Installing Octave 4.0.2 with apt-get

Question

I am trying to install Octave 4.0.2 (specifically that version; I have reason to believe there is an incompatibility that affects software I want to run with and would like to install this version to verify or invalidate that claim) with apt-get.

As detailed here, I have run the following, seemingly without error

add-apt-repository ppa:octave/stable
apt-get update

(Sudo is not necessary, this is within a docker)

However, following up with:

apt-get install octave=4.0.2

as detailed here simply gives me a version not found error:

Version '4.0.2' for 'octave' was not found

Likewise for variations on that package name up to and including the full expression of '4.0.2-1ubuntu5~octave~precise2'

Curiously I can install (and uninstall) the latest version of Octave, v4.2.1.

What am I missing? How can I get the necessary version installed?

UPDATE 1 The Ubuntu version, internal to the docker, is 16.04.3 LTS

UPDATE 2 The results of

apt-cache policy octave

are:

 Installed: 4.2.1-2~octave~xenial1
  Candidate: 4.2.1-2~octave~xenial1
  Version table:
 *** 4.2.1-2~octave~xenial1 500
        500 http://ppa.launchpad.net/octave/stable/ubuntu xenial/main amd64 Packages
        100 /var/lib/dpkg/status
     4.0.0-3ubuntu9.1 500
        500 http://archive.ubuntu.com/ubuntu xenial-updates/universe amd64 Packages
     4.0.0-3ubuntu9 500
        500 http://archive.ubuntu.com/ubuntu xenial/universe amd64 Packages

That is with a later version of Octave presently installed.

From apt-cache policy we can conclude that there is no octave 4.0.2 version. — N0rbert, Nov 27 '17 at 19:37
v4.0.2 isn't available in the repositories that you currently have in your sources.list. "4.0.2-1ubuntu5~octave~precise2'" check the precise repository. Though, you may have dependency problems going that far back. — ravery, Nov 27 '17 at 19:45
Ahh, I see the problem, now. The 4.0.2 I thought existed is not for Xenial, but for Precise. — Novak, Nov 27 '17 at 19:56
I see two solutions: 1. install octave from source on xenial; 2. install Precise into docker, then add PPA with 4.0.2 here (insecure solution). — N0rbert, Nov 28 '17 at 15:45

Installing Octave 4.0.2 with apt-get

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