A veterinarian collected data on the average weight of dogs by age and months. Interpret the slope and the Y intercept (0,0) of the linear model, using the ordered pair (9,42) round the slope to the nearest hundredth
Every month, a dog averages a gain of 0.21 pounds and weighs 0 pounds at birth
Every month, a dog averages gain of 4.67 pounds
Every 4.67 months, a dog averages gain of 1 pound and weighs 0 pounds of birth
Every month averages of 4.3 pounds and weighs 0 pounds at birth
The slope of the linear model is the average weight gain per month, which is 0.21 pounds. This means that for every month that passes, a dog will gain an average of 0.21 pounds in weight.
The Y-intercept of the linear model is the weight of the dog at birth, which is 0 pounds. This makes sense because a dog weighs 0 pounds at birth.
Using the ordered pair (9,42), we can calculate the slope as follows:
Slope = (42-0)/(9-0) = 42/9 = 4.67
Therefore, the slope of the linear model, rounded to the nearest hundredth, is 4.67.
In summary, the slope of the linear model represents the average weight gain per month for a dog, while the Y-intercept represents the weight of the dog at birth.