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.