Predict the metabolic rate (# of calories burned in a 24-hour period) for a male with a lean body mass of 34.5 kg. Round to one decimal place.

Steps to Solve

1. Identify the Regression Equation

The regression equation based on the provided coefficients is:

$$ \text{Metabolic Rate} = \text{Intercept} + (\text{Mass} \times \text{mass}) + (\text{Sex} \times \text{sex}) $$

Here, the coefficients are:

• Intercept = 307.900
• Mass = 21.546
• Sex = 148.020

2. Set the Known Values

For the calculations:

• Mass (lean body mass) = 34.5 kg
• Sex = 1 (since the person is male)

3. Plug the Known Values into the Equation

Substituting the known values into the regression equation:

$$ \text{Metabolic Rate} = 307.900 + (21.546 \times 34.5) + (148.020 \times 1) $$

4. Calculate Each Term

First, calculate (21.546 \times 34.5) and (148.020 \times 1):

• (21.546 \times 34.5 = 742.827)
• (148.020 \times 1 = 148.020)

5. Combine All Terms

Now substitute the calculated values back into the equation:

$$ \text{Metabolic Rate} = 307.900 + 742.827 + 148.020 $$

6. Final Calculation

Now perform the final addition:

$$ \text{Metabolic Rate} = 307.900 + 742.827 + 148.020 = 1198.747 $$

7. Round to One Decimal Place

Round the metabolic rate to one decimal place:

$$ \text{Metabolic Rate} \approx 1198.7 \text{ calories} $$