Luke’s description of Jesus’ baptism seems to imply that it represents his royal anointing. There Jesus is declared to be God’s Son in language evoking Psalm 2, which was a royal enthronement psalm. It is interesting to note that Jesus is baptized by John the Baptist, who Luke tells us was a Levite, the son of Zechariah, a priest (cf. Luke 1:5). This provides an interesting Davidic parallel for the baptism of Jesus: Solomon was likewise anointed by a Levite (1 Kgs 1:39).
In addition, immediately following his baptism, Luke gives the reader another important piece of information: "Jesus, when he began his ministry, was about thirty years of age" (Luke 3:23). Here we have another Davidic parallel. In 2 Samuel 5:4 we read:"David was thirty years old when he began to reign, and he reigned forty years." Jesus begins his ministry at the same age David began his reign. Immediately after this Luke traces Jesus’ genealogy back to Adam through David (Luke 3:23).
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Complete outline (with links) of first two parts of "Jesus and the Restoration of the Kingdom"
 “The wording of Ps. 2.1-2 in this passage is one of the few cases of an exact agreement between the lxx and Luke-Acts.” Darrell L. Bock, Proclamation from Prophecy and Pattern: Lucan Old Testament Christology (JSOT Supplement Series 12; Sheffield, JSOT Press, 1987), 203.
 Craig C. Broyles, Psalms (in New International Biblical Commentary; Peabody, Mass.: Hendrickson Publishers, 1999).