Question

The table shows the relationship

Answer 1

The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 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 weight value 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.

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