The depth of snow in inches has been measured in a very cold location every week since the snow began accumulating. At this point, the season has changed and it is getting warmer, so the pile of snow is beginning to recede but it hasn’t all gone away yet. The depths that have been recorded every week are stored in a file called snowd.dat. For example, it might contain the following:

Write a script that will predict in which week the snow will be totally gone by fitting a quadratic curve through the data points. This will be called the “snow gone week number” and will be rounded up. For example, if the data are as previously shown, the snow would be gone by week number 18. The script will produce a plot in the format shown in Figure 15.16, showing the original data points from the file and also the curve (from week 1 through the snow-gone week). The snow-gone week number will also be printed in the title. The x-axis should range from 0 to the snow-gone week number, and the y-axis from 0 to the maximum snow accumulation.