# Question

The following model was fitted to a sample of 25 students using data obtained at the end of their freshman year in college. The aim was to explain students’ weight gains:

yi = β0 + β1x1i + β2x2i + β3x3iεi

where

yi = weight gained, in pounds, during freshman year

x1i = average number of meals eaten per week

x2i = average number of hours of exercise per week

x3i = average number of beers consumed per week

The least squares estimates of the regression parameters were as follows:

b0 = 7.35 b1 = 0.653 b2 = -1.345 b3 = 0.613

a. Interpret the estimates b1, b2, and b3.

b. Is it possible to provide a meaningful interpretation of the estimate b0?

yi = β0 + β1x1i + β2x2i + β3x3iεi

where

yi = weight gained, in pounds, during freshman year

x1i = average number of meals eaten per week

x2i = average number of hours of exercise per week

x3i = average number of beers consumed per week

The least squares estimates of the regression parameters were as follows:

b0 = 7.35 b1 = 0.653 b2 = -1.345 b3 = 0.613

a. Interpret the estimates b1, b2, and b3.

b. Is it possible to provide a meaningful interpretation of the estimate b0?

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