_m_(_m_ + 1) (2_m_ +1)
= _N_² ———————————————————————
6
(_F₁_ + 2_F₂_ + &c. + _mFₘ_)
∴ _k_ = 6 ————————————————————————————— .
_Nm_(_m_ + 1) (2_m_ + 1)
In the case of Table III.
_m_ = 8, _N_ = 14,
_F₁_ + 2_F_ + 3_F₃_ + _mFₘ_ = 770·9;
whence _k_ = 0·27.
Thus the formula _F_ = 0·27 _R_ is deduced both by the method of least
squares, and by the method of graphical construction.