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A 65 year old woman with a low bone density in 1992 was treated with alendronate through the year 19

Question: A 65 year old woman with a low bone density in 1992 was treated with alendronate through the year 1999. Bone density was measured irregularly over this period. The results for change in bone density of the lumbar spine are shown in table 1.

Change in bone density, lumbar spine, over time

Visit \[\left( i \right)\]	Time from baseline (months) \[\left( {{t}_{i}} \right)\]	Bone density, lumbar spine (gm/\[c{{m}^{2}}\]) \[\left( {{x}_{i}} \right)\]
1	0	0.797
2	8	0.806
3	18	0.817
4	48	0.825
5	64	0.837
6	66	0.841
7	79	0.886
8	92	0.881

Note: \[\sum\limits_{i=1}^{8}{{{t}_{i}}}\] =375, \[\sum\limits_{i=1}^{8}{{{x}_{i}}=6.69}\] , \[\sum\limits_{i=1}^{8}{t_{i}^{2}}\] =25,849, \[\sum\limits_{i=1}^{8}{x_{i}^{2}}\] =5.60197, \[\sum\limits_{i=1}^{8}{{{x}_{i}}{{t}_{i}}}\] =320.874

What is the estimated rate of increase in bone density of the lumbar spine per year? What is the standard error of the estimated rate of increase per year?

Price: $2.99

Solution: The answer consists of 2 pages
Deliverables: Word Document