Given dataset:

(1999, 1541.5402773369951),(2000, 1912.1061941556545),(2001, 2075.4865915369805),(2002, 2183.0203643525992),(2003, 2326.334380994092),(2004, 2352.715492041046),(2005, 2355.6822765039533),(2006, 2398.550158488622),(2007, 2545.822058119506),(2008, 2553.114503545823),(2009, 2631.386375983975),(2010, 2675.5653708018403),(2011, 2667.3216183276354),(2012, 2701.5770215622365),(2013, 2694.9895176258133),(2014, 2810.2411101813404),(2015, 2746.5742110618794),(2016, 2873.8288090493497),(2017, 2797.6354497418433),

Question 2. FriendFace is a. small social media website mainly serving IT professionals. Since F'riendFace's inception in 1998, on the 1st of January of every year, the number of active users on the website was recorded. This data is available in the le datasetB.txt in the format (y, N ), with y denoting the year (as per the modern Gregorian calendar) that a recording of N1 the number of active users (measured in thousands), was made. Triple check that you are using the correct dataset. With a, and b unknown parameters, assume that the relationship between N and y can be modelled by the equation N : aln(y 1998) + b. Question 2.1. Linearizing and transforming the data where necessary, use numpy's polyt function to perform a least squares t to determine the values of the unknown parameters a and b for the curve described by the above equation that best ts the given data. Write down the linearized equation, the values of the parameters, and all code used to determine the value; of the parameters. Question 2.2- With the values of a and b as determined, on the same set of axes, make a scatter plot of the given data and make a line plot of the curve with equation N = aln(y 1998) + b with y in the time interval [1999,2030]. Include your plot and all code used to make your plot in your submission. Question 2.3. FriendFace has the goal of reaching 3 million active users by 1 January of the year 2025. Make a prediction of whether or not FriendFace is expected to reach this goal according to this model. Explain fully. [10]