A study was conducted of lead users of children's computer games. 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 betweenness centrality (x4, measured as the number of shortest paths between peers). The least squares prediction equation is given below.

A study was conducted of lead users of children's computer games. The researchers modeled lead-user rating (y, measured on a 5-point scale) as a function of gender (x, = 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 betweenness centrality (x4, measured as the number of shortest paths between peers). The least squares prediction equation is given below. Complete parts a and b. y=3.41 +0.02x, - 0.07%2 - 0.03x3 + 0.36x4 a. Compute the predicted lead-user rating of an 11-year-old male child with 4 direct ties to other peers in his social network and with 3 shortest paths between peers. (Round to two decimal places as needed.) b. Compute an estimate for the mean lead-user rating of all 12-year-old female children with 11 direct ties to other peers with 4 shortest paths between peers. (Round to two decimal places as needed.)