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

The life expectancy of a mouse that was given no vitamins and a double dose (2 units) of 'fountain of youth serum' was:

a) 32.6

b) 36

c) 38

d) 34.3

Explanation / Answer

Life Expectancy = 36+0.8X1-1.7X2

X1 = 0

X2 = 2

So, = 36 + 0.8x0 - 1.7x2

= 36 - 3.4

= 32.6 (option a)

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