Question
In: Statistics and Probability
We have data on the lean body mass and resting metabolic rate for 10 women who...
We have data on the lean body mass and resting metabolic rate
for 10 women who are subjects in a study of dieting.Lean body mass,
given in kilograms, is a persons weight leaving out all fat.
Metabolic rate, in calories burned per 24 hours,is the rate at
which the body consumes energy.
Lean body mass in kilograms are: ( 32.3, 43.8, 33.4, 30.9,
42.2, 35.3, 31.5, 40.5, 45.9, 47.3 )
Metabolic rates are : ( 1202.5, 1274.5, 1200.6, 1149.7,
1339, 1313.7, 1235.4, 1211.7, 1345.6, 1434.6 )
What percentage of the variability in the metabolic rate
can be explained by the body mass using linear
regression?
Solutions
Expert Solution
Using R studio, we get
Here,
Coefficient of determination R2 = 0.6432 = 64.32%
The percentage of the variability in the metabolic rate can be explained by the body mass using linear regression
= 64.32%
orchestra answered 1 year agoRelated Solutions
We have data on the lean body mass and resting metabolic rate for 10 women who...
We have data on the lean body mass and resting metabolic rate
for 10 women who are subjects in a study of dieting. Lean body
mass, given in kilograms, is a person's weight leaving out all fat.
Metabolic rate, in calories burned per 24 hours, is the rate at
which the body consumes energy.
Body Mass values are: (30,14,42,22,38,40,46,15,56,24)
Metabolic Rates:
(767,623,1260,688,1152,1172,1356,599,1520,808)
Find the least-squares regression line for predicting metabolic
rate from body mass.
What percentage of the variability in...
We have data on the lean body mass and resting metabolic rate for 12 women who...
We have data on the lean body mass and resting metabolic rate
for 12 women who are subjects in a study of dieting. Lean body
mass, given in kilograms, is a person's weight leaving out all fat.
Metabolic rate, in calories burned per 24 hours, is the rate at
which the body consumes energy.
Mass (xx)
55.9
58.2
42.4
54.3
59.7
42.9
59.7
55.5
62.1
54.8
42.4
64.2
Rate (yy)
971.1
952.8
984.6
979.7
928.3
966.1
952.3
984.5
933.9
973.2...
We have data on the lean body mass and resting metabolic rate for 12 women who...
We have data on the lean body mass and resting metabolic rate
for 12 women who are subjects in a study of dieting. Lean body
mass, given in kilograms, is a person's weight leaving out all fat.
Metabolic rate, in calories burned per 24 hours, is the rate at
which the body consumes energy.
Mass (xx)
62.7
48.6
51
55.8
46.4
62.9
45.9
59.7
48.2
55.6
64.4
63.8
Rate (yy)
841.3
904.4
903
892.2
887.6
880.1
914.1
893.3...
Exercise physiologists investigated the relationship between lean body mass (in kg) and resting metabolic rate (in...
Exercise physiologists investigated the relationship
between lean body mass (in kg) and resting metabolic rate (in
calories per day). They measured these values from a sample of 35
males.
Predictor
Coeff
St.
Dev
t
p
Constant
264.00
276.90
0.95
0.363
Mass
22.563
6.360
3.55
0.005
S = 144.9 R-Sq=
55.7%
R-Sq(adj) = 51.3%
a) Write the least squares regression line, defining any
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b) If a male in the study had a...
We have the survey data on the body mass index (BMI) of 651 young women. The...
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Give confidence intervals for the mean BMI and the margins of
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Conf.
level
Interval
margins of error
90%
___to___ ________
95%
___to____
_________
95%
____to____
__________
We have the survey data on the body mass index (BMI) of 659 young women. The...
We have the survey data on the body mass index (BMI) of 659
young women. The mean BMI in the sample was
x = 26.2. We treated these data as an SRS from a
Normally distributed population with standard deviation σ
= 8.1.
Give confidence intervals for the mean BMI and the margins of
error for 90%, 95%, and 99% confidence. (Round your answers to two
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confidence level interval margin of error
90% _____ to _____ _____
95%...
ch16 #10. (16.08) We have the survey data on the body mass index (BMI) of 646...
ch16
#10. (16.08) We have the survey data on the body mass index
(BMI) of 646 young women. The mean BMI in the sample was
x⎯⎯⎯=25.7x¯=25.7. We treated these data as an SRS from a Normally
distributed population with standard deviation σ=σ=7.1.
a. Give confidence intervals for the mean BMI and the margins of
error for 90%, 95%, and 99% confidence.
90% = ___ to ____
95% = ____ to ____
b. Conf. Level Interval (±±0.01) margins of error (±±0.0001)...
Body size typically has an effect on an individual's resting heart rate, with increased body mass...
Body size typically has an effect on an individual's resting
heart rate, with increased body mass negatively correlated with
heart rate. To determine the influence of sex and age on this
relationship, you measured the body mass and heart rate of a
population of adolescent and adult males and females using a
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Sex
Age Group
Resting Heart Rate (bpm)
Body Mass (kg)
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72
40.91
Female
adolescent
70
52.85
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For mammals, basic metabolic rate (m) scales with body mass (Mb) as follows, m = 0.676...
For mammals, basic metabolic rate (m) scales with body mass (Mb)
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liter O2/hr/kg. Calculate the mass-specific metabolic rate of a
Shrew weighing 3.0 grams.
a. 0.0087 liter O2/hr
b. 2.888 liter O2/hr/kg
c. 1.541 liter O2/hr
d. 0.514 liter O2/hr/kg
e. 0.0087 kCal/hr
Body fat and lean body mass can be estimated in living animals by measuring the total...
Body fat and lean body mass can be estimated in living animals
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