I have verified your days. You are correct. You have been outside 952 day in the last 5 years.
At this moment, unfortunately you would not qualify for naturalization. However, I suggest that you wait just one month and apply on October 4, 2015 which would be 5 years since you returned on October 4, 2011. That means that your trip from 3/29/2011- 10/04-2011 would NOT be counted towards naturalization. That would leave your days outside the US at 773 instead of 952 and your chances would be much better.
Keep in mind that for naturalization you are also not supposed to have any trips outside the US of more than 180 days/6 months in the 5 years before you are applying. This is because it is considered that you did not have the required continuous residence in the US when you spend more than 180 days out in one trip. If you apply in October 2015, you will have had THREE trips of more than 180 days (2012,2013,2014). However, For trips outside the US of more than 180 days, USCIS does give you a chance to prove that although you were outside for more than the allowed time, you did NOT break your continuous residence in the US. Some ways that you can prove that are by showing that you had a home rented here or mortgage, that you paid income taxes, that you maintained a US bank account, that you paid other bills/cell phone in the US, etc. In your case your daughter can write you a letter confirming that you live with her in the US. You should also show the income tax transcripts and anything else you have. You would have to show as much of this as possible to have a better chance. It will be up to the office in your interview to decide whether they feel it is enough documentation to approve you. No one can know for sure the result until you apply.
Good luck to you during this process and I hope this answer has helped you!
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