In python: Background

In this assignment, you will be working with correlation data to create a correlogram. A correlogram is a visual representation of the correlation between two variables over a period of time. It is a useful tool for identifying patterns and trends in data.

Task

Your task is to create a correlogram using the provided data and then add another figure to the plot.

Part $1$: Create the Correlogram

Import the necessary libraries and set a random seed for reproducibility.

Generate two random sets of data, x and y$,$ each with $100$ points.

Create a subplot and use the xcorr function to plot the correlogram.

Make sure to use vertical lines $($usevlines$=$True$),$ set the maximum number of lags to $50($maxlags$=50),$ normalize the data $($normed$=$True$),$ and set the line width to $2($lw$=2).$

Part $2$: Add Another Figure

Modify the subplot creation to accommodate two plots $($fig$,[$ax$1,$ ax$2]=$ plt$.$subplots$(2,1)).$

Add another figure to the second axis $($ax$2)$ using the acorr function to plot the autocorrelation of x$.$

Make sure to use the same parameters as in Part $1$ for consistency.

Submission

Submit your Python code that generates the correlogram with the additional figure. Ensure that your code is well$-$commented and follows best practices.