Characteristics of lead users. Refer to the Creativity and Innovation Management (February 2008) study of lead users of children's computer games. Recall that the researchers modeled lead-user rating (y, measured on a 5-point scale) as a function of gender (x1 = 1 if female, 0 if male), age (x2, years), degree of centrality (x3, measured as the number of direct ties to other peers in the network), and between-ness centrality (x4, measured as the number of shortest paths between peers). The least squares prediction equation was
yˆ = 3.58 + .01x1 - .06x2 - .01x3 + .42x4
(a) Compute the predicted lead-user rating of a 10-year-old female child with five direct ties to other peers in her social network and with two shortest paths between peers.
(b) Compute an estimate for the mean lead-user rating of all 8-year-old male children with 10 direct ties to other peers and with four shortest paths between peers.