For both the predicted sets you proposed (with both the Original values and zeros) I found the same output in R.
[1] 3.5749952 0.7434548 5.1731669 10.0840800 12.3966908 9.1834888 6.8067145
[8] 9.9246630 5.9426798 16.0056136
This shows that the values of C are irrelevant. Furthermore, test.set$c provides you with:
[1] 3.952410 1.443177 5.924198 10.296560 12.268170 9.725431 5.625797 9.597326
[9] 6.503896 16.037176
which is inherently different from the predicted output. This leads me to believe that your code is in fact correct.
