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# How to determine Pearsons correlation in Python?

# How to determine Pearsons correlation in Python?

This recipe helps you determine Pearsons correlation in Python

Pearson"s correlation is very important statical data that we need many times. We can calculate it manually but it takes time.

So this is the recipe on how we can determine Pearson"s correlation in Python

```
import matplotlib.pyplot as plt
import statistics as stats
import pandas as pd
import random
import seaborn as sns
```

We have imported stats, seaborn and pandas which is needed.

We have created a empty dataframe and then added rows to it with random numbers.
```
df = pd.DataFrame()
df["x"] = random.sample(range(1, 100), 75)
df["y"] = random.sample(range(1, 100), 75)
print(); print(df.head())
```

We hawe defined a function with differnt steps that we will see.

- We have calculated mean and standard deviation of x and length of x
- We atre calculating mean and standard deviation of y
- We are calculating standard score by dividing difference of observation and mean with standard deviation. We have done this for both X and Y

```
def pearson(x,y):
n = len(x)
standard_score_x = []; standard_score_y = [];
mean_x = stats.mean(x)
standard_deviation_x = stats.stdev(x)
```

```
mean_y = stats.mean(y)
standard_deviation_y = stats.stdev(y)
```

```
for observation in x:
standard_score_x.append((observation - mean_x)/standard_deviation_x)
for observation in y:
standard_score_y.append((observation - mean_y)/standard_deviation_y)
return (sum([i*j for i,j in zip(standard_score_x, standard_score_y)]))/(n-1)
```

```
result = pearson(df.x, df.y)
print()
print("Pearson"s correlation coefficient is: ", result)
sns.lmplot("x", "y", data=df, fit_reg=True)
plt.show()
```

x y 0 96 62 1 1 81 2 27 73 3 55 26 4 83 93 Pearson"s correlation coefficient is: -0.006387074440361877

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