We derive the consistency relations for a chaotic inflation model with a non-minimal coupling to gravity .
For a quadratic potential in the limit of a small non-minimal coupling parameter \xi and for a quartic potential without assuming small \xi , we give the consistency relations among the spectral index n _ { s } , the tensor-to-scalar ratio r and the running of the spectral index \alpha .
We find that unlike r , \alpha is less sensitive to \xi .
If r < 0.1 , then \xi is constrained to \xi < 0 and \alpha is predicted to be \alpha \simeq - 8 \times 10 ^ { -4 } for a quartic potential .
For a general monomial potential , \alpha is constrained in the range -2.7 \times 10 ^ { -3 } < \alpha < -6 \times 10 ^ { -4 } as long as | \xi| \leq 10 ^ { -3 } if r < 0.1 .