Scientists run an experiment on the life span (Y in months) of 33 mice, units of

Question

Scientists run an experiment on the life span (Y in months) of 33 mice, units of daily vitamin intake (X1), and whether or not a new ‘fountain of youth serum’ X2 was added to the mouse food (X2 = 0 if the serum was not added, and X2 = 1 the serum was added.) The following regression model was developed from data collected during the experiment.

=36+0.8X1 - 1.7X2

From this function, it can be said that, on average, the 'fountain of youth serum'

a) extended a mouse's life expectancy by 1.7 months compared to those who were not given the serum

b) reduced a mouse's life expectancy by 1.7 months compared to those who were not given the serum

c) reduced a mouse's expectancy by 0.8 months compared to those who were not given the serum

d) extended a mouse's life expectancy by 0.8 months compared to those who were not given the serum

Explanation / Answer

here as X2 ; represent dummy variable for fountain of youth serum' ; and being coefficient is negative;

therefore option B is correct

b) reduced a mouse's life expectancy by 1.7 months compared to those who were not given the serum

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