attempting latex

Author: Lindsay Levene

ch1.ipynb

@@ -608,28 +608,39 @@
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": null,
+   "cell_type": "markdown",
    "id": "e8d7b8b3-1680-4d53-ae30-4804f79d2868",
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "source": [
+    "When creating a prediction for a future time step there are 3 different approaches that could take place. \n",
+    "        1. Using the last observation and carrying whatever that value was on for the rest of time\n",
+    "        2. Take a average of all the observations already seen and use that to predict the next time steps\n",
+    "        3. A combination of 1 and 2 which is also known as Simple Exponential Smoothing \n",
+    "\n"
+   ]
   },
   {
-   "cell_type": "code",
-   "execution_count": null,
+   "cell_type": "markdown",
    "id": "915fd2f8-fb4a-4937-aac0-09a36bef5785",
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "source": [
+    "\\begin{align} \n",
+    "y_{T+h|T} = \\alpha y_T + (1 - \\alpha)\\hat{y}_{T|T-1}\\\\ \n",
+    "\\alpha\\ \\text{is a parameter with a value between 0 and 1.} \\\\\n",
+    "y_T\\ \\text{is an observation at time T which is a future point}\n",
+    "\\end{align}"
+   ]
   },
   {
-   "cell_type": "code",
-   "execution_count": null,
+   "cell_type": "markdown",
    "id": "363ad686-aaf7-427d-9362-87cd366317c6",
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "source": [
+    "\\begin{align} \n",
+    "\n",
+    "\\text{if}\\ \\alpha = 0\\\\ y_{T+h|T} = \\hat{y}_{T|T-1}\n",
+    "\\end{align}"
+   ]
   },
   {
    "cell_type": "code",
@@ -664,7 +675,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.6"
+   "version": "3.14.2"
   }
  },
  "nbformat": 4,