A veterinarian collected data on the association between age and mass of Boxer puppies. A line of best fit was computed. The equation for the line is y=17.5x+480. Which BEST interprets the slope of linear model?

The predicted mass of a Boxer puppy at birth
Each additional day is associated with an additional 17.5 grams of mass
Every 17.5 days is associated with an additional 480 grams of mass
Each additional day is associated with an additional 480 grams of mass

1 answer

The correct interpretation of the slope in the linear model \( y = 17.5x + 480 \) is:

Each additional day is associated with an additional 17.5 grams of mass.

In this equation, \( y \) represents the mass of the Boxer puppy, and \( x \) represents the age in days. The slope (17.5) indicates that for each additional day in age, the mass of the puppy is expected to increase by 17.5 grams.