3. A researcher wanted to know if cola consumption is associated with lower bone mineral density in women. The least squares regression line, treating cola consumption as the explanatory variable (in number of colas per week), is the following: Bone density = 0.8861 0.0029(cola consumption), where bone mineral density is measured in grams per square centimeter

a. Identify the slope and interpret it in the context of the problem.

b) Identify the y-intercept and interpret it in the context of the problem. Does your interpretation make sense? Is 0 a reasonable value for the explanatory variable?

c) Predict the bone mineral density of a woman who consumes four colas a week.