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 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 the metabolic rate
can be explained by the body mass?
Solutions
Expert Solution
Regression Equation
Regression equation is as follows:
Metabolic rate = 225.392 + 23.520*Body Mass
Coefficient of Determination Calculation
Correlation coefficient r = 0.9792
Coefficient of Determination r2 = 0.97922 = 0.9588
Thus, 95.88% of the variability in the metabolic rate can be explained by the body mass.
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 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,...
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
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893.3...
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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=
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R-Sq(adj) = 51.3%
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