Root Mean Square Error (RMSE) is a standard way to measure the error of a model in predicting quantitative data. Formally, it is defined as follows:
RMSE
The RMSE is calculated using two 1D arrays. The first array, y, contains the true result (reference) for each sample, and the second array contains the model prediction, p, for the same sample. The error is calculated by subtracting each element in p from its analogous element in y and squaring the answer, as described in the equation above.
When the program starts, the user is asked to enter the name of the file that contains the data. The file name is guaranteed not to exceed 20 characters. Then, you should open the supplied file to read the data and calculate the RMSE. The data in the file is organized as follows:
- The first line contains the size of the ID array (i.e., denoted as N in the equation).
- The second line contains the elements of the y array, followed by the content of the p array.
If N is less than or equal to zero or not an integer value, then the program should print "Invalid Size". Also, the number of elements in the file should be 2*N (N for each array). Hence, if the number of elements in the file is less than 2*N, then the program should print "Few elements". Also, if the number of elements in the file is more than 2*N, then the program should print "Many elements".