Increased rates of breast, colon and esophageal cancer the caloric intake of that population.

increases

Explanation:

Studies have shown and illustrated that associations between different measures of risks of specific cancers such as breast, colon and esophageal cancer are similar  to some extent the effects and causes of increased caloric intake.

In dietary fats which contains majorly animal protein, is a main factor that increases the caloric intake when being consumed. This is because in dietary fat, there exist some components that possess the likelihood of increasing cancer rate such as aflatoxin, excess nitrite etc. leading to a correlation between dietary fat content and breast, colon and esophageal cancer mortality.

it is definitely false.