For most stars, what does a higher temperature tend to go with?

For the majority of the stars, a higher temperature tends to correlate with the higher luminosity.  

Luminosity refers to the rate of the total radiant energy output of a star. It is the inherent brightness of a star covered over the whole electromagnetic spectrum. The luminosity of a star is a determination of its brightness. The more energy emitted, the higher the brightness.  

Temperature also influences the rate of the luminosity of the star. As a star gets hotter or with the increase in temperature, the number of nuclear reactions upsurges, generation of more reactions and more energy takes place. Thus, ultimately resulting in higher luminosity of a star.

when a reversible reaction is occurring in both directions at the same rate; the products and reactants do not change in concentration. a chemical reaction where the compound is broken into its constituent parts.

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