A patient undergoes prolonged treatment for low bone density. The density measurements in the table were made irregularly during this period. Visit Time in months from treatment start Density (g/cm²) 0.643 1 7 0.617 19 0.655 4 46 0.641 5 64 0.632 69 0.649 7 79 0.641 92 0.642 100 0.623 (a) What is the estimated rate of increase in density per *year*? (b) What is the standard error of this estimate? (c) Did the density change significantly over the time of the treatment.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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2. A patient undergoes prolonged treatment for low bone density. The density measurements in
the table were made irregularly during this period.
Visit Time in months from treatment start Density (g/cm²)
1
0.643
7
0.617
3
19
0.655
4
46
0.641
64
0.632
69
0.649
7
79
0.641
8
92
0.642
9
100
0.623
(a) What is the estimated rate of increase in density per *year*?
(b) What is the standard error of this estimate?
(c) Did the density change significantly over the time of the treatment.
Transcribed Image Text:2. A patient undergoes prolonged treatment for low bone density. The density measurements in the table were made irregularly during this period. Visit Time in months from treatment start Density (g/cm²) 1 0.643 7 0.617 3 19 0.655 4 46 0.641 64 0.632 69 0.649 7 79 0.641 8 92 0.642 9 100 0.623 (a) What is the estimated rate of increase in density per *year*? (b) What is the standard error of this estimate? (c) Did the density change significantly over the time of the treatment.
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