You don’t use a resistor on the Tone pot. The tone pot IS the resistor in the tone circuit.
1.) The Volume pot works by creating resistance to Ground that makes the guitar input the “path of least resistance.” At “0”, there is no resistance to ground; at “10” the pot value (250K, 500K, 1M) is
the resistance to Ground. The larger the pot value the more resistance to Ground when the knob is set to 10 and the more guitar signal (AC voltage) goes to the amp.
2.) The Tone pot and cap combine to great a RC (resistor-capacitor) network/filter that allows the high-end frequencies to
bypass the Volume pot for another path to Ground.
The Tone pot works exactly like the Volume pot except the cap value blocks all signal
below a certain cutoff frequency. Change the cap value and you change to cutoff frequency.
Here’s an old explanation ....
There is a cap soldered to the tone pot on your guitar. It determines the how much of the guitar’s treble passes through to the tone pot (which is nothing more than a second volume control, but just for the bypassed treble signal).
Imagine your tone is a christmas tree (or any upright triangle). With the point of the tree representing the treble and the big, bushy, fat bottom being the bass end.
The tone circuit is an axe that “chops” the tree off at a certain point. The higher the value of the cap, the lower the axe cuts. Gibson uses a .022 cap usually, which chops pretty high, because humbuckers are fairly dark-sounding pickups and often don't have a lot of treble to spare. Fender uses a .047 cap to cut lower, because there is more brightness in a single coil to tame.
So the .022 cuts high on the tree, a .047 cuts lower, a .1 cuts even lower etc.
What happens when you use the tone control is you bleed off the top of the "tree" off to ground. At 10, the tone (pot)entiometer is at full resistance (250K, 500K, 1M, whatever the value may be) to ground. As you lower the knob to 0, the resistance to ground decreases (eventually to nothing), and the top of the tree slowly fades away into nothingness (this slightly breaks my metaphor). The rest of the tree (the midrange and the bass) remains exactly the same. That is how you tone control works.
3.) The treble bleed mod on the Volume control is becoming more popular but is still relatively unused in the industry. I would guess 99% of guitars don’t have one and no vintage guitar ever shipped with one.
The treble bleed mod is an answer to the problem that, as you roll the Volume pot down, the high-end frequencies tend to drop out because of impedance mismatches with the amp input. The old school solution was to crank up the amp volume (which countered the effect) and then you can turn down the guitar volume.
The treble bleed mod features a “bright” cap, a small cap that jumps the pot lugs and lets the extreme treble skip the volume pot. The problem is the more you turn the volume down, the brighter the guitar gets (bright caps on amps have similar issues). That’s where the resistor comes in, it corrects the taper. As you turn the volume down, the treble still bleeds through, but the resistor keeps it in check as you continue to turn the Volume down.
Ultimately, the treble bleed is a compromise. Yes, it allows that high end to stay, but the tone still doesn’t sound like the same mix you would get with the Volume on “10”...you pretty much have to decide if you want the tone to get darker as you Turn down or brighter, there is jo “just right” (Disclosure: I do not use treble bleed mods).
TL

R? Unless you are using really bright humbuckers, your starting point is 500K linear taper tone pot and 0.022 tone cap; volume a 500k audio taper. If your humbuckers are bright, you might try .033 or 0.047. The math was done decades ago and their is a reason 500K/.022 is an industry standard, it works most of the time.