From 428f2540d9a201aaae571b3a5b656c912e494df2 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Pawe=C5=82=20Sk=C3=B3rzewski?= <pawel.skorzewski@amu.edu.pl>
Date: Fri, 28 Oct 2022 15:49:05 +0200
Subject: [PATCH] =?UTF-8?q?Wyk=C5=82ad=202=20-=20poprawki?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
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---
 wyk/02_Regresja_liniowa.ipynb | 37558 +-------------------------------
 1 file changed, 6 insertions(+), 37552 deletions(-)

diff --git a/wyk/02_Regresja_liniowa.ipynb b/wyk/02_Regresja_liniowa.ipynb
index 2ebe9c4..2e6b05f 100644
--- a/wyk/02_Regresja_liniowa.ipynb
+++ b/wyk/02_Regresja_liniowa.ipynb
@@ -323,1057 +323,7 @@
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@@ -1886,16717 +836,7 @@
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       "text/plain": [
        "<Figure size 960x540 with 1 Axes>"
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@@ -38675,8 +1129,8 @@
     "$$ \\begin{array}{rcl}\n",
     "\\dfrac{\\partial}{\\partial \\theta_j} J(\\theta)\n",
     " & = & \\dfrac{\\partial}{\\partial \\theta_j} \\dfrac{1}{2m} \\displaystyle\\sum_{i = 1}^{m} \\left( h_{\\theta} \\left( x^{(i)} \\right) - y^{(i)} \\right) ^2 \\\\\n",
-    " & = & 2 \\cdot \\dfrac{1}{2m} \\displaystyle\\sum_{i=1}^m \\left( h_\\theta \\left( x^{(i)} \\right) - y^{(i)} \\right) \\cdot \\dfrac{\\partial}{\\partial\\theta_j} \\left( h_\\theta \\left( x^{(i)} \\right) - y^{(i)} \\right) \\\\\n",
-    " & = & \\dfrac{1}{m}\\displaystyle\\sum_{i=1}^m \\left( h_\\theta \\left( x^{(i)} \\right) - y^{(i)} \\right) \\cdot \\dfrac{\\partial}{\\partial\\theta_j} \\left( \\displaystyle\\sum_{i=0}^n \\theta_i x_i^{(i)} - y^{(i)} \\right)\\\\\n",
+    " & = & 2 \\cdot \\dfrac{1}{2m} \\displaystyle\\sum_{i=1}^m \\left( \\left( h_\\theta \\left( x^{(i)} \\right) - y^{(i)} \\right) \\cdot \\dfrac{\\partial}{\\partial\\theta_j} \\left( h_\\theta \\left( x^{(i)} \\right) - y^{(i)} \\right) \\right) \\\\\n",
+    " & = & \\dfrac{1}{m}\\displaystyle\\sum_{i=1}^m \\left( \\left( h_\\theta \\left( x^{(i)} \\right) - y^{(i)} \\right) \\cdot \\dfrac{\\partial}{\\partial\\theta_j} \\left( \\displaystyle\\sum_{k=0}^n \\theta_k x_k^{(i)} - y^{(i)} \\right) \\right) \\\\\n",
     " & = & \\dfrac{1}{m}\\displaystyle\\sum_{i=1}^m \\left( h_\\theta \\left( x^{(i)} \\right) -y^{(i)} \\right) x_j^{(i)} \\\\\n",
     "\\end{array} $$"
    ]