Bone mineral density and cola consumption has been recorded for a sample of patients. Let x represent the number of colas consumed per week and y the bone mineral density in grams per cubic centimeter. Assume the data is normally distributed.

Cola Consumed	Bone Mineral Density (g)
1	0.8777
2	0.8925
3	0.8898
4	0.8769
5	0.8999
6	0.8634
7	0.8762
8	0.8888
9	0.8552
10	0.8546
11	0.8762

Approximately what percentage of the variation in Bone Mineral Density is accounted for by Colas Consumed in this model? Place your answer, rounded to 1 decimal place, in the blank. Do not use any stray punctuation marks or a percentage sign. For example, 78.9 would be a legitimate entry. ___%

___

Question 15 options:

Question 16 (1 point)

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.

HW3	Midterm
13.3	59.811
21.9	87.539
9.7	53.728
25	96.283
5.4	39.174
13.2	66.092
20.9	89.729
18.5	78.985
20	86.2
15.4	73.274
25	93.25
9.7	52.257
6.4	43.984
20.2	79.762
21.8	84.258
23.1	92.911
23	87.82
11.4	45.034
14.9	71.869
18.4	76.704
15.1	60.431
15	65.15
16.8	77.208

Approximately what percentage of the variation in the Midterm grade is accounted for by the HW3 grade in this model? Place your answer, rounded to 1 decimal place, in the blank. Do not use any stray punctuation marks or a percentage sign. For example, 78.9 would be a legitimate entry. ___%

___