00ec c\u00f3 c\u00e1c \u0111i\u1ec3m kh\u00f4ng n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 s\u1ef1 li\u00ean h\u1ec7 gi\u1eefa xi v\u00e0 yi kh\u00f4ng c\u00f2n l\u00e0 100% v\u00ec c\u00f3 s\u1ef1 sai l\u1ec7ch t\u1ea1i c\u00e1c \u0111i\u1ec3m n\u1eb1m ngo\u00e0i \u0111\u01b0\u1eddng tuy\u1ebfn t\u00ednh. S\u1ef1 sai l\u1ec7ch n\u00e0y trong th\u1ed1ng k\u00ea g\u1ecdi l\u00e0 ph\u1ea7n d\u01b0 (residual) ho\u1eb7c errors e_i.<\/li><li>Khi \u0111\u00f3 ph\u01b0\u01a1ng tr\u00ecnh h\u1ed3i qui tuy\u1ebfn t\u00ednh \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng t\u1ed5ng qu\u00e1t nh\u01b0 sau: <strong>Y\u2019 = \u03b2x\u1d62 +<\/strong> <strong>\u00a0+ \u0190\u1d62 <\/strong>\u00e0 nh\u01b0 v\u1eady n\u1ebfu ph\u1ea7n d\u01b0 \u00a0c\u00e0ng nh\u1ecf v\u00e0 \u1ed5n \u0111\u1ecbnh th\u00ec s\u1ef1 li\u00ean h\u1ec7 gi\u1eefa x, y c\u00e0ng l\u1edbn v\u00e0 ng\u01b0\u1ee3c l\u1ea1i.<\/li><li>Trong ph\u1ea7n n\u00e0y t\u00f4i nh\u1eafc l\u1ea1i m\u1ed9t s\u1ed1 c\u00e1c k\u1ef9 thu\u1eadt \u0111\u00e3 \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 ki\u1ec3m \u0111\u1ecbnh bi\u1ebfn trong b\u00e0i tr\u01b0\u1edbc, sau khi ch\u1ea1y xong m\u00f4 h\u00ecnh, x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c c\u00e1c ph\u00e2n d\u01b0 <em>(qua h\u00e0m model.resid theo ph\u01b0\u01a1ng ph\u00e1p b\u00ecnh\u00a0ph\u01b0\u01a1ng\u00a0nh\u1ecf)<\/em> ch\u00fang ta s\u1eed d\u1ee5ng c\u00e1c k\u1ef9 thu\u1eadt th\u1ed1ng k\u00ea describe, correlation, v\u1ebd bi\u1ec3u \u0111\u1ed3 Histogram, v\u1ebd bi\u1ec3u \u0111\u1ed3 Box, bi\u1ec3u \u0111\u1ed3 Density, bi\u1ec3u \u0111\u1ed3 QQ<\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/h.png?raw=true\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<h5 class=\"wp-block-heading\">L\u1ea5y gi\u00e1 tr\u1ecb Describe c\u1ee7a ph\u1ea7n d\u01b0<\/h5>\n\n\n\n<ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-5095883280136027\" data-ad-slot=\"7735063137\" data-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<p>count 14.000000<br>mean 0.004368<br>std 0.023688<br>min -0.028399<br>25% -0.009350<br>50% -0.002104<br>75% 0.014034<br>max 0.061649<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">M\u1ed1i quan h\u1ec7 gi\u1eefa ph\u1ea7n d\u01b0 v\u00e0 bi\u1ebfn X<\/h5>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/i.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">Bi\u1ec3u \u0111\u1ed3 Histogram<\/h5>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/j.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">Bi\u1ec3u \u0111\u1ed3 Box<\/h5>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/k.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">Bi\u1ec3u \u0111\u1ed3 Density<\/h5>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/l.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">Bi\u1ec3u \u0111\u1ed3 QQ<\/h5>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/m.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-5095883280136027\" data-ad-slot=\"7735063137\" data-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<p>K\u1ebft lu\u1eadn \u0111\u1ed1i v\u1edbi k\u1ebft qu\u1ea3 m\u00f4 h\u00ecnh tr\u00ean:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Tr\u00ean \u0111\u01b0\u1eddng ph\u00e2n ph\u1ed1i c\u1ee7a ph\u1ea7n d\u01b0 ta th\u1ea5y \u0111\u01b0\u1eddng c\u00f3 h\u00ecnh d\u1ea1ng ph\u00e2n ph\u1ed1i t\u01b0\u01a1ng \u0111\u1ed1i t\u1ed1t nh\u01b0 m\u1ed9t \u0111\u01b0\u1eddng Bell Curve<\/li><li>Ph\u00e2n t\u00edch ti\u1ebfp \u0111\u1ebfn k\u1ebft qu\u1ea3 describe ta th\u1ea5y mean kh\u00e1 t\u1ed1t (b\u1eb1ng 0.004368) ti\u1ec7m c\u1eadn \u0111\u1ebfn 0, nh\u01b0ng gi\u00e1 tr\u1ecb \u0111\u1ed9 l\u1ec7ch chu\u1ea9n standard deviation l\u1ea1i r\u1ea5t th\u1ea5p (b\u1eb1ng 0.023688) trong khi \u0111\u01b0\u1eddng ph\u00e2n ph\u1ed1i chu\u1ea9n n\u00ean c\u00f3 mean = 0 v\u00e0 std = 1<\/li><li>Ph\u00e2n t\u00edch ti\u1ebfp \u0111\u1ebfn m\u1ed1i quan h\u1ec7 gi\u1eefa X v\u00e0 ph\u00e2n d\u01b0 ta c\u0169ng th\u1ea5y 2 chu\u1ed7i gi\u00e1 tr\u1ecb c\u00f3 quan h\u1ec7 r\u1ea5t m\u1ea1nh, \u0111i\u1ec1u n\u00e0y s\u1ebd \u1ea3nh h\u01b0\u1edfng kh\u00f4ng t\u1ed1t \u0111\u1ebfn m\u00f4 h\u00ecnh, b\u1edfi ta lu\u00f4n k\u1ef3 v\u1ecdng Y ch\u1ec9 ph\u1ee5 thu\u1ed9c v\u00e0o s\u1ef1 bi\u1ebfn \u0111\u1ed5i c\u1ee7a X m\u00e0 \u00edt b\u1ecb \u1ea3nh h\u01b0\u1edfng b\u1edfi ph\u1ea7n error, trong khi \u0111\u00f3 n\u1ebfu ph\u1ea7n error c\u00f3 quan h\u1ec7 m\u1ea1nh v\u1edbi X c\u00f3 ngh\u0129a l\u00e0 n\u00f3 thay \u0111\u1ed5i theo gi\u00e1 tr\u1ecb c\u1ee7a X nhi\u1ec1u v\u00e0 s\u1ebd l\u00e0m cho Y bi\u1ebfn \u0111\u1ed9ng theo, \u0111\u1ed3ng th\u1eddi c\u0169ng l\u00e0m k\u1ebft qu\u1ea3 m\u00f4 h\u00ecnh k\u00e9m ch\u00ednh x\u00e1c.<\/li><\/ul>\n\n\n\n<p>\u0110\u1ec3 t\u00ecm hi\u1ec3u m\u1ed1i quan h\u1ec7 gi\u1eefa bi\u1ebfn ph\u1ee5 thu\u1ed9c v\u00e0 c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp d\u1ef1a tr\u00ean ph\u01b0\u01a1ng tr\u00ecnh h\u1ed3i quy, \u0111\u00e1nh gi\u00e1 v\u1ec1 m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh n\u00e0y c\u00f3 suy r\u1ed9ng v\u00e0 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c cho t\u1ed5ng th\u1ec3 hay kh\u00f4ng ng\u01b0\u1eddi ta d\u00f9ng Ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft (Hypothesis Testing). C\u00f3 th\u1ec3 coi b\u00e0i to\u00e1n ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft nh\u01b0 ph\u00e9p bi\u1ec7n ch\u1ee9ng, \u0111\u1ec3 ch\u1ee9ng minh \u0111\u01b0\u1ee3c l\u00e0 sai th\u00ec \u0111\u1ea7u ti\u00ean ta gi\u1ea3 s\u1eed \u00a0l\u00e0 \u0111\u00fang, sau \u0111\u00f3 s\u1ebd t\u00ecm c\u00e1c b\u1eb1ng ch\u1ee9ng \u0111\u1ec3 ch\u01b0ng \u0111i\u1ec1u \u0111\u00e3 gi\u1ea3 s\u1eed n\u00e0y l\u00e0 sai. Trong th\u1ed1ng k\u00ea, c\u00e1c b\u1eb1ng ch\u1ee9ng n\u00e0y \u0111\u01b0\u1ee3c coi l\u00e0 c\u00e1c bi\u1ebfn ng\u1eabu nhi\u00ean c\u00f3 \u00edt x\u00e1c su\u1ea5t x\u1ea9y ra, n\u1ebfu x\u00e1c su\u1ea5t x\u1ea9y ra l\u00e0 \u00edt th\u00ec ta c\u00f3 th\u1ec3 ch\u1ea5p nh\u1eadn m\u1ee9c \u0111\u1ed9 r\u1ee7i ro c\u00f3 th\u1ec3 cho ph\u00e9p \u0111\u01b0\u1ee3c khi \u0111\u01b0a ra k\u1ebft lu\u1eadn r\u1eb1ng \u0111i\u1ec1u gi\u1ea3 s\u1eed l\u00e0 sai).<\/p>\n\n\n\n<p>\u0110\u1ec3 ch\u1ee9ng minh trong b\u00e0i vi\u1ebft n\u00e0y t\u00f4i \u0111\u1ec1 c\u1eadp \u0111\u1ebfn 2 ph\u01b0\u01a1ng ph\u00e1p ki\u1ec3m \u0111\u1ecbnh sau \u0111\u00e2y<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Ki\u1ec3m \u0111\u1ecbnh F: l\u00e0 ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch ANOVA \u0111\u1ec3 t\u00ecm hi\u1ec3u m\u1ed1i quan h\u1ec7 gi\u1eefa bi\u1ebfn ph\u1ee5 thu\u1ed9c v\u00e0 c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp d\u1ef1a tr\u00ean ph\u01b0\u01a1ng tr\u00ecnh h\u1ed3i quy, \u0111\u00e1nh gi\u00e1 v\u1ec1 m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh n\u00e0y c\u00f3 suy r\u1ed9ng v\u00e0 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c cho t\u1ed5ng th\u1ec3 hay kh\u00f4ng?<\/li><li>Ki\u1ec3m \u0111\u1ecbnh t: t\u01b0\u01a1ng t\u1ef1 nh\u01b0 ki\u1ec3m \u0111\u1ecbnh f, ki\u1ec3m \u0111\u1ecbnh t d\u00f9ng \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 v\u1ec1 m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh n\u00e0y c\u00f3 suy r\u1ed9ng v\u00e0 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c cho t\u1ed5ng th\u1ec3 hay kh\u00f4ng<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/github.com\/thangnch\/photos\/blob\/master\/Anh%202\/n.png?raw=true\" alt=\"\"\/><\/figure>\n\n\n\n<ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-5095883280136027\" data-ad-slot=\"7735063137\" data-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<p>K\u1ebft lu\u1eadn chung: qua c\u00e1c \u0111\u00e1nh gi\u00e1 v\u1ec1 k\u1ebft qu\u1ea3 c\u1ee7a m\u00f4 h\u00ecnh nh\u01b0 tr\u00ean \u0111\u00e2y, ta c\u00f3 th\u1ec3 th\u1ea5y m\u00f4 h\u00ecnh cho k\u1ebft qu\u1ea3 t\u00edch c\u1ef1c \u1edf \u0111i\u1ec3m kh\u00f4ng c\u00f3 t\u1ef1 t\u01b0\u01a1ng quan (ki\u1ec3m \u0111\u1ecbnh Durbin-Watson), m\u00f4 h\u00ecnh cho k\u1ebft qu\u1ea3 b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft \u00a0ngh\u0129a l\u00e0 n\u00f3 c\u00f3 \u00e1p d\u1ee5ng v\u1edbi t\u1ed5ng th\u1ec3 c\u00e1c tr\u01b0\u1eddng h\u1ee3p, kh\u00f4ng ph\u1ea3i ch\u1ec9 v\u1edbi b\u1ed9 d\u1eef li\u1ec7u m\u1eabu (ki\u1ec3m \u0111\u1ecbnh F v\u00e0 T). Tuy nhi\u00ean m\u00f4 h\u00ecnh cho k\u1ebft qu\u1ea3 R Square \u1edf m\u1ee9c trung b\u00ecnh v\u00e0 \u0111\u1eb7c bi\u1ec7t l\u00e0 ph\u1ea7n d\u01b0 kh\u00f4ng c\u00f3 ph\u00e2n ph\u1ed1i chu\u1ea9n (standard deviation nh\u1ecf h\u01a1n 1 r\u1ea5t nhi\u1ec1u), X v\u00e0 ph\u1ea7n d\u01b0 c\u0169ng c\u00f3 quan h\u1ec7 m\u1ea1nh v\u1edbi nhau t\u1eeb \u0111\u00f3 l\u00e0m gi\u1ea3m \u1ea3nh h\u01b0\u1edfng c\u1ee7a X l\u00ean Y. Tr\u00ean th\u1ef1c t\u1ebf ta th\u1ea5y GDP \u0111\u00fang l\u00e0 c\u00f3 \u1ea3nh h\u01b0\u1edfng l\u1edbn \u0111\u1ebfn t\u00ecnh h\u00ecnh n\u1ee3 x\u1ea5u trong Ng\u00e2n h\u00e0ng, tuy nhi\u00ean \u0111\u1ec3 x\u00e2y d\u1ef1ng m\u1ed9t m\u00f4 h\u00ecnh ph\u1ea3n \u1ea3nh t\u1ed1t v\u1ec1 bi\u1ebfn \u0111\u1ed9ng n\u1ee3 x\u1ea5u, ta n\u00ean xem x\u00e9t vi\u1ec7c b\u1ed5 sung th\u00eam c\u00e1c bi\u1ebfn kh\u00e1c v\u00e0 t\u01b0 \u0111\u00f3 c\u0169ng c\u00f3 th\u1ec3 l\u00e0m ch\u1ea5t l\u01b0\u1ee3ng m\u00f4 h\u00ecnh t\u1ed1t l\u00ean.<\/p>\n\n\n\n<p><em>Ghi ch\u00fa:<\/em> <em>Nh\u01b0 \u0111\u00e3 trao \u0111\u1ed5i \u1edf tr\u00ean, ch\u00fang ta c\u00f3 th\u1ec3 ch\u1ea1y m\u00f4 h\u00ecnh v\u00e0 in k\u1ebft qu\u1ea3 h\u1ed3i quy theo ph\u01b0\u01a1ng ph\u00e1p b\u00ecnh ph\u01b0\u01a1ng nh\u1ecf nh\u1ea5t \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 t\u1ea5t c\u1ea3 c\u00e1c ph\u01b0\u01a1ng \u00e1n h\u1ed3i quy m\u00e0 ch\u00fang ta c\u00f3 th\u1ec3 t\u1ea1o \u0111\u01b0\u1ee3c. M\u1eabu source code nh\u01b0 sau:<\/em><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># ------------------------IN T\u1ed4 H\u1ee2P C\u00c1C K\u1ebeT QU\u1ea2 H\u1ed2I QUY \ndf_combi = df&#91;:14]\nprint(df1)\n\narr = &#91;'Inflation', 'Lending_Interest_Rate', 'Unemployment', 'GDP']\ni = 0\nfor r in range(1, 5):\n    for sub in rSubset(arr, r):\n        i += 1\n        print(\"Model : \", i, np.asarray(sub))\n        # 5. X\u00e1c \u0111\u1ecbnh multi regression\n        X = df_combi&#91;np.asarray(sub)]  \n        Y = df_combi&#91;'NPL']  \n\n        # with sklearn\n        regr = linear_model.LinearRegression()\n        regr.fit(X, Y)\n\n        print('Intercept: \\n', regr.intercept_)\n        print('Coefficients: \\n', regr.coef_)\n\n        # with statsmodels\n        X = sm.add_constant(X)  # adding a constant\n        model = sm.OLS(Y, X).fit()\n        \n        print_model = model.summary()\n        print(print_model)\nsys.exit()\n<\/code><\/pre>\n\n\n\n<p>M\u1ed9t s\u1ed1 ngu\u1ed3n d\u1eef li\u1ec7u tham kh\u1ea3o:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Chi ti\u1ebft m\u00f4 t\u1ea3 \u00fd ngh\u0129a t\u1eebng th\u00f4ng s\u1ed1 c\u1ee7a l\u00e0m OLS: <strong><a href=\"https:\/\/www.datarobot.com\/blog\/ordinary-least-squares-in-python\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">https:\/\/www.datarobot.com\/blog\/ordinary-least-squares-in-python<\/a><\/strong>\/<\/li><li>Gi\u1ea3i th\u00edch c\u00e1c thu\u1eadt ng\u1eef s\u1eed d\u1ee5ng trong Hypothesis testing: <strong><a href=\"https:\/\/people.richland.edu\/james\/lecture\/m113\/def_testing.html\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">https:\/\/people.richland.edu\/james\/lecture\/m113\/def_testing.html<\/a><\/strong><\/li><\/ul>\n\n\n\n<p>H\u1eb9n g\u1eb7p l\u1ea1i c\u00e1c b\u1ea1n trong c\u00e1c b\u00e0i ti\u1ebfp theo! Ch\u00fac c\u00e1c b\u1ea1n th\u00e0nh c\u00f4ng!<\/p>\n\n\n\n<p>Fanpage: http:\/\/facebook.com\/miaiblog<br>Group trao \u0111\u1ed5i, chia s\u1ebb: https:\/\/www.facebook.com\/groups\/miaigroup<br>Website: https:\/\/miai.vn\/<br>Youtube: http:\/\/bit.ly\/miaiyoutube<\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u00e0i 4 ph\u1ea7n 1 h\u00f4m tr\u01b0\u1edbc ch\u00fang ta \u0111\u00e3 \u0111i qua 2 b\u01b0\u1edbc s\u1ed1 1 v\u00e0 2 v\u1ec1 vi\u1ec7c chu\u1ea9n b\u1ecb bi\u1ebfn v\u00e0 \u0111\u00e3 l\u1ef1a ch\u1ecdn \u0111\u01b0\u1ee3c m\u1ed9t s\u1ed1 th\u00f4ng tin h\u1eefu \u00edch nh\u01b0 l\u00e0 Bi\u1ebfn ph\u1ee5 thu\u1ed9c t\u1ef7 l\u1ec7 n\u1ee3 x\u1ea5u NPL c\u00f3 quan h\u1ec7 cao nh\u1ea5t v\u1edbi Bi\u1ebfn kinh t\u1ebf v\u0129 m\u00f4 GDP. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[285],"tags":[282,283,284,287,351,352,353,354],"class_list":["post-1109","post","type-post","status-publish","format-standard","hentry","category-data-science-data-analysis","tag-da","tag-data-analysis","tag-data-science","tag-ds","tag-du-doan","tag-hoi-quy","tag-phan-tich-du-lieu","tag-tuyen-tinh"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>[DA-DS] Tri\u1ec3n khai m\u00f4 h\u00ecnh d\u1ef1 b\u00e1o \u0111\u01a1n gi\u1ea3n (Ch\u01b0\u01a1ng 2\/2) - M\u00ec AI<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/miai.vn\/?p=1109\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[DA-DS] Tri\u1ec3n khai m\u00f4 h\u00ecnh d\u1ef1 b\u00e1o \u0111\u01a1n gi\u1ea3n (Ch\u01b0\u01a1ng 2\/2) - M\u00ec AI\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 4 ph\u1ea7n 1 h\u00f4m tr\u01b0\u1edbc ch\u00fang ta \u0111\u00e3 \u0111i qua 2 b\u01b0\u1edbc s\u1ed1 1 v\u00e0 2 v\u1ec1 vi\u1ec7c chu\u1ea9n b\u1ecb bi\u1ebfn v\u00e0 \u0111\u00e3 l\u1ef1a ch\u1ecdn \u0111\u01b0\u1ee3c m\u1ed9t s\u1ed1 th\u00f4ng tin h\u1eefu \u00edch nh\u01b0 l\u00e0 Bi\u1ebfn ph\u1ee5 thu\u1ed9c t\u1ef7 l\u1ec7 n\u1ee3 x\u1ea5u NPL c\u00f3 quan h\u1ec7 cao nh\u1ea5t v\u1edbi Bi\u1ebfn kinh t\u1ebf v\u0129 m\u00f4 GDP. 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