From 3e40e5d4887b60f405c570c856e0b61af1ee750d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Gerardo=20Marx=20Cha=CC=81vez-Campos?= Date: Tue, 4 Jul 2023 13:00:35 -0600 Subject: [PATCH] model correction Xnew --- 1-ml-landscape/main.ipynb | 80 +++++++++++++++++++++------------------ 1 file changed, 44 insertions(+), 36 deletions(-) diff --git a/1-ml-landscape/main.ipynb b/1-ml-landscape/main.ipynb index e3de416..f1f0e0f 100644 --- a/1-ml-landscape/main.ipynb +++ b/1-ml-landscape/main.ipynb @@ -111,7 +111,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 1, "id": "86e530da", "metadata": {}, "outputs": [ @@ -157,7 +157,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 2, "id": "7a58ef40", "metadata": {}, "outputs": [ @@ -496,7 +496,7 @@ "[3292 rows x 17 columns]" ] }, - "execution_count": 7, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -507,7 +507,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 3, "id": "d1c803f7", "metadata": {}, "outputs": [ @@ -549,7 +549,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 4, "id": "426e54c9", "metadata": {}, "outputs": [ @@ -591,7 +591,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 5, "id": "20e499fb", "metadata": {}, "outputs": [ @@ -1961,7 +1961,7 @@ "[37 rows x 24 columns]" ] }, - "execution_count": 10, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -2016,7 +2016,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 6, "id": "fc31575a", "metadata": {}, "outputs": [ @@ -2222,7 +2222,7 @@ "[190 rows x 7 columns]" ] }, - "execution_count": 13, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -2235,7 +2235,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 7, "id": "b355820d", "metadata": {}, "outputs": [ @@ -2441,7 +2441,7 @@ "[190 rows x 7 columns]" ] }, - "execution_count": 14, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -2453,7 +2453,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 8, "id": "44bce56b", "metadata": {}, "outputs": [ @@ -2674,7 +2674,7 @@ "[190 rows x 6 columns]" ] }, - "execution_count": 15, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -2694,7 +2694,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 9, "id": "a0cb5245", "metadata": {}, "outputs": [], @@ -2706,7 +2706,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 10, "id": "37cd9901", "metadata": {}, "outputs": [], @@ -2719,7 +2719,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 12, "id": "df9ca7f1", "metadata": {}, "outputs": [ @@ -2937,7 +2937,7 @@ "United States 55805.204 7.2" ] }, - "execution_count": 17, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -2961,7 +2961,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 13, "id": "5bfd30f2", "metadata": {}, "outputs": [], @@ -2972,7 +2972,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 14, "id": "51ac6ffc", "metadata": {}, "outputs": [ @@ -3010,7 +3010,7 @@ " [55805.204]])" ] }, - "execution_count": 19, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -3021,7 +3021,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 15, "id": "ba85eda2", "metadata": {}, "outputs": [ @@ -3059,7 +3059,7 @@ " [7.2]])" ] }, - "execution_count": 20, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -3070,7 +3070,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 16, "id": "75460ea4", "metadata": {}, "outputs": [ @@ -3104,7 +3104,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 17, "id": "13fabb3b", "metadata": {}, "outputs": [], @@ -3116,20 +3116,20 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 18, "id": "86ee41bd", "metadata": {}, "outputs": [ { "data": { "text/html": [ - "
LinearRegression()
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LinearRegression()
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On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "LinearRegression()" ] }, - "execution_count": 25, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -3141,7 +3141,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 19, "id": "25b99bc8", "metadata": {}, "outputs": [ @@ -3173,7 +3173,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 20, "id": "5278c68f", "metadata": {}, "outputs": [ @@ -3183,7 +3183,7 @@ "4.853052800266435" ] }, - "execution_count": 29, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -3196,7 +3196,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 21, "id": "7964db8c", "metadata": {}, "outputs": [ @@ -3206,7 +3206,7 @@ "array([[4.91154459e-05]])" ] }, - "execution_count": 30, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -3219,13 +3219,13 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 22, "id": "2c494d36", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -3235,14 +3235,22 @@ } ], "source": [ - "Xest=np.linspace(0, 60000, 1000)\n", - "plt.plot(X, t0 + t1*X, \"r\", linewidth=3,label=\"Model\")\n", + "Xnew=np.c_[np.linspace(0, 60000, 1000)]\n", + "plt.plot(Xnew, t0 + t1*Xnew, \"r\", linewidth=3,label=\"Model\")\n", "plt.plot(X,y, 'ok', markersize=12, label=\"Data\")\n", "plt.xlabel(\"GDP per capita\", fontsize=20)\n", "plt.ylabel(\"Life satisfaction\", fontsize=20)\n", "plt.legend()\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c413ac56", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": {