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Figure 1.

a shows a spaghetti plot (N = 290) of the relationship between heart rate (bpm) and energy expenditure (ml/kg/min). b shows an age and sex stratified LOWESS of the relationship between heart rate (bpm) and energy expenditure (ml/kg/min).

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Figure 1 Expand

Table 1.

Participant characteristics.

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Table 1 Expand

Table 2.

Stratified Model 1 Parameter Estimates.

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Table 2 Expand

Table 3.

Model 2 Group Equation Parameter Estimates.

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Table 3 Expand

Table 4.

The average heart rate (bpm), observed energy expenditure (ml/kg/min), and estimated energy expenditure (ml/kg/min) of four representative age groups across five calibration levels (rest, slow-walking, customary walking, peak sustained walking, and maximal exertion), stratified by gender.

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Table 4 Expand

Figure 2.

Figure 2 shows Kernel density estimates for the distribution of prediction errors for the four calibration data scenarios considered: (1) no calibration data, (2) resting heart rate and energy expenditure, (3) resting and peak heart rates and energy expenditures, and (4) all five levels of heart rate and energy expenditure.

The left panel shows prediction errors computed under model (1), which uses four age/gender categories to predict energy expenditure, and the right panel prediction errors computed under model (2), which uses gender and age as continuous variables, and their interaction to predict energy expenditure.

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Figure 2 Expand

Figure 3.

Figure 3 shows an Illustration of the difference between population-level and individual-level relationships between heart rate and energy expenditure.

The solid black is the population equation, estimated from the subject's age and sex, omitting subject-specific random effects; the solid red line is the subject equation including the subject-level random-effects; and the vertical dashed red line shows the difference between the population-level and subject-level equations at the slow walking heart rate.

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Figure 3 Expand