Use the scenario below to answer a question on regression interpretation.

Here is the scenario: Mary wants to predict the average volunteer hours per week among managers and workers at a certain public agency. She is using multiple independent variables in a multiple regression analysis. Her regression equation or model is shown below

Y (volunteer hours) =2.29a+.50X₁(income) + .05X₂(age) + (.36)X₃(participant_status_reference workers)

Y= volunteer hours, measured in hours

a = the constant, or intercept, the value of volunteer hours when all independent variables equal zero

X₁= income measured in income levels

X₂= age, measured in years

X₃= participant status is a dummy variable (two values are managers and workers) with workers as the reference group

Which of the choices below is the most accurate interpretation of the participant status dummy variable?

A. Holding all other variables constant, managers put in an average of .36 hours less (per week) than workers.

B. Managers put in an average of .36 hours less (per week) than workers.

C. Holding all other variables constant, volunteer hours (per week) decrease by .36 hours for each additional increase in the workers.

D. When all independent variables equal zero, volunteer hours (per week) decrease by .36 hours for managers compared to workers.