How to write a proper research paper with the use of pronouns referring to myself?
Solution 1:
Is it really necessary to inform the reader of who prepared the table? I think the best solution is to restructure such sentences to avoid having to refer to the agent at all. For example:
It is likely that this will produce several improvements.
and
For a better explanation of the features and functionality of this product, see Table 1.
After all, the reader doesn't really care that the table has been prepared (by you or anyone), just that it exists.
Solution 2:
It is quite acceptable to use the personal pronoun--singular or plural, as the case might be--when attributing specific actions to yourself as author or to yourself and your colleagues as coauthors. In fact, this is preferred over a convoluted passive-voice construction. Thus, your second shaded example is perfectly acceptable. This accords with APA 6th ed.