# Question

Let y = number of parties attended in the past month and x = number of sports events watched in the past month, measured for all students at your school. Explain the mean and variability about the mean aspects of the regression model μy = α + βx, in the context of these variables. In your answer, explain why

(a) It is more sensible to let α + βx represent the means of the conditional distributions rather than individual observations,

(b) The model allows variation around the mean with its σ parameter.

(a) It is more sensible to let α + βx represent the means of the conditional distributions rather than individual observations,

(b) The model allows variation around the mean with its σ parameter.

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