The 2nd screenshot is the surface of the HW on Turn before anything has been built there.

The Status reports give the figures for
Tourism 1%,  Pollution 11%,  Crime 3%

Control Points produced each turn +1,    Approval 64% = 3.2 / 5,  Maintenance cost of 1

The planetary Inputs are  Mineral 4,  Science (or Technology) 3,  Wealth 4,  Food 12,  Influence  8

these are what the HW is producing as inputs to the production process.

Planetary Outputs are the final results after processing and many Modifiers, including especially Approval

3.1 Production,  2.3 Science,  5.3 credits (before tax rates are applied),  10.7 Food,  8 Influence

on this opening turn, this is mostly the result of the 64% morale times the inputs, plus affects of the Governor and Citizens.

Here is the detailed breakdown for production or manufacturing
we start with an input of 4 Minerals  multiply by (+2% from the HW Governor and +20% from 5 Workers)
= 4.88  times 63.8% for for Approval (or morale)  =  3.11 final manufacturing production

Each of the 5 outputs goes through a similar process to get their final result.

There are MANY different things that modify these results:
Buildings and Wonders on the surface get bonuses from the tile they are built on and can also be modified by Buildings and tiles that are adjacent to them, By the Governor of the World, the Citizens in the upper right hand corner of the screen (including their personal Stats as well as any specialized occupation that they are assigned to, Policies, Ideologies, etc.

If you move your mouse cursor around on the surface of the World and nearby you will get a more detailed tooltip for the item that you are pointed at.

If you left click on a tile you will get told what buildings that you can build there.
You can also click on special buildings on the lower left side on and drag them to where you want to build them.

I left clicked on this Plains tile and I get a list of what Districts (Buildings) that I can build there as well as how many turns it take to build each of them

Culture District 12 turns  Entertainment District 13 turns  Financial District 13 turns and Manufacturing District 13 turns.

If you move your tooltip over each of the District you will get more information on them, what they cost to build, any special requirements, any special bonuses, etc,

If you decide to build one of them on that tile Left Click on it and it will be added to the build Que at the bottom of the screen. The build que can have many items in it. You can change what order they will be built in by left clicking on one of them and hold the left mouse button down while dragging that item to a different location in the build que.

There are many things that could be covered next, but I want to cover how you get increased inputs on your HW or Core World. Which many new players want to know.

What you do is build colony ships in your Ship Yard attached to your HW and send them out to colonize various Worlds nearby. After they are colonized, they send ALL of the 5 outputs to the closest Core World that you own, e.g. your HW.

I am going to give several screenshots from this HW on turn 36 when I have 10 colonies sending back their outputs to the HW. First showing the inputs coming back to the HW, then showing the mineral inputs to the HW followed by the production generated using them, and also screenshots showing research points and how they are processed. This should be 5 screenshots.

The farther the goods have to travel from the colonies to the HW, the more losses they take.
Eventually the losses get so large it is better to establish a new Core World closer to those really distant colonies, so that the new Core World(s) gets a larger fraction of the goods from those colonies.

So Core Worlds, including your HW, that are close to the edge of Sector have fewer Colony worlds that they can draw on without taking great losses, so those Core Worlds can end up being less productive than those located farther from the edge of the Sector. But a lot depends on your neighboring AI Races, where they are located, and what Worlds they manage to colonize instead of you, etc.

Followed by 3 screenshots showing my Industrial Center Building and the Iridia Exchange Wonder/Achievement (can only build one in the entire Galaxy) (which is a special building of ONLY the Corporate Sector), plus showing the Elon's Lift (which is under construction).

The Industrial Center is at Level 5 ,  1 level from the Manufacturing District to the North West of it, and 4 Levels from the Iridia Exchange. It will also be getting another 3 levels in 2 turns when the Elon's Lift (another Wonder) to the North East of it gets Built).

Elon's Lift is currently being constructed and will finish in 2 turns. It will get 3 Levels from the Industrial Center and 1 Level from the Manufacturing Center, These levels raise the production bonuses that Elon's Lift will generate.

If you look at reply 10, you can see 23.48 Minerals being inputted and the Industrial Center is adding 15% and the Manufacturing District is adding 6.2%, and the Approval is 99% along with other bonuses to get a final 35.15 manufacturing output.

When Elon's Lift finishes in 2 turns the manufacturing output will increase. It will get a +20% for itself and another +10% for it's levels as well as giving 3 levels to the Manufacturing District and to the Industrial Center.

Many buildings, but not buildings on special Resources, your Capital Building, and some Wonders/Achievements,  will get level bonuses from the tile they are on, from adjacent tiles, and from buildings in adjacent tiles. These increased levels increase what each building does, which will be shown by the tooltip over that building.

For Instance the Capital Building gives a +2 level Bonus to all buildings next to it that get level bonuses. The Capital Building itself does not get level bonuses (too bad).

You will have to examine each District or building to see what bonuses they give and receive to/from adjacent Buildings.
As you play the game you learn what buildings you want to build where.

Learning how and where to place Buildings is an Art that takes a lot of experience, and will depend on your needs, currently available Techs, future Techs, and new tiles that get added to the surface. So try to plan for the future as well as the present.

Many Districts and Buildings can be torn down and replaced with others. However, some Buildings can not be torn down after they are built, particularly some of the Wonders and Achievements.

At present The Civ Capital building can not be moved. However, when you turn a Colony into a Core World by appointing a Leader as it's new Governor, you can place the Core Capital Building on it's location. After that it can not be moved either.

Nice work so far william.

Happy Wednesday !

I appreciate you doing this. I hope the mods will make this post sticky so that it doesn't get buried.
It is helpful to open a separate window and look at the text along with the pictures. This is one area where YouTube videos shine.