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Merge pull request #113 from neonquill/fix_typos_05

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Fix a couple of typos found in Chapter 5.
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Roger Labbe 2016-08-28 07:45:42 -07:00 committed by GitHub
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05-Multivariate-Gaussians.ipynb
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@ -1237,7 +1237,7 @@
"$$\\Sigma = \\begin{bmatrix}\\sigma_H^2 & \\sigma_{H,W} \\\\\n",
"\\sigma_{W,H} & \\sigma_{W}^2\\end{bmatrix}$$\n",
"\n",
"We just computed the variance of the height, and it will go in the upper left hand corner of the matrix. The lower right corner contains the variance in heights. Using the same equation we get:\n",
"We just computed the variance of the height, and it will go in the upper left hand corner of the matrix. The lower right corner contains the variance in weights. Using the same equation we get:\n",
"\n",
"$$\\begin{aligned}\n",
"\\mu_W &= \\frac{1}{5}(70.1 + 91.2 + 59.5 + 93.2 + 53.5) = 73.5 \\\\\n",
@ -2975,7 +2975,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that the variance is smaller in relation to the variances, reflecting the lower correlation between $X$ and $Y$. We can still fit a straight line through this data, but there is much greater variation in the data.\n",
"We see that the covariance is smaller in relation to the variances, reflecting the lower correlation between $X$ and $Y$. We can still fit a straight line through this data, but there is much greater variation in the data.\n",
"\n",
"Finally, here is the covariance between completely random data."
]