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- Day 7: Pearson Correlation Coefficient I

# Day 7: Pearson Correlation Coefficient I

# Day 7: Pearson Correlation Coefficient I

**Objective**

In this challenge, we practice calculating the *Pearson correlation coefficient*. Check out the Tutorial tab for learning materials!

**Task**

Given two -element data sets, and , calculate the value of the Pearson correlation coefficient.

**Input Format**

The first line contains an integer, , denoting the size of data sets and .

The second line contains space-separated real numbers (scaled to *at most* one decimal place), defining data set .

The third line contains space-separated real numbers (scaled to *at most* one decimal place), defining data set .

**Constraints**

- , where is the value of data set .
- , where is the value of data set .
- Data set contains unique values.
- Data set contains unique values.

**Output Format**

Print the value of the Pearson correlation coefficient, rounded to a scale of decimal places.

**Sample Input**

```
10
10 9.8 8 7.8 7.7 7 6 5 4 2
200 44 32 24 22 17 15 12 8 4
```

**Sample Output**

```
0.612
```

**Explanation**

The mean and standard deviation of data set are:

The mean and standard deviation of data set are:

We use the following formula to calculate the Pearson correlation coefficient: