Rocketqueen,
I will discuss this issue with you but not if you carry on, if you are rude, or if you attempt to insult me. If you'd like to have a calm, respectful, rational discussion based on the facts and science, I am happy to do so.
What you are looking at is something called postexercise oxygen consumption or EPOC. This is the amount of oxygen consumption following exercise. RER is the respiratory exchange ratio and it tells you the percent of fat being burned, and so it's important when you're thinking about fat and weight loss in relation to exercise. Both of these are important when considering the metabolic rate after exercise.
I have done literature reviews in the past on this subject and do not intend to do another one, but I have posted a few study abstracts for you that are representative of the literature that exists on this subject. In addition, I have tested many people myself in our metabolic chamber and the metabolic rate the majority of the time returns to baseline within 20-30 minutes after bouts of 30-40 minutes of aerobic exercise, whether the person is lean or obese.
I want to repeat my earlier post and say to you that high intensity aerobic exercise (such as intervals) will raise metabolic rate at most for a few hours after exercise, and lower intensity may raise it for as little as 30 minutes. Of course, during both high and low intensity exercise metabolic rate rises as you burn calories to fuel the activity. Resistance exercise, on the other hand, can raise metabolism for many hours, and in some cases, when the exercise is very intense, it could be as long as 10-12 hours.
In this first study abstract I have for you you will read that the data shows that the intensity of the aerobic exercise is the main factor that affects EPOC. You will see that EPOC after high intensity exercise will last for only several hours, and not all day or overnight, and at lower intensities, like most people train at, the effect is minimal. Like I said, high intensity interval training will have more of an effect than lower intensity, but it still only goes for a few hours at best. Here's the link
http://www.ncbi.nlm.nih.gov/pubmed/14599232 If you read the abstract of this study carefully you will see that the EPOC did not last more than 33 minutes.
http://www.ncbi.nlm.nih.gov/pubmed/2626089 In this one the EPOC did not last more than 27 minutes.
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1478795/ In this recent study from 2011
http://www.ncbi.nlm.nih.gov/pubmed?term=Excess%20postexercise%20oxygen%20consumption%20is%20unaffected%20by%20the%20resistance%20and%20aerobic%20exercise%20order%20in%20an%20exercise%20session the investigators used a combination of resistance (3 sets 10 reps 5 exercises) and aerobic exercise (30 minutes on a treadmill). The respiratory exchange ratio decreased to lower than the baseline within 10 minutes of stopping exercise.
If you'd like to do your own research on the topic and post back some of the articles that you find, or that you have already read, that show that metabolic rate stays elevated for 12 hours or more after aerobic exercise, or that it lasts until you go to bed, even if you exercise at 9:00am, then I am happy to look at them and make comments. But again, I will not respond unless you agree to have a calm, respectful, and rational discussion based on the facts backed up by science.
Rich