# Statistics For Data Science with Python — Correlation & Regression(9/10)

Correlation & Regression

### Concepts

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833885710/fbR3zyIhx.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833887424/H-6PEJYVG.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833889017/glG-E4RVO.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833890661/29xmSSkD2.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833892301/fv9uitaUD.png)

### Python Notebook

### Determination Coeficient

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833893773/nOsND-l9d.jpeg)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833895799/83RsrPA6j.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833897419/c5owV8IKO.jpeg)

### Correlation Coeficient

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833900115/FyRxWKAHU.gif)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833901549/bsFSgWAlW.gif)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833902923/U7JdsVqPe.gif)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833904390/--pftTOK3.gif)

### Notebook Python I

#### 1.Create a Dataset

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833905944/rxlndX0p5.png)

#### 2\. Statistics Calculation: Mean & Standard Desviation

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833907634/Nbuy0U1fX.png)

#### 3\. Correlation Manual Calculate

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833909338/1LRu9ntiRc.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833911223/MtkINHX0y.png)

#### Relation Linear House Lenght x House Price

X = House\_Tamanho

Y = House\_Preco

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833912581/P4TdaDDz5.png)

#### 4\. Correlation with Numpy & Pandas

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833914042/K_qQCDHWA.png)

#### 5\. Correlation with Numpy & Pandas

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833915665/Sbl3fHbTs.png)

### House Price Correlation

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833918926/joDVDmcAL.jpeg)

Photo by [Kyle Mills](https://unsplash.com/@kylmls?utm_source=medium&utm_medium=referral) on [Unsplash](https://unsplash.com?utm_source=medium&utm_medium=referral)

#### House Dataset

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833920788/u5R3JkS9N_.png)

### House Correlation

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833922634/Xhg-SG4NQ.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833924493/M9KWS4Prl.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833926206/g8Htywwax.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833928151/rrjbbIMWg.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833930062/y2E4uQ0d4.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833931854/FZuwndqi-.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833939164/aOgIdaXdr.png)

### Yellowbrick: Machine Learning Visualization

#### Correlation with Library Yellowbrick

[https://www.scikit-yb.org/en/latest/](https://www.scikit-yb.org/en/latest/)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833941146/s5H2qZM7K.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833943115/a83PTU6Ao.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833944779/3NG5ef7xb.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833946503/B1cPi47H9.png)

### Linear Regression

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833951191/xdR0glLzh.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833953512/RVvfpCAU1.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833955038/HS6647NfJ.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833957328/iPgCKSvls.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833958886/bSLt--wWX.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833960621/28Uv6WMFo.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833962567/NJaBoIQFD.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833964133/hG63WAWL4.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833965580/FEn82_FTs.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833966998/i2xt6-lOt.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833968420/ZuccUdDHY.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833969877/RP_4BXgxs.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833971568/6iHnrdHQw.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833973247/Q7a9S2NIkw.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833975123/nCxaoUEu3.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833976680/v6ZwH5syJ.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833978652/jBtXhQGj0.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833980219/4TUT5ON_j.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833981743/RZ6eIaqiz.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833983550/x4khhFV8A.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833985389/Yqn9bSj-x.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833987118/GUV6NStjy.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833989200/Dc8ru1e5G.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833991204/OtRcCgGPU.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833993224/GCwl9K21s.png)

### Simple Linear Regression

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833995018/_1yXHthIK.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833996654/kcLkAKKXC.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833997974/qQ_zEswgq.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662833999690/hzCzMVF9S.png)

### Erros Metric

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662834001320/ghQWsA9xq.png)

### Multiples Linear Regression

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662834003209/Z_icO520t.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662834005138/JgJHqM3AV.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662834006944/BI94CvLl8.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662834008605/6tApzG1cd.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662834010329/jUVXVvETj.png)

### Atributes Selection

[https://scikit-learn.org/stable/modules/generated/sklearn.feature\_selection.SelectFdr.html](https://scikit-learn.org/stable/modules/generated/sklearn.feature_selection.SelectFdr.html)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662834011984/TPwJ65iCr.png)

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1662834013698/Tq44v1SQY.png)

### Python Notebook II