A linear regression model was used to examine the association between bone mineral density (kg/m3) and magnesium (mmol/l) in well water. The linear regression model also adjusted for age (years). The regression results are below. Which of the following are true? (Select all that apply.)

Select one or more:

a.

After adjusting for age, each unit increase in magnesium in the well water is associated with an increase of 0.314 units of bone mineral density, and this association is statistically significant.

b.

The association between bone mineral density and magnesium in the well water is statistically significant at the 0.05 level.

c.

Each additional year of age is associated with a decrease in bone mineral density of 0.259 kg/m3,after adjusting for magnesium in the well water.

d.

The total model with magnesium in the well water and age explains 92.612% of the variation in bone mineral density.

e.

The association between age and bone mineral density is not statistically significant at the 0.05 level.