colas and bone density Bone mineral density 08861 0002889 Nu

colas and bone density Bone mineral density 0.8861 0.002889 Number of colas per week 0.895 0.0058213 R-sq 64.9% R-Sq(ad 62.2% 0.890 0,885 0.880 0.875 0.870 0,865 0.860 0 1 3 4 5 6 7 8 9 Number of colas per week 10a. a complete sentence interpret what 0.002889 means. (5points) 10b. In a complete sentence interpret what 0.8861 means. (5 points) 10c. Estimate the bone mineral density for someone who drinks 5.25 colas per week. If you can\'t estimate the answer, please give a reason why. (5 points) 10d. Estimate the bone mineral density for someone who drinks 10.25 colas per week. If you can\'t estimate the answer, please give a reason why. (5 points)

Solution

10.a

0.002889 shows the slope of regression line with negative sign. I means for every 1 unit increase in number of colas per week, there is -0.002889 decrease in bone mineral density.

10b.

If number of colas per week is zero, bone mineral density will equal to 0.8861.

10c.

Here we have number of colas per week =5.25, putting this in regression line give:

Bone mineral density=0.8861-0.002889*5.25=0.8709

So estimated Bone mineral density is 0.8709.

10d.

Here we have number of colas per week =10.25, putting this in regression line give:

Bone mineral density=0.8861-0.002889*10.25=0.8565

So estimated Bone mineral density is 0.8565.