(b) There was some concern that women in the two groups may have different dietary habits that could affect BMD. For example, higher intake of milk or other foods and supplements that provide additional calcium to the body could increase BMD. To examine this possibility, the researchers also asked each woman in the study to report on weekly milk consumption when she was age 20 through age 29. The data were then used to compute a value of calcium obtained from milk consumption for each woman in the study. BMD levels were plotted against the calcium intake from consumption of milk for women in each of the groups. The plots are shown below, with the least squares estimate of a regression line on each plot. BMD BONE MINERAL DENSITY FOR SEDENTARY WOMEN 1.4+ 1.3+ 1.2- 1.1 1.0- 02 4 6 8 10 12 14 16 Calcium from Milk Consumption BONE MINERAL DENSITY FOR WALKERS 1.4+ 1.3+ 44 1.2- 1.1. BMD 1.0- 02 4 6 8 10 12 14 16 Calcium from Milk Consumption What do the plots indicate about the relationship between BMD and calcium intake from milk consumption from age 20 through age 29 ?

MATLAB: An Introduction with Applications
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5. Bone mineral density (BMD) is a measure of bone strength. It is defined as the ratio of bone mass to the cross-
sectional area of the bone that is scanned, and it is expressed in units of grams per square centimeter (g/cm²).
Recent studies suggest that peak BMD in women is achieved between ages 15 and 40, and BMD declines after
age 45. Decreased BMD is associated with increased risk of bone fracture.
In a recent study, the impact of regular physical exercise on women in differing stages of BMD development
was examined. A simple random sample of 59 women between the ages of 41 and 45 and with no major health
problems were enrolled in the study. The women were classified into one of the two following groups, based on
their level of exercise activity.
• Sedentary: minimal participation in physical exercise in the past three years (This group contained
31 women.)
• Walkers: walk at an aerobic pace at least 135 minutes per week during the past three years (This group
contained 28 women.)
Transcribed Image Text:5. Bone mineral density (BMD) is a measure of bone strength. It is defined as the ratio of bone mass to the cross- sectional area of the bone that is scanned, and it is expressed in units of grams per square centimeter (g/cm²). Recent studies suggest that peak BMD in women is achieved between ages 15 and 40, and BMD declines after age 45. Decreased BMD is associated with increased risk of bone fracture. In a recent study, the impact of regular physical exercise on women in differing stages of BMD development was examined. A simple random sample of 59 women between the ages of 41 and 45 and with no major health problems were enrolled in the study. The women were classified into one of the two following groups, based on their level of exercise activity. • Sedentary: minimal participation in physical exercise in the past three years (This group contained 31 women.) • Walkers: walk at an aerobic pace at least 135 minutes per week during the past three years (This group contained 28 women.)
(b) There was some concern that women in the two groups may have different dietary habits that could affect
BMD. For example, higher intake of milk or other foods and supplements that provide additional calcium
to the body could increase BMD. To examine this possibility, the researchers also asked each woman in the
study to report on weekly milk consumption when she was age 20 through age 29. The data were then used
to compute a value of calcium obtained from milk consumption for each woman in the study. BMD levels
were plotted against the calcium intake from consumption of milk for women in each of the groups. The
plots are shown below, with the least squares estimate of a regression line on each plot.
BMD
BONE MINERAL DENSITY
FOR SEDENTARY WOMEN
1.4+
1.3-
1.2-
1.1
1.0-
0 2 4 6 8 10 12 14 16
Calcium from
Milk Consumption
BMD
BONE MINERAL DENSITY
FOR WALKERS
1.4+
1.3
1.2.
1.1
1.04 +
0 2 4 6 8 10 12 14 16
Calcium from
Milk Consumption
What do the plots indicate about the relationship between BMD and calcium intake from milk consumption
from age 20 through age 29 ?
Transcribed Image Text:(b) There was some concern that women in the two groups may have different dietary habits that could affect BMD. For example, higher intake of milk or other foods and supplements that provide additional calcium to the body could increase BMD. To examine this possibility, the researchers also asked each woman in the study to report on weekly milk consumption when she was age 20 through age 29. The data were then used to compute a value of calcium obtained from milk consumption for each woman in the study. BMD levels were plotted against the calcium intake from consumption of milk for women in each of the groups. The plots are shown below, with the least squares estimate of a regression line on each plot. BMD BONE MINERAL DENSITY FOR SEDENTARY WOMEN 1.4+ 1.3- 1.2- 1.1 1.0- 0 2 4 6 8 10 12 14 16 Calcium from Milk Consumption BMD BONE MINERAL DENSITY FOR WALKERS 1.4+ 1.3 1.2. 1.1 1.04 + 0 2 4 6 8 10 12 14 16 Calcium from Milk Consumption What do the plots indicate about the relationship between BMD and calcium intake from milk consumption from age 20 through age 29 ?
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