One of the reasons the peak demand is hard to interpolate from the energy use is that the peak is usually measure in 15 minute windows while the energy used over the month covers every increment of time -- as mentioned above, the residential usage is not normally metered for peak demand, I suspect because the demand won't justify the additional cost of the meter and it may not affect what the residential customer pays anyway --
they had a time-of-day pricing implemented for (as requested by the residential customer) in one of the NW states (Washington??) -- they were to get a slight break on their usage (cents/kwh) by shoving all their descretionay loads (washing dishes, washing clothes, drying clothes, etc) to the evening hours and as a result, I recall that many if not most of the residential users saw their bill actually go up -- after numerous complaints, and possibly pending lawsuits (I don't have the artical available), the program was dropped...