ratio of hydrogen environments: corresponds to the integration traces (curly lines) above each peak on the graph. you can try to estimate the size of the curves and what ratio they might be to each other, but it's a little hard to make out here. based on the fact that there's 3 hydrogen environments, this 7-carbon molecule must have some symmetry to have a bunch of equivalent hydrogens. i would guess that the final molecule looks like ch3ch2ch2coch2ch2ch3 just because it gets the right number of hydrogens and hydrogen environments.
splitting patterns: i guess if you can figure out the hydrogen environments, you can also figure out the splittings for each hydrogen environment. my guess would be for the triplet -coch2ch2- hydrogens (next to 2 nonequivalent hydrogens, 2+1=3), multiplet for -ch2ch2ch3 (3+2+1=6, and generally any splitting above 5 is just called multiplet), and triplet for -ch2ch3 (2+1=3).