How do I create the formula for calculate the damage of a skill

Clash Royale CLAN TAG#URR8PPP

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I need a formula for determine the amount of damage that a skill or ability can do.

I have some data that I don't have create myself, but I just taken from a game.

A character can grow up from lv 1 to 100, and he has a set of skills.

Every skill can go up from lv 1 to (current level of the character)

The skill damage is linear but influenced of character's attack, so more attack the character has and more damage can do the skill.

A character that we call John has the follow parameters

Max stats that John can reach:

• Level 100


• Attack 7337


• Skill damage (lv 100) 16574

Minimum stats:

• Level 1


• Attack 71


• Skill damage (lv 1) 479

The current stats of John:

• Level 13


• Attack 202


• Skill damage (lv 13) 805

When the skill was a previous level:

• Level 13


• Attack 202


• Skill damage (lv 12) 788

In theory the skill damage should get 7 points for level, of course with the current amount attack of John, but is linear.

What I'm trying to do is get the basic damage of a skill plus the correct multiplier

Edit:

Seems that adding an item that give a bonus (+62 atk) the multiplier is change from 7 to 18 and the skill damage increased of +64 (788,852)

• Level 13


• Attack 264(202+62 from equip)



• Skill damage (lv 12) 852




• Level 13



• Attack 264(202+62 from equip)


• Skill damage (lv 13) 870

multivariable-calculus

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edited Jul 27 at 12:14

asked Jul 27 at 11:04

Kanade Tachibana

11

add a comment | 

up vote
0
down vote

favorite

I need a formula for determine the amount of damage that a skill or ability can do.

I have some data that I don't have create myself, but I just taken from a game.

A character can grow up from lv 1 to 100, and he has a set of skills.

Every skill can go up from lv 1 to (current level of the character)

The skill damage is linear but influenced of character's attack, so more attack the character has and more damage can do the skill.

A character that we call John has the follow parameters

Max stats that John can reach:

• Level 100


• Attack 7337


• Skill damage (lv 100) 16574

Minimum stats:

• Level 1


• Attack 71


• Skill damage (lv 1) 479

The current stats of John:

• Level 13


• Attack 202


• Skill damage (lv 13) 805

When the skill was a previous level:

• Level 13


• Attack 202


• Skill damage (lv 12) 788

In theory the skill damage should get 7 points for level, of course with the current amount attack of John, but is linear.

What I'm trying to do is get the basic damage of a skill plus the correct multiplier

Edit:

Seems that adding an item that give a bonus (+62 atk) the multiplier is change from 7 to 18 and the skill damage increased of +64 (788,852)

• Level 13


• Attack 264(202+62 from equip)



• Skill damage (lv 12) 852




• Level 13



• Attack 264(202+62 from equip)


• Skill damage (lv 13) 870

multivariable-calculus

share|cite|improve this question

edited Jul 27 at 12:14

asked Jul 27 at 11:04

Kanade Tachibana

11

add a comment | 

up vote
0
down vote

favorite

up vote
0
down vote

favorite

I need a formula for determine the amount of damage that a skill or ability can do.

I have some data that I don't have create myself, but I just taken from a game.

A character can grow up from lv 1 to 100, and he has a set of skills.

Every skill can go up from lv 1 to (current level of the character)

The skill damage is linear but influenced of character's attack, so more attack the character has and more damage can do the skill.

A character that we call John has the follow parameters

Max stats that John can reach:

• Level 100


• Attack 7337


• Skill damage (lv 100) 16574

Minimum stats:

• Level 1


• Attack 71


• Skill damage (lv 1) 479

The current stats of John:

• Level 13


• Attack 202


• Skill damage (lv 13) 805

When the skill was a previous level:

• Level 13


• Attack 202


• Skill damage (lv 12) 788

In theory the skill damage should get 7 points for level, of course with the current amount attack of John, but is linear.

What I'm trying to do is get the basic damage of a skill plus the correct multiplier

Edit:

Seems that adding an item that give a bonus (+62 atk) the multiplier is change from 7 to 18 and the skill damage increased of +64 (788,852)

• Level 13


• Attack 264(202+62 from equip)



• Skill damage (lv 12) 852




• Level 13



• Attack 264(202+62 from equip)


• Skill damage (lv 13) 870

multivariable-calculus

share|cite|improve this question

edited Jul 27 at 12:14

asked Jul 27 at 11:04

Kanade Tachibana

11

I need a formula for determine the amount of damage that a skill or ability can do.

I have some data that I don't have create myself, but I just taken from a game.

A character can grow up from lv 1 to 100, and he has a set of skills.

Every skill can go up from lv 1 to (current level of the character)

The skill damage is linear but influenced of character's attack, so more attack the character has and more damage can do the skill.

A character that we call John has the follow parameters

Max stats that John can reach:

• Level 100


• Attack 7337


• Skill damage (lv 100) 16574

Minimum stats:

• Level 1


• Attack 71


• Skill damage (lv 1) 479

The current stats of John:

• Level 13


• Attack 202


• Skill damage (lv 13) 805

When the skill was a previous level:

• Level 13


• Attack 202


• Skill damage (lv 12) 788

In theory the skill damage should get 7 points for level, of course with the current amount attack of John, but is linear.

What I'm trying to do is get the basic damage of a skill plus the correct multiplier

Edit:

Seems that adding an item that give a bonus (+62 atk) the multiplier is change from 7 to 18 and the skill damage increased of +64 (788,852)

• Level 13


• Attack 264(202+62 from equip)



• Skill damage (lv 12) 852




• Level 13



• Attack 264(202+62 from equip)


• Skill damage (lv 13) 870

multivariable-calculus

share|cite|improve this question

edited Jul 27 at 12:14

asked Jul 27 at 11:04

Kanade Tachibana

11

share|cite|improve this question

share|cite|improve this question

edited Jul 27 at 12:14

edited Jul 27 at 12:14

edited Jul 27 at 12:14

asked Jul 27 at 11:04

Kanade Tachibana

11

asked Jul 27 at 11:04

Kanade Tachibana

11

asked Jul 27 at 11:04

Kanade Tachibana

11

11

add a comment | 

add a comment | 

1 Answer
1

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up vote
0
down vote

This is probably not a satisfying answer, but I think it's at least more than a comment.

It's not possible to answer this exactly without all the knowledge of the game (because there might be some non-linearities going on), but solving a linear system can give us an approximate answer. The linear system assumes that the answer is of the form

$$
textskill damage = A times textLevel + Btimes textAttack + Ctimes textSkill level + D
$$
Plugging in the values that you have given, we get the equations
$$
left{
beginarrayrcrcrcl
100 A &+& 7337 B &+& 100 C &+& D &= 16574 \
A &+& 71 B &+& C &+& D &= 479 \
13 A &+& 202 B &+& 13 C &+& D &= 805 \
13 A &+& 202 B &+& 12 C &+& D &= 788
endarray
right.
$$
Solving this gives us an approximate answer
$$
textskill damage = -13.5 times textLevel + 2times textAttack + 17times textSkill level + 321
$$
But this seems weird, because the Level multiplier is negative. This serves as evidence that the equation is more complicated than what we assumed.

share|cite|improve this answer

answered Jul 27 at 11:29

Matti P.

1,306212

add a comment | 

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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
0
down vote

This is probably not a satisfying answer, but I think it's at least more than a comment.

It's not possible to answer this exactly without all the knowledge of the game (because there might be some non-linearities going on), but solving a linear system can give us an approximate answer. The linear system assumes that the answer is of the form

$$
textskill damage = A times textLevel + Btimes textAttack + Ctimes textSkill level + D
$$
Plugging in the values that you have given, we get the equations
$$
left{
beginarrayrcrcrcl
100 A &+& 7337 B &+& 100 C &+& D &= 16574 \
A &+& 71 B &+& C &+& D &= 479 \
13 A &+& 202 B &+& 13 C &+& D &= 805 \
13 A &+& 202 B &+& 12 C &+& D &= 788
endarray
right.
$$
Solving this gives us an approximate answer
$$
textskill damage = -13.5 times textLevel + 2times textAttack + 17times textSkill level + 321
$$
But this seems weird, because the Level multiplier is negative. This serves as evidence that the equation is more complicated than what we assumed.

share|cite|improve this answer

answered Jul 27 at 11:29

Matti P.

1,306212

add a comment | 

up vote
0
down vote

This is probably not a satisfying answer, but I think it's at least more than a comment.

It's not possible to answer this exactly without all the knowledge of the game (because there might be some non-linearities going on), but solving a linear system can give us an approximate answer. The linear system assumes that the answer is of the form

$$
textskill damage = A times textLevel + Btimes textAttack + Ctimes textSkill level + D
$$
Plugging in the values that you have given, we get the equations
$$
left{
beginarrayrcrcrcl
100 A &+& 7337 B &+& 100 C &+& D &= 16574 \
A &+& 71 B &+& C &+& D &= 479 \
13 A &+& 202 B &+& 13 C &+& D &= 805 \
13 A &+& 202 B &+& 12 C &+& D &= 788
endarray
right.
$$
Solving this gives us an approximate answer
$$
textskill damage = -13.5 times textLevel + 2times textAttack + 17times textSkill level + 321
$$
But this seems weird, because the Level multiplier is negative. This serves as evidence that the equation is more complicated than what we assumed.

share|cite|improve this answer

answered Jul 27 at 11:29

Matti P.

1,306212

add a comment | 

up vote
0
down vote

up vote
0
down vote

This is probably not a satisfying answer, but I think it's at least more than a comment.

It's not possible to answer this exactly without all the knowledge of the game (because there might be some non-linearities going on), but solving a linear system can give us an approximate answer. The linear system assumes that the answer is of the form

$$
textskill damage = A times textLevel + Btimes textAttack + Ctimes textSkill level + D
$$
Plugging in the values that you have given, we get the equations
$$
left{
beginarrayrcrcrcl
100 A &+& 7337 B &+& 100 C &+& D &= 16574 \
A &+& 71 B &+& C &+& D &= 479 \
13 A &+& 202 B &+& 13 C &+& D &= 805 \
13 A &+& 202 B &+& 12 C &+& D &= 788
endarray
right.
$$
Solving this gives us an approximate answer
$$
textskill damage = -13.5 times textLevel + 2times textAttack + 17times textSkill level + 321
$$
But this seems weird, because the Level multiplier is negative. This serves as evidence that the equation is more complicated than what we assumed.

share|cite|improve this answer

answered Jul 27 at 11:29

Matti P.

1,306212

This is probably not a satisfying answer, but I think it's at least more than a comment.

It's not possible to answer this exactly without all the knowledge of the game (because there might be some non-linearities going on), but solving a linear system can give us an approximate answer. The linear system assumes that the answer is of the form

$$
textskill damage = A times textLevel + Btimes textAttack + Ctimes textSkill level + D
$$
Plugging in the values that you have given, we get the equations
$$
left{
beginarrayrcrcrcl
100 A &+& 7337 B &+& 100 C &+& D &= 16574 \
A &+& 71 B &+& C &+& D &= 479 \
13 A &+& 202 B &+& 13 C &+& D &= 805 \
13 A &+& 202 B &+& 12 C &+& D &= 788
endarray
right.
$$
Solving this gives us an approximate answer
$$
textskill damage = -13.5 times textLevel + 2times textAttack + 17times textSkill level + 321
$$
But this seems weird, because the Level multiplier is negative. This serves as evidence that the equation is more complicated than what we assumed.

share|cite|improve this answer

answered Jul 27 at 11:29

Matti P.

1,306212

share|cite|improve this answer

share|cite|improve this answer

answered Jul 27 at 11:29

Matti P.

1,306212

answered Jul 27 at 11:29

Matti P.

1,306212

answered Jul 27 at 11:29

Matti P.

1,306212

1,306212

add a comment | 

add a comment | 

 

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