Conexão Java - Banco de Dados

package br.com.caelum.jdbc;

import java.sql.Connection;
import java.sql.DriverManager;
import java.sql.SQLException;

public class ConnectionFactory { // Responsavel por abrir conexão com B.D.

	/**private static final String DRIVER = "oracle.jdbc.OracleDriver";
	private static final String DATABASE = "XE";
	private static final String IP = "127.0.0.1";
	private static final String STR_CON = "jdbc:oracle:thin:@" + IP + ":1521/"
			+ DATABASE;
	private static final String USER = "user";
	private static final String PASSWORD = "password";

	public Connection getConnection() throws ClassNotFoundException {
		try {

			return DriverManager.getConnection(
					"jdbc:oracle:thin:@ + IP+127.0.0.1:1521/XE", "system",
					"123456");
		} catch (SQLException e) {
			throw new RuntimeException(e);
		}
	}
*/
	public Connection getConnection() {
			System.out.println("Conectando ao banco");
		try {
			return DriverManager.getConnection("jdbc:mysql://localhost/FJ-21CS", "root", "cauthion");
			} catch(SQLException e) {
				throw new RuntimeException(e);
				}
		}
}

package br.com.caelum.jdbc.dao;

import java.sql.Date;
import java.sql.PreparedStatement;
import java.sql.ResultSet;
import java.sql.SQLException;
import java.util.ArrayList;
import java.util.Calendar;
import java.util.List;

import br.com.caelum.jdbc.ConnectionFactory;
import br.com.caelum.jdbc.modelo.Contato;
  
public class ContatoDAO {
	// a conexão com o banco de dados
	private java.sql.Connection connection;
	public ContatoDAO() {
		this.connection = new ConnectionFactory().getConnection(); // Conexão BD
	}
      
    public void adiciona(Contato contato) {  // Adição de Contatos
    	String sql = "insert into contatos (nome,email,endereco,dataNascimento) values (?,?,?,?)";  
          
        try {  
            // prepared statement para inserção  
        	PreparedStatement stmt = (PreparedStatement) connection.prepareStatement(sql);
              
            // seta os valores  
            stmt.setString(1, contato.getNome());  
            stmt.setString(2, contato.getEmail());  
            stmt.setString(3, contato.getEndereco());  
            stmt.setDate(4, new Date( contato.getDataNascimento().getTimeInMillis() ));  
              
            // executa  
            stmt.execute();  
            stmt.close();  
        } catch (SQLException e) {  
            throw new RuntimeException();  
        }  
     
     }
    
    public List <Contato> getLista(){
    	
    	try {
    		List<Contato> contatos = new ArrayList<Contato>();
    		PreparedStatement stmt=this.connection.prepareStatement("select * from contatos");
    		ResultSet rs=stmt.executeQuery();
    		
    		while (rs.next()) {
    			//Criando o Objeto Contatos
    			Contato contato = new Contato();
    			contato.setId(rs.getLong("id"));
    			contato.setNome(rs.getString("nome"));
    			contato.setEmail(rs.getString("email"));
    			contato.setEndereco(rs.getString("endereco"));
    			
    			//Montando Data atravez do "Calendar"
    			Calendar data = Calendar.getInstance();
    			data.setTime(rs.getDate("dataNascimento"));
    			contato.setDataNascimento(data);
    			
    			//Adicionando Objeto a Lista
    			contatos.add(contato);
			}
    		rs.close();
    		stmt.close();
    		return contatos;
    	}catch (SQLException e) {
    		throw new RuntimeException(e);
		}
    }
}

Conectando ao banco
Exception in thread "main" com.mysql.jdbc.exceptions.jdbc4.CommunicationsException: Communications link failure

The last packet sent successfully to the server was 0 milliseconds ago. The driver has not received any packets from the server.
	at sun.reflect.NativeConstructorAccessorImpl.newInstance0(Native Method)
	at sun.reflect.NativeConstructorAccessorImpl.newInstance(Unknown Source)
	at sun.reflect.DelegatingConstructorAccessorImpl.newInstance(Unknown Source)
	at java.lang.reflect.Constructor.newInstance(Unknown Source)
	at com.mysql.jdbc.Util.handleNewInstance(Util.java:411)
	at com.mysql.jdbc.SQLError.createCommunicationsException(SQLError.java:1116)
	at com.mysql.jdbc.MysqlIO.<init>(MysqlIO.java:344)
	at com.mysql.jdbc.ConnectionImpl.coreConnect(ConnectionImpl.java:2332)
	at com.mysql.jdbc.ConnectionImpl.connectOneTryOnly(ConnectionImpl.java:2369)
	at com.mysql.jdbc.ConnectionImpl.createNewIO(ConnectionImpl.java:2153)
	at com.mysql.jdbc.ConnectionImpl.<init>(ConnectionImpl.java:792)
	at com.mysql.jdbc.JDBC4Connection.<init>(JDBC4Connection.java:47)
	at sun.reflect.NativeConstructorAccessorImpl.newInstance0(Native Method)
	at sun.reflect.NativeConstructorAccessorImpl.newInstance(Unknown Source)
	at sun.reflect.DelegatingConstructorAccessorImpl.newInstance(Unknown Source)
	at java.lang.reflect.Constructor.newInstance(Unknown Source)
	at com.mysql.jdbc.Util.handleNewInstance(Util.java:411)
	at com.mysql.jdbc.ConnectionImpl.getInstance(ConnectionImpl.java:381)
	at com.mysql.jdbc.NonRegisteringDriver.connect(NonRegisteringDriver.java:305)
	at java.sql.DriverManager.getConnection(Unknown Source)
	at java.sql.DriverManager.getConnection(Unknown Source)
	at br.com.caelum.jdbc.ConnectionFactory.getConnection(ConnectionFactory.java:35)
	at br.com.caelum.jdbc.teste.TestaConexao.main(TestaConexao.java:19)
Caused by: java.net.ConnectException: Connection refused: connect
	at java.net.DualStackPlainSocketImpl.connect0(Native Method)
	at java.net.DualStackPlainSocketImpl.socketConnect(Unknown Source)
	at java.net.AbstractPlainSocketImpl.doConnect(Unknown Source)
	at java.net.AbstractPlainSocketImpl.connectToAddress(Unknown Source)
	at java.net.AbstractPlainSocketImpl.connect(Unknown Source)
	at java.net.PlainSocketImpl.connect(Unknown Source)
	at java.net.SocksSocketImpl.connect(Unknown Source)
	at java.net.Socket.connect(Unknown Source)
	at java.net.Socket.connect(Unknown Source)
	at java.net.Socket.<init>(Unknown Source)
	at java.net.Socket.<init>(Unknown Source)
	at com.mysql.jdbc.StandardSocketFactory.connect(StandardSocketFactory.java:257)
	at com.mysql.jdbc.MysqlIO.<init>(MysqlIO.java:294)
	... 16 more

public Connection getConnection() {
			System.out.println("Conectando ao banco");
		try {
			return DriverManager.getConnection("jdbc:mysql://localhost:3306/FJ-21CS", "root", "cauthion");
			} catch(SQLException e) {
				throw new RuntimeException(e);
				}
		}
}