What is PACF in arima?
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# What is PACF in arima?

This recipe explains what is PACF in arima

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## Recipe Objective

PACF (Partial Autocorrelation function) a single significant spike. It is measure of of relationship with other terms being accounted form (intervening lags) It can help us in understanding where our model fits in similart to that of ACF.

So this recipe is a short example on What is PACF in ARIMA. Let's get started.

## Step 1 - Import the library

``` import numpy as np import pandas as pd from statsmodels.graphics.tsaplots import plot_pacf import matplotlib.pyplot as plt ```

Let's pause and look at these imports. Numpy and pandas are general ones. Here, plot_pacf and plt will help is plotting of ACF pattern of ARIMA model.

## Step 2 - Setup the Data

``` df = pd.read_csv('https://raw.githubusercontent.com/selva86/datasets/master/a10.csv', parse_dates=['date']).set_index('date') ```

Here, we have used one time series data from github. Also, we have set our index to date.

## Step 3 - Plotting PACF

``` plt.figure() plt.subplot(211) plot_pacf(df, ax=plt.gca()) plt.show() ```

We have used plot_pacf to simply plot our PACF model. By observing the plot, the spike below the 0.2 region will be our PACF lag.

## Step 4 - Lets look at our dataset now

Once we run the above code snippet, we will see:

```Srcoll down the ipython file to visualize the results.
```

Clearly, a lag delay at 13 could be seen clearly.

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