Mathematics · Statistics

Association-Rule Leverage product of marginal supports Solver

Rearrange the association-rule leverage relationship and solve for product of marginal supports.

Runs locally
Your numbers

Inputs and results stay in this browser. Change one value at a time to explore the relationship.

Your inputCalculatedPassed forward in chains
product of marginal supports0.12
Reconstructed rule leverage0.06

Calculation steps

  1. Use b=a−c with rule leverage=0.06 and joint antecedent-consequent support=0.18.
  2. product of marginal supports=0.12.
  3. Substitution into c=a−b reconstructs 0.06.

Understand Association-Rule Leverage: solve product of marginal supports

One idea, three depths

Choose how deeply to explain Association-Rule Leverage: solve product of marginal supports

Association-Rule Leverage: solve product of marginal supports: Rearrange the association-rule leverage relationship and solve for product of marginal supports.

Age 5Explain it to a 5-year-oldStart with a picture

Imagine using Association-Rule Leverage: solve product of marginal supports to answer this question: rearrange the association-rule leverage relationship and solve for product of marginal supports? Enter rule leverage and joint antecedent-consequent support; the calculator shows product of marginal supports. For example: joint antecedent-consequent support=0.18 and product of marginal supports=0.12 produce rule leverage=0.06. The answer tells you product of marginal supports.

Age 15Explain it to a 15-year-oldConnect it to the formula

Leverage is joint support minus the support expected from the product of the two marginals under independence. This page isolates product of marginal supports and verifies it in the original relationship. The rule is b=a−c. Its input values are rule leverage, joint antecedent-consequent support, and the main result is product of marginal supports. For example: joint antecedent-consequent support=0.18 and product of marginal supports=0.12 produce rule leverage=0.06.

CollegeExplain it at college levelState the model precisely

This calculator evaluates the stated association-rule leverage: solve product of marginal supports relation over the valid real-number domain stated below. The implemented relation is b=a−c, evaluated from rule leverage, joint antecedent-consequent support to produce product of marginal supports. Leverage is joint support minus the support expected from the product of the two marginals under independence. This page isolates product of marginal supports and verifies it in the original relationship. All supports must use the same transaction universe and decimal scale.

Inputs and valid domain

  • rule leverage must be a finite real number.
  • joint antecedent-consequent support must be a finite real number.

Important boundary: All supports must use the same transaction universe and decimal scale.

The formula

b=a−c

How the calculator works through it

It substitutes rule leverage, joint antecedent-consequent support into the formula and exposes every numerical step above. The main output is product of marginal supports, accompanied by Reconstructed rule leverage.

Read the result correctly

The product of marginal supports is the direct answer to “rearrange the association-rule leverage relationship and solve for product of marginal supports.” Read it with the units shown beside the inputs; a sign, angle, percentage or rate changes what the number means.

A worked check

joint antecedent-consequent support=0.18 and product of marginal supports=0.12 produce rule leverage=0.06.

Where this model stops being reliable

All supports must use the same transaction universe and decimal scale.

Learn it by changing one value

Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.

Dictionary terms behind this calculator

Before studying the codeWhat you should know firstUse the calculator immediately, or check the foundations before reading the implementation.

These foundations help you understand why Association-Rule Leverage: solve product of marginal supports works. They never block the calculator, and “optional” means useful context rather than a hidden requirement.

Hard requirements

  • Reading formulas and substituting values

    Association-Rule Leverage: solve product of marginal supports uses b=a−c. You need to recognise what each side represents before substituting the stated inputs or rearranging the relationship.

    Review this foundation about 4 min

Strong support

  • Averages and representative values

    Representative values help you judge what the Association-Rule Leverage: solve product of marginal supports inputs summarise and what the result can legitimately describe.

    Review this foundation about 5 min

Optional enrichment

  • Spread and measurement variation

    Variation is not always part of the Association-Rule Leverage: solve product of marginal supports formula, but it helps you judge how stable a reported result may be.

    Review this foundation about 6 min
Learn the missing foundationsI already know these — show the code

Mathematics → algorithm → program

Implement this calculation in code

These are direct reference implementations of the calculator's principal relationship and first output. They run locally and include a small known-answer check where the language supports it.

Algorithm

  1. Read rule leverage, joint antecedent-consequent support.
  2. Evaluate the principal relationship: b=a−c.
  3. Return product of marginal supports and check the domain conditions described above.
Python
            from math import *

def association_rule_leverage_solve_b(c, a) -> float:
    return (a - c)

assert abs(association_rule_leverage_solve_b(0.06, 0.18) - 0.12) < 1e-6 * max(1.0, abs(0.12))
          
Current calculator valuesUpdates when you change an input above.
              
            
C
            #include <assert.h>
#include <math.h>

double association_rule_leverage_solve_b(double c, double a) {
    return (a - c);
}

int main(void) {
    const double expected = 0.12;
    const double actual = association_rule_leverage_solve_b(0.06, 0.18);
    assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
          
Current calculator valuesUpdates when you change an input above.
              
            
C++
            #include <cassert>
#include <cmath>
#include <numbers>

double association_rule_leverage_solve_b(double c, double a) {
    return (a - c);
}

int main() {
    constexpr double expected = 0.12;
    const double actual = association_rule_leverage_solve_b(0.06, 0.18);
    assert(std::fabs(actual - expected) < 1e-6 * std::fmax(1.0, std::fabs(expected)));
}
          
Current calculator valuesUpdates when you change an input above.
              
            
Linux x86-64 assembly

x86-64 NASM · System V ABI · Linux · SSE2 with libm where required

            ; double association_rule_leverage_solve_b(double c, double a)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global association_rule_leverage_solve_b
section .text

association_rule_leverage_solve_b:
    push rbp
    mov rbp, rsp
    sub rsp, 32
    movsd [rbp-8], xmm0
    movsd [rbp-16], xmm1
    movsd xmm0, [rbp-16]
    subsd xmm0, [rbp-8]
    movsd [rbp-24], xmm0
    movsd xmm0, [rbp-24]
    leave
    ret
          
Current calculator valuesUpdates when you change an input above.
              
            
MATLAB
            function result = association_rule_leverage_solve_b(c, a)
    result = (a - c);
end
          
Current calculator valuesUpdates when you change an input above.
              
            
Wolfram Language
            ClearAll[mwCalculate];
mwCalculate[c_, a_] := (a - c);
          
Current calculator valuesUpdates when you change an input above.
              
            

Continue in mathematical software

The downloaded file includes your current inputs and first calculated result. It is created locally.

Floating-point answers can differ slightly by language, compiler and processor. Compare within a suitable tolerance rather than assuming every decimal representation will be identical.

Supporting sourcesAcademic referencesPrimary standards, textbooks and complete citations

Standards, reading and academic references

Use the calculator as the worked interaction, then consult the primary standards and academic textbooks listed below. MW SysArc links to the original sources; the explanation on this page is original and does not reproduce them.

Introductory Statistics 2e

Read the free OpenStax statistics textbook
Cite this book
APA 7
Illowsky, B., & Dean, S. (2023). Introductory statistics 2e. OpenStax. https://openstax.org/books/introductory-statistics-2e/pages/1-introduction
MLA 9
Illowsky, Barbara, and Susan Dean. Introductory Statistics 2e. OpenStax, 2023, https://openstax.org/books/introductory-statistics-2e/pages/1-introduction.
Chicago author-date
Illowsky, Barbara, and Susan Dean. 2023. Introductory Statistics 2e. Houston, TX: OpenStax. https://openstax.org/books/introductory-statistics-2e/pages/1-introduction.

OpenStax entries are free to read online. Follow the licence shown on each linked source before redistributing or adapting its content.

Reuse the page responsiblyCite this pageAPA, MLA, Chicago, Harvard, BibTeX and RIS

These formats cite this calculator page itself. They are separate from the academic references above, which support the mathematical method and terminology.

APA 7

MW SysArc. (2026, July 21). Association-Rule Leverage product of marginal supports Solver. MW SysArc Tools. https://math.mwsysarc.com/statistics/association-rule-leverage-product-of-marginal-supports-solver

MLA 9

MW SysArc. “Association-Rule Leverage product of marginal supports Solver.” MW SysArc Tools, 21 July 2026, https://math.mwsysarc.com/statistics/association-rule-leverage-product-of-marginal-supports-solver. Accessed 31 Aug. 2026.

Chicago 17

MW SysArc. “Association-Rule Leverage product of marginal supports Solver.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://math.mwsysarc.com/statistics/association-rule-leverage-product-of-marginal-supports-solver.

Harvard

MW SysArc (2026) ‘Association-Rule Leverage product of marginal supports Solver’, MW SysArc Tools. Published 21 July 2026. Available at: https://math.mwsysarc.com/statistics/association-rule-leverage-product-of-marginal-supports-solver (Accessed: 31 August 2026).

BibTeX and RIS records

BibTeX

@misc{mwsysarc_association_rule_leverage_solve_b_2026,
  author = {{MW SysArc}},
  title = {Association-Rule Leverage product of marginal supports Solver},
  howpublished = {MW SysArc Tools},
  year = {2026},
  url = {https://math.mwsysarc.com/statistics/association-rule-leverage-product-of-marginal-supports-solver},
  note = {Published July 21, 2026; accessed August 31, 2026}
}

RIS

TY  - ELEC
AU  - MW SysArc
TI  - Association-Rule Leverage product of marginal supports Solver
T2  - MW SysArc Tools
PY  - 2026
DA  - 2026-07-21
Y2  - 2026-08-31
UR  - https://math.mwsysarc.com/statistics/association-rule-leverage-product-of-marginal-supports-solver
N1  - Published July 21, 2026
ER  -

Clear answers

Frequently asked questions

What does the Association-Rule Leverage: solve product of marginal supports do?

Rearrange the association-rule leverage relationship and solve for product of marginal supports.

How does the Association-Rule Leverage: solve product of marginal supports work?

The calculator applies b=a−c. Leverage is joint support minus the support expected from the product of the two marginals under independence. This page isolates product of marginal supports and verifies it in the original relationship.

What can I learn from the Association-Rule Leverage: solve product of marginal supports?

It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.

Does MW SysArc receive or store what I enter?

No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.

How should I use the result?

Use the steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.

Last reviewed . Calculations tested .

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