What predicted body mass index (BMI) is calculated for someone age 25 years who works 45 hours per week using the regression equation Y = -3.95 + 0.04(hours worked) + 1.21(age)?

To calculate the predicted body mass index (BMI) using the given regression equation, we can substitute the values for age and hours worked into the equation Y = -3.95 + 0.04(hours worked) + 1.21(age).

Here, for a person who is 25 years old and works 45 hours per week:

1. Substitute the age into the equation:

1.21 * (25) = 30.25.

2. Next, substitute the hours worked:

0.04 * (45) = 1.8.

3. Combine these results with the constant in the equation:

Y = -3.95 + 30.25 + 1.8.

4. Perform the addition:

-3.95 + 30.25 = 26.3.

26.3 + 1.8 = 28.1.

Thus, the predicted BMI is 28.1, making this choice the correct answer. This value suggests that for individuals fitting the criteria of age and working hours specified, the model predicts a BMI within a range that is associated with overweight status according to typical BMI categorizations. The calculated BMI could be useful for health