Question: 3. (3 points) Let $y_{1}, ldots, y_{n}$ be numbers, and $bar(y)=frac{1}{n} sum_{i=1}^{n} y_{i}$. Show that $sum_{i=1}^{n}left(y_{i}-bar{y} ight)^{2}=sum_{i=1}^{n} y_{i}^{2}-n bar{y}^{2} .$ SP.PB. 189

$3. (3 points) Let $y_{1}, \ldots, y_{n}$ be numbers, and $\bar(y)=\frac{1}{n}$

3. (3 points) Let $y_{1}, \ldots, y_{n}$ be numbers, and $\bar(y)=\frac{1}{n} \sum_{i=1}^{n} y_{i}$. Show that $\sum_{i=1}^{n}\left(y_{i}-\bar{y} ight)^{2}=\sum_{i=1}^{n} y_{i}^{2}-n \bar{y}^{2} .$ SP.PB. 189

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