Raise in temperature increases speed of light in medium as its optical density decreases. At the same time for different wavelength of incident light have different refractive index.
Refractive index can be written as n=λvλm, where λv is the wavelength in vacuum and λm is the wavelength of the medium.
Absolute refractive index of a material depends upon density and temperature of the material. It also depends upon the wavelength of the incident light.