This homework came with a file called data.txt$,$ which contains coordinates of $N=1000$ points in two dimensions. Line $i$ in the file has two numbers, $x_i$ and $y_i,$ which are the coordinates of point i$.$ Write and run a Matlab program that reads this file $($use the load function$)$ and performs the following tasks. In your $.$pdf file submission, make sure you include a description of your approach, your commented source code, all answers, and the figure.

a$)$ Computes and prints the range, mean, and median of the $y$ coordinates, without using the built$-$in mean or median functions. You can use the functions min, max, sort.

b$)$ Plots all points in the $(x,y)$ plane using symbols based on the $x$ values: blue squares, red circles, green triangles, magenta stars for the first, second, third, and fourth quartiles of the $x$ value, respectively. Note, the first quartile contains the quarter of the points that have the lowest $x$ value, etc. You may find the function sortrows helpful.

c$)$ Computes a linear fit of the $(x,y)$ data, prints out the slope and $y$ intercept of the line, and plots the line on the same figure as the data symbols. You can use the polyfit function.