Is there a way to move mouse coordinates to the title of the JFrame?

Got method paint() to draw mouse coordinates in JFrame in coordinates x=20, y=20. Is there a way to move rendering mouse coordinates to the title of the JFrame? Try to use jFrame.setTitle() but it want String as parametr.

 jFrame.setTitle(g.drawString("Coordinates x:" + xCord + " y" + yCord, 20, 20)) not work.

Here is my code:

 private static void paint() {
        JComponent jComponent = new JComponent() {
            @Override
            protected void paintComponent(Graphics g) {
                super.paintComponent(g);
                Font font = new Font("Comic Sans MS", Font.BOLD, 20);
                g.setFont(font);
                g.drawString("Coordinates x:" + xCord + " y" + yCord, 20, 20);

            }
        };

        jFrame.add(jComponent);
        jFrame.addMouseMotionListener(new MouseAdapter() {
            @Override
            public void mouseMoved(MouseEvent e) {
                super.mouseMoved(e);
                xCord = e.getX();
                yCord = e.getY();
                jComponent.repaint();
            }
        });
    }

Here's a simple example of a GUI that updates the title of the JFrame.

I just updated the title String with the coordinates from the mouseMoved method of the MouseMOtionListener.

Here's the runnable, contained, example.

import java.awt.Dimension;
import java.awt.Point;
import java.awt.event.MouseEvent;
import java.awt.event.MouseMotionListener;

import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;

public class MouseCoordinatesTitle implements Runnable {

	public static void main(String[] args) {
		SwingUtilities.invokeLater(new MouseCoordinatesTitle());
	}
	
	private JFrame frame;
	
	private String title;
	
	public MouseCoordinatesTitle() {
		this.title = "Coordinates: ";
	}

	@Override
	public void run() {
		frame = new JFrame(title);
		frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
		
		frame.add(createMainPanel());
		
		frame.pack();
		frame.setLocationByPlatform(true);
		frame.setVisible(true);
	}
	
	private JPanel createMainPanel() {
		JPanel panel = new JPanel();
		panel.setPreferredSize(new Dimension(600, 400));
		panel.addMouseMotionListener(new PositionListener());
		return panel;
	}
	
	public void updateJFrameTitle(Point point) {
		StringBuilder builder = new StringBuilder(title);
		builder.append("X: ");
		builder.append(point.x);
		builder.append(", Y: ");
		builder.append(point.y);
		frame.setTitle(builder.toString());
	}
	
	public class PositionListener implements MouseMotionListener {

		@Override
		public void mouseMoved(MouseEvent event) {
			Point point = event.getPoint();
			updateJFrameTitle(point);
		}

		@Override
		public void mouseDragged(MouseEvent event) {
		
		}

	}

}