Final answer:
The statement is supported by Hill's criteria for assessing causation, specifically the criteria of strength of association.
Step-by-step explanation:
Hill's criteria for assessing causation is supported by the statement is the criteria of strength of association. The statement provides evidence of an increasing cancer mortality risk as BMI increases. The risks for men who were slightly overweight, moderately overweight, and greatly overweight were 1.2, 1.3, and 1.5, respectively, compared to men of normal weight. This shows a strong positive association between BMI and cancer mortality.