Question

Because colas tend to replace healthier beverages and colas contain caffeine and phosphoric​ acid, researchers wanted to know whether cola consumption is associated with lower bone mineral density in women. The accompanying data lists the typical number of cans of cola consumed in a week and the femoral neck bone mineral density for a sample of 15 women.

Colas per week   Bone Mineral Density (grams per cubic centimeter)
0   0.907
0   0.896
1   0.880
2   0.842
2   0.851
2   0.835
2   0.835
3   0.814
5   0.757
5   0.762
5   0.758
6   0.729
6   0.727
7   0.709
8   0.676

​(a) Find the​ least-squares regression line treating cola consumption per week as the explanatory variable.

ŷ =__?__x+(__?__)

(Round to three decimal places as​ needed.)

Answer 1

Using Minitab software, (Stat -> Regression -> Regression -> Fit Regression Model), we get the following output :

a) The least-squares regression line treating cola consumption per week as the explanatory variable is