From f1a2c5e004fcfe19d1d87b653cd2ba03bdb8bd12 Mon Sep 17 00:00:00 2001
From: "xuanyi.wang" <xuanyi.wang@gtsplab.com>
Date: Mon, 22 May 2023 21:11:01 +0200
Subject: [PATCH] Update page 'Solutions to the questions concerning R
 language'

---
 ... to the questions concerning R language.md | 48 +++++++++++++++++++
 1 file changed, 48 insertions(+)

diff --git a/Solutions to the questions concerning R language.md b/Solutions to the questions concerning R language.md
index fdffa29..abfbff3 100644
--- a/Solutions to the questions concerning R language.md	
+++ b/Solutions to the questions concerning R language.md	
@@ -444,4 +444,52 @@ The maximal margin classifier has to be in between observations #2, #3 and #5, #
 =>(2,1.5),(4,3.5)
 b=(3.5−1.5)/(4−2)=1
 a=X2−X1=1.5−2=−0.5
+```
+```
+plot(x1, x2, col = colors, xlim = c(0, 5), ylim = c(0, 5))
+abline(-0.5, 1)
+```
+
+
+**iii.**
+```
+0.5−X1+X2>0
+```
+
+**iv.**
+```
+plot(x1, x2, col = colors, xlim = c(0, 5), ylim = c(0, 5))
+abline(-0.5, 1)
+abline(-1, 1, lty = 2)
+abline(0, 1, lty = 2)
+```
+
+**v.**
+```
+plot(x1, x2, col = colors, xlim = c(0, 5), ylim = c(0, 5))
+abline(-0.5, 1)
+arrows(2, 1, 2, 1.5)
+arrows(2, 2, 2, 1.5)
+arrows(4, 4, 4, 3.5)
+arrows(4, 3, 4, 3.5)
+```
+
+**vi.**
+
+A slight movement of observation #7 (4,1) blue would not have an effect on the maximal margin hyperplane since its movement would be outside of the margin.
+
+**vii.**
+```
+plot(x1, x2, col = colors, xlim = c(0, 5), ylim = c(0, 5))
+abline(-0.8, 1)
+```
+
+```
+−0.8−X1+X2>0
+```
+
+**viii.**
+```
+plot(x1, x2, col = colors, xlim = c(0, 5), ylim = c(0, 5))
+points(c(4), c(2), col = c("red"))
 ```
\ No newline at end of file