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69 | 69 | " - Taller humans have more volume that shorter humans\n",
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70 | 70 | " - Thus taller humans weight more (I know this is super-basic, that's the point)\n",
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71 | 71 | "- Thus the weight of a human falls back on simple physics: **the shape of a human determines their mass, and thus their weight**\n",
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72 |
| - "- We can model the **shape** of a human in lots, of ways, but the simplest (albeit cartoonish) is probabily as a cylindar.\n", |
73 |
| - " - rare that people are wider than they are tall -- we can model radius of cylindar as proportion of height\n", |
| 72 | + "- We can model the **shape** of a human in lots, of ways, but the simplest (albeit cartoonish) is probabily as a cylinder.\n", |
| 73 | + " - rare that people are wider than they are tall -- we can model radius of cylinder as proportion of height\n", |
74 | 74 | " - push statistical estimation as far down the analysis pipeline as possible\n",
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75 | 75 | "\n",
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76 | 76 | "### Cartoonish Scientific model\n",
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80 | 80 | "\n",
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81 | 81 | "$$\n",
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82 | 82 | "\\begin{align*}\n",
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83 |
| - "V &= \\pi r^2 h &\\text{Volume of cylindar} \\\\\n", |
| 83 | + "V &= \\pi r^2 h &\\text{Volume of cylinder} \\\\\n", |
84 | 84 | "V &= \\pi (ph)^2 h &\\text{radius as proportion of height, } p \\\\\n",
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85 | 85 | "W &= kV = k\\pi (ph)^2 h &\\text{converting volume to weight} \\\\\n",
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86 | 86 | "W &= k\\pi p^2 h^3 \\\\\n",
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625 | 625 | "metadata": {},
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626 | 626 | "source": [
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627 | 627 | "### Insightful errors\n",
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628 |
| - "- not bad for a cylindar\n", |
| 628 | + "- not bad for a cylinder\n", |
629 | 629 | "- poor fit for children\n",
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630 | 630 | "- in scientific model, errors are informative\n",
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631 | 631 | " - likely $p$ is different for children"
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710 | 710 | "id": "51a1ebb0-e3be-42a7-8cbc-c4f563e774a0",
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711 | 711 | "metadata": {},
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712 | 712 | "source": [
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713 |
| - "### Fit the dimensionless cylindar model\n", |
| 713 | + "### Fit the dimensionless cylinder model\n", |
714 | 714 | "\n",
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715 | 715 | "$$\n",
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716 | 716 | "\\begin{align*}\n",
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