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typo fix
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yurchisin committed Nov 14, 2024
1 parent 353bd4b commit 65db852
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"\n",
"---\n",
"## 5. Set the objective\n",
"The goal is to minimize the least squared error. In this step, we will write the following objective\n",
"The goal is to minimize the squared error. In this step, we will write the following objective:\n",
"$$\n",
"\\begin{align*}\n",
"{\\rm minimize} & \\quad \\displaystyle \\sum_{\\text{data points }i} \\left(y_{\\text{model},i} - y_i\\right)^2 \n",
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"source": [
"---\n",
"## 7. View the solution\n",
"In the next section, we will plot our resulting regtession model alongside the data. \n",
"In the next section, we will plot our resulting regression model alongside the data. \n",
"\n",
"We pulled this data from [dirMM - Fitting the Michaelis-Menten Model](https://cran.r-project.org/web/packages/renz/vignettes/dirMM.html). This R package also gives its values for $V_\\text{max} = 181.182$ and $K_m=3.115$. As you can see our values may differ from this. Let's plot them and see which looks better. I have also calculated the Mean Squared Error (MSE) for both lines and added it to the chart."
]
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Expand Up @@ -440,7 +440,7 @@
"\n",
"---\n",
"## 5. Set the objective\n",
"The goal is to minimize the least squared error. In this step, we will write the following objective\n",
"The goal is to minimize the squared error. In this step, we will write the following objective:\n",
"$$\n",
"\\begin{align*}\n",
"{\\rm minimize} & \\quad \\displaystyle \\sum_{\\text{data points }i} \\left(y_{\\text{model},i} - y_i\\right)^2 \n",
Expand Down Expand Up @@ -549,7 +549,7 @@
"source": [
"---\n",
"## 7. View the solution\n",
"In the next section, we will plot our resulting regtession model alongside the data. \n",
"In the next section, we will plot our resulting regression model alongside the data. \n",
"\n",
"We pulled this data from [dirMM - Fitting the Michaelis-Menten Model](https://cran.r-project.org/web/packages/renz/vignettes/dirMM.html). This R package also gives its values for $V_\\text{max} = 181.182$ and $K_m=3.115$. As you can see our values may differ from this. Let's plot them and see which looks better. I have also calculated the Mean Squared Error (MSE) for both lines and added it to the chart."
]
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],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"display_name": "gurobi_ml",
"language": "python",
"name": "python3"
},
Expand All @@ -641,7 +641,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.7"
"version": "3.11.6"
}
},
"nbformat": 4,
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