Suppose a friend tells you he has a temperature of 38C. Your temperature is 37C. Do the particles that make up your body or your friends body have the greater average kinetic energy?
Kinetic energy produces heat. So the more kinetic, more thermal. So with that logic, your friend has more kinetic energy
Kinetic Energy implies "mass X velocity"!!!???.
What increases with temperature is the "Entropy" of your body.