Would an endotherm or ectotherm have a higher rate of respiration? why?

Endotherms generally breathe in about 20 times as much air as ectotherms, because of their higher basal metabolic rates. When an endotherm is doing absolutely nothing, it still burns energy to maintain a high internal body temperature, because it constantly loses heat to the environment, which is in general lower in temperature than the body. For example, at room temperature (25 deg. C), the body of an endotherm is some 13 deg.C or higher than the surroundings. Since heat flows from areas of high temperature to areas of low temperature, an endotherm will continue losing heat under most conditions. If an endotherm finds itself in a hot environment, it becomes impossible for it to lose heat, but the body continues to produce heat. Prolonged exposure to high temperatures therefore may cause a heat stroke and may kill an endotherm.

endotherms have a hgher rate of metabolism

the high rate of metabolism produces heat as a byproduct, and allows the to control their body temperature

ectotherms don't need as high a metabolism rate, they can just use the outside temperature to heat or cool themselves, though it isn't as reliable as producing their own heat