Figure those amounts yourself based on whether you received the income while living in New York or New Jersey.
Many bank statements show the interest paid year-to-date. Go to the statement for the month before you moved to NJ. If you earned interest more or less equally throughout the year, you can divide by the number of days or months.
For dividends and capital gains, your consolidated 1099 form will usually break out each dividend and capital gains transaction by date.
You would not be able to average those. Dividends are paid quarterly but capital gains are based on when you sell except for capital gains distributions which often come at the end of the year or on an irregular schedule.
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