"Scientific studies conducted by Dr. Leonard Sagan, a medical epidemiologist, ... show that social class, education, life skills, and cohesiveness of family and community are key factors in determining life expectancy. Of all these factors, however, education has shown to be the most important. ...Hope, self-esteem, and education are the most important factors in creating daily health, no matter what our background or the state of our health in the past." Christiane Northrup, Women's Bodies, Women's Wisdom p 27 (emphasis in original)
Since homeschoolers tend to get a really good education, grow up feeling confident in their skin, and are often a part of a dynamic, diverse, and tight community, by homeschooling, you are benefiting your children's health and life expectancy.
On self-esteem: "In addition, several studies have been done to measure homeschoolers’ 'self-concept,' which is the key objective indicator for establishing a child’s self-esteem. A child’s degree of self-esteem is one of the best measurements of his ability to successfully interact on a social level. One such study was conducted by John Wesley Taylor, using the Piers-Harris Children’s Self-Concept Scale to evaluate 224 home-schooled children. They study found that 50 percent of the children scored above the 90th percentile, and only 10.3 percent scored below the national average." -HSLDA
The article from HSLDA goes into socialization and connection with peers as well.
So there you go. Homeschooling promotes healthy kids. Obviously there are many factors involved here, and a family can homeschool and be totally abusive or isolated or not do a good job educating their kids, but for the most part, homeschooling families are connected, dedicated to education, and homeschool because they want their kids to grow up strong and healthy.
Keep up the good work!