I found a cubic equation that fits the data in the paper with an R² value of 0.999264, which is phenomenal. It is:
0.7225x^3 - 4.48536x^2 + 8.96214x - 3.578
Where "x" is the zone number.
This works regardless of how your zones are setup, meaning their percentage differences don't need to be strictly increasing.
For example, if I spend 100% of my time in a zone, the PPi values for my #running training zones become:
Zone 1: 81.64
Zone 2: 46.65
Zone 3: 41.79
Zone 4: 54.58
Zone 5: 235.86
Aaron Toponce ⚛️:debian: /
npub1t9…t8529
2024-07-12 16:20:07
in reply to nevent1q…y65g
Author Public Key
npub1t9cz9v7zph5jvadd8rjfp25msrx6r0hdxnsyfmx88k8qp3pvv04szt8529Published at
2024-07-12 16:20:07Event JSON
{
"id": "bb643ee8c4f75325923419e31866ff2e411707fc8642b3b9b09ef9c0cdd65a35",
"pubkey": "597022b3c20de92675ad38e490aa9b80cda1beed34e044ecc73d8e00c42c63eb",
"created_at": 1720801207,
"kind": 1,
"tags": [
[
"e",
"394a4b1837925d2f35c29fe9f532f8699fd80f1148430c2453605d6898685d81",
"",
"root"
],
[
"t",
"running"
],
[
"proxy",
"https://fosstodon.org/@atoponce/112774427957558044",
"web"
],
[
"p",
"597022b3c20de92675ad38e490aa9b80cda1beed34e044ecc73d8e00c42c63eb"
],
[
"e",
"e1f3c05e4aa284a5f3770fe94870ead73967b5c759a0a5f5492dad7ff97d5abd",
"",
"reply"
],
[
"proxy",
"https://fosstodon.org/users/atoponce/statuses/112774427957558044",
"activitypub"
],
[
"L",
"pink.momostr"
],
[
"l",
"pink.momostr.activitypub:https://fosstodon.org/users/atoponce/statuses/112774427957558044",
"pink.momostr"
],
[
"-"
]
],
"content": "I found a cubic equation that fits the data in the paper with an R² value of 0.999264, which is phenomenal. It is:\n\n0.7225x^3 - 4.48536x^2 + 8.96214x - 3.578\n\nWhere \"x\" is the zone number.\n\nThis works regardless of how your zones are setup, meaning their percentage differences don't need to be strictly increasing.\n\nFor example, if I spend 100% of my time in a zone, the PPi values for my #running training zones become:\n\nZone 1: 81.64\nZone 2: 46.65\nZone 3: 41.79\nZone 4: 54.58\nZone 5: 235.86",
"sig": "098ca5625200c7dbffb1a27a3dae2a9f68c66af6d8bde24c0df84543ad5dd54c79c66e9505dc7c0562b2381bf368fe85b8934f811c9a46713419ff9d94f980cd"
}