The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equationy = - 0.03 + 0
Change in weight per day of hibernation = - 0.03
Change in weight for 115 days = - 3.45 ounces
A linear model can be created using the data in the table given using a regression calculator or excel ;
The linear model obtained in the form y = m + bx is :
y = - 0.03x + 0
y = change in weight
x = number of days of hibernation
Intercept = 0
Slope = -0.03
The slope value of the function gives the change in weightvalue per number of days of hibernation ; which is -0.03.
Using the regression equation, substitute, the vlaue of x = 115
-0.03(115) + 0 = - 3.45
Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.