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.

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 life 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.

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 life 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 we see that the coefficient of the variable X2 is given to be - 1.7, therefore on an average the fountain of youth decreases the life expectancy by 1.7 months.

Therefore B is the correct answer here.

Note that as the coefficient is negative, therefore we say that it decreased.

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