Pat the turkey dry with paper towels. Place the wings underneath the body. Place the rosemary and parsley in the cavity. If you like a tidy-looking bird, tie the drumsticks together using the kitchen string.
Place the carrots, celery, and onions in a metal roasting pan. Transfer the turkey to a wire rack and place it on top of the vegetables.
Place the oil, 1 1/2 teaspoons salt, and 1/2 teaspoon pepper in a small bowl. Stir in the paprika, garlic powder, and thyme. Using your fingers, rub the spice mixture all over the turkey. Roast the turkey uncovered until browned, 30 to 45 minutes.
Add the broth to the pan. Cover the turkey loosely with foil. Reduce oven temperature to 350° F. Roast until a thermometer inserted in a thigh registers 165° F, about 2 hours. Let the turkey rest for at least 30 minutes before carving. Reserve the pan drippings and vegetables for the gravy.