Hi Babcock_Hall, my apologies. Here is what I've been thinking so far:
I can see from the DEPT chart that there is only one methylene group in this structure. This is confirmed by integrating the peaks from the NMR. Now the question arises: where is this the methylene located? I see no peak splitting in the NMR, and therefore, we can assume that it is not situated close to a methine or methyl group.
Using other evidence from the NMR (the slight shift of the CH3, no splitting), I've deduced that the CH3 is attached to the carbonyl (which is evidenced in the IR near 1700). But who's next to the carbonyl? It could either be the carbon with two methyl groups attached to it or it could be the methylene. We can see that the methylene group is noticeably shifted. However, it's not clear whether this shift is due to the benzene ring's deshielding effects or if it's from the carbonyl group. And honestly, I see no evidence to support either hypothesis.