There is no direct formula, however...
is a calculator for a calculation of minutes of activity vs your weight vs which activity and you get an approximate calorie burn. Note by picking running, there are several paces to choose from because as you get faster, you burn more calories per minute than if you run slower.
There is also a caloric needs calculator, to figure out how many calories you need for the rest of the day. http://www.marathonguide.com/FitnessCalcs/Caloricneeds.cfm
Add the two together, and you get how many calories you burn in an entire day.
For every 3500 calories you burn, you will lose 1 lb.
Doing these things, you can plug in your normal daily calorie burn, calorie intake, and then see what difference running faster will make.
Hope this helps!
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