diff --git a/Lecture 12/Confidence bounds.ipynb b/Lecture 12/Confidence bounds.ipynb
new file mode 100644
index 0000000..1526d49
--- /dev/null
+++ b/Lecture 12/Confidence bounds.ipynb	
@@ -0,0 +1,317 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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9QbFx7b5b0R/YVlU4PRCEmOq3/cw7NmPRzX33eIlzH1DnkWh+p1r9ikX78mFWdZ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\nEBIggJAAAf8Lg1NKtQGSWacAAAAASUVORK5CYII=",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 420,
+       "width": 420
+      },
+      "text/plain": {
+       "height": 420,
+       "width": 420
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Confidence intervals in linear regression\n",
+    "\n",
+    "\n",
+    "#set up data (true underlying parameters which we dont know in practice)\n",
+    "alpha0=2\n",
+    "alpha1=0.4\n",
+    "\n",
+    "x=seq(-10,10,by=0.5)\n",
+    "e=rnorm(mean = 0,sd = 1.5,n = length(x))\n",
+    "y=alpha0+alpha1*x+e  # set up test data\n",
+    "\n",
+    "plot(x,y,xlim=c(-20,20),ylim=c(-10,15))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<span style=white-space:pre-wrap>'alpha0:  2   beta0:  1.84030841584544      alpha1:  0.4   beta1:  0.347382947225656'</span>"
+      ],
+      "text/latex": [
+       "'alpha0:  2   beta0:  1.84030841584544      alpha1:  0.4   beta1:  0.347382947225656'"
+      ],
+      "text/markdown": [
+       "<span style=white-space:pre-wrap>'alpha0:  2   beta0:  1.84030841584544      alpha1:  0.4   beta1:  0.347382947225656'</span>"
+      ],
+      "text/plain": [
+       "[1] \"alpha0:  2   beta0:  1.84030841584544      alpha1:  0.4   beta1:  0.347382947225656\""
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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IWwAwAAJUfS6SXCDgAAlERGhixdStLp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\nAABJRU5ErkJggg==",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 420,
+       "width": 420
+      },
+      "text/plain": {
+       "height": 420,
+       "width": 420
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#compute linear regression\n",
+    "#regression coefficients : beta0_hat = b0, beta1_hat = b1\n",
+    "\n",
+    "n=length(x)\n",
+    "\n",
+    "\n",
+    "b1= (n*mean(x)*mean(y)-sum(x*y))/(n*mean(x)^2-sum(x^2))\n",
+    "b0=mean(y)-b1*mean(x)\n",
+    "\n",
+    "xnew=seq(-20,20,by=0.5)\n",
+    "plot(x,y,xlim=c(-20,20),ylim=c(-10,15))\n",
+    "lines(xnew,b0+b1*xnew, col=\"red\",lwd=2)\n",
+    "\n",
+    "paste('alpha0: ', alpha0, '  beta0: ', b0, '     alpha1: ', alpha1, '  beta1: ', b1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#compute the confidence intervals for slope and intercept\n",
+    "alpha=0.0005\n",
+    "\n",
+    "se=sqrt(1/(n-2)*sum( (y-b0-b1*x)^2  ))\n",
+    "\n",
+    "deltab0=qt(p = alpha/2,df = n-2)*sqrt(se^2*(1/n + mean(x)^2/sum( (x-mean(x))^2)))\n",
+    "deltab1=qt(p = alpha/2,df = n-2)*sqrt(se^2/sum((x-mean(x))^2))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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T/77LMtW7YEBweT6komVQW7lJSUCxcu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",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 420,
+       "width": 420
+      },
+      "text/plain": {
+       "height": 420,
+       "width": 420
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#maximal slopes\n",
+    "plot(x,y,xlim=c(-20,20),ylim=c(-10,15))\n",
+    "lines(xnew,b0+b1*xnew, col=\"red\",lwd=2)\n",
+    "lines(xnew,b0+(b1+deltab1)*xnew)\n",
+    "lines(xnew,b0+(b1-deltab1)*xnew)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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ps3b86ZM0c/SbdunUyf/iLpKleWCRPk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\n/we+yhIsW57Z1QAAAABJRU5ErkJggg==",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 420,
+       "width": 420
+      },
+      "text/plain": {
+       "height": 420,
+       "width": 420
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#maximal intercept offsets\n",
+    "plot(x,y,xlim=c(-20,20),ylim=c(-10,15))\n",
+    "lines(xnew,b0+deltab0+b1*xnew)\n",
+    "lines(xnew,b0-deltab0+b1*xnew)\n",
+    "lines(xnew,b0+b1*xnew, col=\"red\",lwd=2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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SGCg8WZM2LwYAlSnfIhJh988MHYsWP79Olz5coVPz8/Ut2LEOwAAHhjWVlZI0eO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\nRU5ErkJggg==",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 420,
+       "width": 420
+      },
+      "text/plain": {
+       "height": 420,
+       "width": 420
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#plot all together\n",
+    "plot(x,y,xlim=c(-20,20),ylim=c(-10,15))\n",
+    "lines(xnew,b0+deltab0+b1*xnew)\n",
+    "lines(xnew,b0-deltab0+b1*xnew)\n",
+    "lines(xnew,b0+(b1+deltab1)*xnew)\n",
+    "lines(xnew,b0+(b1-deltab1)*xnew)\n",
+    "lines(xnew,b0+b1*xnew, col=\"red\",lwd=2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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bEDAAB68N130rChuLjIqVO0OvUxmhE7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",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 420,
+       "width": 420
+      },
+      "text/plain": {
+       "height": 420,
+       "width": 420
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#How R does it\n",
+    "mymodel<-lm(y~x)\n",
+    "\n",
+    "prd<-predict(mymodel,newdata=data.frame(x=xnew),interval = c(\"confidence\"), \n",
+    "             level = 1-alpha,type=\"response\")\n",
+    "plot(x,y,xlim=c(-20,20),ylim=c(-10,15))\n",
+    "lines(xnew,prd[,2],col=\"red\",lty=2)\n",
+    "lines(xnew,prd[,3],col=\"red\",lty=2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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a2pqcnJXHfv3nV3dxcm3fnz501MTFhauKiI9uwhDw968aLyiKYmrVhBFhZIujqB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",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 420,
+       "width": 420
+      },
+      "text/plain": {
+       "height": 420,
+       "width": 420
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#plot all together\n",
+    "plot(x,y,xlim=c(-20,20),ylim=c(-10,15))\n",
+    "lines(xnew,b0+deltab0+b1*xnew)\n",
+    "lines(xnew,b0-deltab0+b1*xnew)\n",
+    "lines(xnew,b0+(b1+deltab1)*xnew)\n",
+    "lines(xnew,b0+(b1-deltab1)*xnew)\n",
+    "lines(xnew,b0+b1*xnew, col=\"red\",lwd=2)\n",
+    "lines(xnew,prd[,2],col=\"red\",lty=2)\n",
+    "lines(xnew,prd[,3],col=\"red\",lty=2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "R",
+   "language": "R",
+   "name": "ir"
+  },
+  "language_info": {
+   "codemirror_mode": "r",
+   "file_extension": ".r",
+   "mimetype": "text/x-r-source",
+   "name": "R",
+   "pygments_lexer": "r",
+   "version": "3.6.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/Lecture 7/T-distribution.ipynb b/Lecture 7/T-distribution.ipynb
new file mode 100644
index 0000000..adba328
--- /dev/null
+++ b/Lecture 7/T-distribution.ipynb	
@@ -0,0 +1,93 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "options(repr.plot.width=10, repr.plot.height=6.5)   # this command just formats the size of the figures. Adapt to view them nicely\n",
+    "                                                    # in your browser."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Visualize the t_n distribution and compare it to the normal distribution, z.\n",
+    "# Blue: Standard normal distribution Z~N(0,1).\n",
+    "# Red: T-distribution with df degrees of freedom.\n",
+    "\n",
+    "df=2;  # degrees of freedom in the t-distribution, t_df. df=#datapoints -1\n",
+    "\n",
+    "x=seq(-7,7,by=0.01)\n",
+    "plot(x,dnorm(x),type=\"l\",col=\"blue\", ylab = \"probability density\", xlab = \"T/Z test statistic\")\n",
+    "lines(x,dt(x,df),col=\"red\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Visualize the t_n distribution for different degrees of freedom.\n",
+    "\n",
+    "\n",
+    "df=c(1,2,3,4,5,6,7,8) # build a vector with different values for df\n",
+    "x=seq(-7,7,by=0.01)\n",
+    "\n",
+    "plot(x,dnorm(x),type=\"l\", ylab = \"probability density\", xlab = \"T/Z test statistic\",ylim=c(0,0.5)) # plots a z-distribution \n",
+    "\n",
+    "\n",
+    "\n",
+    "# Plot T-distributions at all the values contained in the df vector\n",
+    "index=0\n",
+    "for (i in df){\n",
+    "index=index+1\n",
+    "lines(x,dt(x,i),type=\"l\",col=rainbow(length(df))[index])\n",
+    "    }"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Visualize the t_n distribution for different degrees of freedom in log\n",
+    "\n",
+    "\n",
+    "df=c(1,2,3,4,5,6,7,8)\n",
+    "x=seq(-7,7,by=0.01)\n",
+    "\n",
+    "plot(x,log(dnorm(x)),type=\"l\",col=\"blue\", ylab = \"probability density\", xlab = \"T/Z test statistic\")\n",
+    "\n",
+    "index=0\n",
+    "for (i in df){\n",
+    "index=index+1\n",
+    "lines(x,log(dt(x,i)),type=\"l\",col=rainbow(length(df))[index])\n",
+    "    }"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "R",
+   "language": "R",
+   "name": "ir"
+  },
+  "language_info": {
+   "codemirror_mode": "r",
+   "file_extension": ".r",
+   "mimetype": "text/x-r-source",
+   "name": "R",
+   "pygments_lexer": "r",
+   "version": "3.6.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/Lecture 7/Z-test.ipynb b/Lecture 7/Z-test.ipynb
new file mode 100644
index 0000000..7ed7439
--- /dev/null
+++ b/Lecture 7/Z-test.ipynb	
@@ -0,0 +1,100 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Z-test\n",
+    "\n",
+    "# Assumption: RV X~N(mu,sigma^2). We know the true sigma, but mu is unknown.\n",
+    "# We make a hypothesis about mu and test it against data.\n",
+    "\n",
+    "# simulated height data\n",
+    "n=8\n",
+    "mu=179        # this is the TRUE mu you dont know (here, you do)\n",
+    "sigma=sqrt(25.9)\n",
+    "\n",
+    "# simulated height data\n",
+    "data <- rnorm(n,mu,sigma)\n",
+    "hist(data,breaks = seq(mu-5*sigma,mu+5*sigma, by=sigma/3))\n",
+    "\n",
+    "# real height data\n",
+    "#data <- c(ENTER DATA HERE)\n",
+    "#n=length(data)\n",
+    "#hist(data,breaks = seq(mu-5*sigma,mu+5*sigma, by=sigma/3))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#1) Hypothesis\n",
+    "# Two sided test: See if the group deviates from mu_0, we dont care if taller or shorter.\n",
+    "\n",
+    "mu0 <- 175\n",
+    "\n",
+    "# null hypothesis H0 : mu = mu0. \n",
+    "\n",
+    "# Goal, disprove H0, thereby prove research hypothesis\n",
+    "# Because we generate the data, we know already the real answer: H0 is wrong.\n",
+    "# Lets see if the test agrees with this.\n",
+    "\n",
+    "#2) Select significance\n",
+    "\n",
+    "alpha=0.05\n",
+    "\n",
+    "#3) Compute test statistic. We are doing a Z test, so we compute the Z statistic.\n",
+    "\n",
+    "Z= (mean(data) - mu0)/sigma *sqrt(n)\n",
+    "\n",
+    "#4) Find critical region.\n",
+    "\n",
+    "# Two-sided test. This means small and large values of z disprove H0. \n",
+    "\n",
+    "K_low=qnorm(p = alpha/2) # This is just R command to compute z_alpha. \n",
+    "K_high=qnorm(p = 1-alpha/2)\n",
+    "\n",
+    "# Alternative, look up in z table.\n",
+    "\n",
+    "#5) Decide.\n",
+    "paste('Z-Value: ',Z)\n",
+    "paste('K_low: ',K_low)\n",
+    "paste('K_high: ',K_high)\n",
+    "if (Z<K_low || Z>K_high) {paste('reject H0')} else {paste('accept H0')}\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Lets do it with R internal commands\n",
+    "\n",
+    "library(BSDA)\n",
+    "z.test(data, y=NULL, mu=mu0, sigma.x=sigma, sigma.y=NULL, alternative=\"two.sided\")"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "R",
+   "language": "R",
+   "name": "ir"
+  },
+  "language_info": {
+   "codemirror_mode": "r",
+   "file_extension": ".r",
+   "mimetype": "text/x-r-source",
+   "name": "R",
+   "pygments_lexer": "r",
+   "version": "3.6.2"
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+ "nbformat_minor": 4
+}