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There are many scientific studies.

For all the variables, check table 1 of the following for "Zero-order Pearson’s correlations between facial appearance and health, with the corresponding p-values and sample sizes":

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5290736/

If you want more example for a given variable, for example the effect of adiposity (we know it's quadratic), read one of the original papers:

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6308207/

All this is well known now, as the first study was about 22 years ago:

Perrett, D. I., Lee, K. J., Penton-Voak, I., Rowland, D., Yoshikawa, S., Burt, D. M., … Akamatsu, S. (1998). Effects of sexual dimorphism on facial attractiveness. Nature, 394(6696), 884–887. doi:10.1038/29772



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