What is the biblical basis for the belief that good works are the fruits of faith? It is common for Protestant doctrinal statements to say that good works are the fruits of faith. For example:


  We confess that good works are necessary fruits of faith in the life of a Christian and that they proceed from a renewed heart that is thankful to God for His mercy and love. Although there is no human cooperation in the matter of one’s conversion and justification, there is a cooperation on the part of the regenerate Christian in his or her life of sanctification. Good works do not earn or contribute to one’s salvation, but they naturally flow from the living faith which is present in the hearts of those who have already been saved by God’s grace alone. ("We Believe, Teach and Confess," Evangelical Lutheran Synod, italics added)


And:


  Although good works, which are the fruits of faith, and follow after justification, cannot put away our sins, and endure the severity of God's judgment; yet are they pleasing and acceptable to God in Christ, and spring out of a true and lively faith, insomuch that by them a lively faith may be as evidently known as a tree is discerned by its fruit. (The Articles of Religion of the Methodist Church, italics added)


What is the biblical basis for the belief that good works are the fruits of faith?

Please note that I am not asking whether good works are necessary for salvation, whether people of faith should do good works, and so on. Nor am I asking for the biblical basis of good works being a result of being saved, flowing from Christ, and so on.

I am asking specifically for the biblical basis of the belief that good works are the fruits of faith, the result of faith, flow from faith, and similar formulations.

Does the Bible anywhere state this clearly? If not, what Bible passages are quoted by Protestant churches and major Protestant theologians to support this belief, and how do they interpret those passages to support it?
I am asking specifically for the biblical basis of the belief that
  good works are the fruits of faith.


Hebrews 11 addresses this directly. 

Verse 6 is instructive, for it tells us that without faith it is impossible to please God. The rest of the chapter goes on to tell us how the ancients expressed their faith. Their works were the fruits -- the outflow, the results -- of their faith. Another way to put it is that these men and women would not have acted the way they had if they did not have faith in God and what He said to them. 

Noah heard God tell him about the ark and the coming judgment. He believed God, so he built it.

Moses heard God tell him about leading the exodus. He believed God, so he obeyed and led the Israelites out.

Abraham believed God and showed it by following through on what was said of him. Throughout the chapter, we see that faith motivated them to act. 

If faith means "to believe without proof," then these passages don't make any sense. When you apply the biblical definition to the verses -- having a firm conviction that something is so -- then all the verses give light. This is how you know someone has a firm conviction of God's word -- she follows through on the words. 

The biblical idea of faith in these verses indicate that if you really believe that what you heard or read comes from God, then you will act on what you believe. There are no armchair Christians pleasing God. As James 2:36 says, "Faith without works is dead." The faith of those in Hebrews 11 was not dead.

Note that in Galatians, the works of faith are being distinguished from ongoing religious rituals, forms, rules, and laws. The “faith that works through love” (Galatians 5:6) is a faith that responds in obedience to what God has said, and the works reflect love for the individual being helped, or one’s love for God, not routine forms of conduct. Read the works of Hebrews 11 and the works of the apostles in Acts and you won’t find faith showing itself as adherence to sets of religious rules and laws, but as obedience to God and love for neighbor.