How much power would this boat, as drawn, need to plane?
That depends largely on the gross weight of the boat with all of its contents. Let's say that the whole thing weighs 300 pounds. You could get the boat to plane with a 3 HP outboard. Not fast, but actually planing.
500 pounds...now you are going to need about twice that power, say a 6HP outboard.
900 pounds better think of 15 HP .
Now put the 15 horse outboard on your 500 pound boat and it will go scary fast. Note: These are ball park figures based on past experience.
Think of it this way. The area of the bottom is X square inches. The boat must be coaxed or forced to move fast enough to generate some dynamic pressure on the bottom. Now if the bottom has ....say 1000 square inches of surface exposed to an amount of lift or upward force, the 500-pond boat with its 1000 square inch lifting surface will need a dynamic pressure of one half pound per square inch. A thousand pound boat with the same bottom area will need one pound per square inch.
OK that is the general concept. But it gets a lot more complicated than that. The pressure must push upwards and so the boat will need to present some angle or other to the oncoming water. ...lets say perhaps a five degree angle of incidence. Now we can do some trig. We can also insert the density of water, something the smart guys call rho. Then we will have to consider the velocity of impingement of the water on the angled surface. That involves an exponent in your basic exploratory equation. V square over two......etcetera
This is just the most elementary physics and math that you must do to arrive at a reasonable estimate of the power needed to cause the boat to plane. The wild "ball park" numbers that I have suggested above are just that...Ball park or as sometimes stated SWAG which is :Scientific Wild *** Guesses. Those Swags Are based on experience not math. but you could actually do it with some well structured math.
Here is one more thing that plays into the complex mess. That is deadrise angle. The more deadrise the more power needed to achieve a plane. Your initial scheme had a 15 degree angle which will increase the power demand by a considerable margin. A flat bottom will need the least power to get you into the planing regime.
I will, apologetically, allow myself to be politely critical. Why do you think that you can design a boat that has some degree of efficiency? Are you relying on a computer program to draw your boat. I urge you to take note of the GIGA concept. The computer does not know how to design a boat and you have to give it informed instructions if it is to deliver good result.
I apologize once more for questioning your methods. Design your boat to a suitable scale with a pencil and a large sheet of paper. You can get the feel of it far better while using that method.