Apple has created a guide here: https://support.apple.com/en-us/HT201372
Their instructions state that you should do download and create the installer only if you are using Sierra (10.12.5), El Capitan or higher (10.11.6).
1. Download MacOS.
* El Capitan
* http://updates-http.cdn-apple.com/2019/cert/061-41424-20191024-218af9ec-cf50-4516-9011-228c78eda3d2/InstallMacOSX.dmg
* High Sierra
* https://itunes.apple.com/us/app/macos-high-sierra/id1246284741?ls=1&mt=12
* Mojave
* https://itunes.apple.com/us/app/macos-mojave/id1398502828?ls=1&mt=12
* Catalina
* https://itunes.apple.com/us/app/macos-catalina/id1466841314?ls=1&mt=12
Installers for each of these macOS versions download directly to your Applications Folder as an app named Install macOS Catalina, Install macOS Mojave, or Install macOS High Sierra. If the installer opens after downloading, quit it without continuing installation.
Note: El Capitan downloads as a disk image. Open the disk image which installs an app named Install OS X El Capitan in your Applications Folder. Create bootable media from this app, not the disk image.
2. Insert USB Drive, minimum size of 12 GB
3. Open Terminal.
4. Type one of the follow into the Terminal, replacing MyVolume with the USB Drive:
* El Capitan
* sudo /Applications/Install\ OS\ X\ El\ Capitan.app/Contents/Resources/createinstallmedia –volume /Volumes/MyVolume –applicationpath /Applications/Install\ OS\ X\ El\ Capitan.app
* High Sierra
* sudo /Applications/Install\ macOS\ High\ Sierra.app/Contents/Resources/createinstallmedia –volume /Volumes/MyVolume
* Mojave
* sudo /Applications/Install\ macOS\ Mojave.app/Contents/Resources/createinstallmedia –volume /Volumes/MyVolume
* Catalina
* sudo /Applications/Install\ macOS\ Catalina.app/Contents/Resources/createinstallmedia –volume /Volumes/MyVolume
5. Follow the prompts to complete the creation of bootable USB Drive.
Using your Bootable MacOS Drive
1. Plug in your USB Drive.
2. Use Startup Manager or Startup Disk preferences to select the bootable installer as the startup disk, then start up from it. Your Mac will start up to macOS Recovery.
Note: The Internet is required to get information specific to your Mac model, such as firmware updates, not for the installer.
