توضیح 1
Estimated time: 90 minutes.
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درس 11 از 11
Integrate service, arrival, quality, lifetime, and project-risk models into an original executive recommendation.
وضعیت ترجمه محتوای درس
ترجمه دانشگاهی فارسی در حال بازبینی انسانی است. متن آموزشی تأییدشده انگلیسی در ادامه نمایش داده میشود؛ رابط کاربری فارسی است و فرمولها، کد R، نمادگذاری و نام ستونها چپبهراست باقی میمانند.
Lesson 7.10
Integrate service, arrival, quality, lifetime, and project-risk models into an original executive recommendation. Business question: Estimate and validate the threshold.
توضیح 1
Estimated time: 90 minutes.
توضیح 2
Prior knowledge: complements, algebra, probability notation, and careful unit conversion.
توضیح 3
Build an auditable multi-model analysis with exact-versus-approximate checks.
توضیح 4
Defend an operational recommendation using probabilities, thresholds, limitations, and reproducible R.
توضیح 5
Interpret a capstone: northstar operations risk lab result in business context with consistent units.
توضیح 6
Use and explain the relevant base R distribution functions without confusing density, probability, quantiles, or simulation.
Core explanation
Student brief: Northstar must set service, quality, warranty, and project thresholds from synthetic evidence. Independent pathway: Learners choose and defend models after guided diagnostics. Audit trail: Code, assumptions, exact checks, and sensitivity results accompany the decision.
توضیح 1
A probability is an area over an event, not an unexplained curve height.
توضیح 2
State the random variable, support, units, and assumptions before using a formula.
توضیح 3
Connect every numerical answer to a practical decision and limitation.
اصطلاحات
Northstar must set service, quality, warranty, and project thresholds from synthetic evidence.
A decision memo with reproducible exhibits.
Learners choose and defend models after guided diagnostics.
No prewritten recommendation.
Code, assumptions, exact checks, and sensitivity results accompany the decision.
A manager can reproduce every number.
نمادگذاری و فرمولها
recommendation = evidence + threshold + consequence + limitation
Symbols: each threshold must be defined with its variable, model, parameters, units, probability direction, and decision consequence before calculation. Units: state and reconcile the operational unit for every threshold. Use: apply this relationship only after defining the model and event. Plain-text equivalent: recommendation = evidence + threshold + consequence + limitation.
مثال حلشده
سناریو
Northstar wants at least 90% of services under a proposed limit.
بررسی با R
Use d/p/q/r prefixes consistently: density, cumulative probability, quantile, and random generation. Print intermediate checks for auditability.Use a normal quantile only if service-time diagnostics support it.
تمرین هدایتشده
سناریو
A binomial defect tail is approximated by a normal curve.
بررسی با R
Use d/p/q/r prefixes consistently: density, cumulative probability, quantile, and random generation. Print intermediate checks for auditability.Show the rule check, continuity correction, exact probability, and error.
فعالیت تعاملی
مدل پیشنهادی
Collect process evidence first
این پیشنهاد آغاز ممیزی است و اثبات برازش نیست.
تمرین مستقل
سناریو
Leadership accepts a 12% modelled early-failure rate.
بررسی با R
Use d/p/q/r prefixes consistently: density, cumulative probability, quantile, and random generation. Print intermediate checks for auditability.Use an inverse exponential calculation and challenge constant hazard.
تمرین مستقل
سناریو
Scenario durations are bounded and right-skewed.
بررسی با R
Use d/p/q/r prefixes consistently: density, cumulative probability, quantile, and random generation. Print intermediate checks for auditability.Use simulated triangular scenarios and sensitivity analysis.
ارتباط با R
Use d/p/q/r prefixes consistently: density, cumulative probability, quantile, and random generation. Print intermediate checks for auditability. Run the original starter code, inspect every printed intermediate value, then modify one assumption and explain the decision impact. Keep code, formulas, function names, column names, and numerical output left-to-right.
Live R Lab
Integrate continuous models into an auditable service, quality, and warranty recommendation.
Ready to run
Common mistakes and model safeguard
The capstone uses fictional records only. Do not upload personal, confidential, or proprietary data to the R Lab or assistant. Also check tail direction, parameter units, support, and whether software returned density, cumulative probability, a quantile, or generated data.
Originality and provenance
Original synthetic data generated for STATLAB Academy. No textbook data used.
بازاندیشی
Name the assumption, the evidence you would seek, and how the recommendation could change.
Lesson summary
Integrate service, arrival, quality, lifetime, and project-risk models into an original executive recommendation. The reliable workflow is: define X and units, justify the model, state the event, calculate, verify, interpret, and disclose limitations.
توضیح 1
Student brief: Northstar must set service, quality, warranty, and project thresholds from synthetic evidence.
توضیح 2
Independent pathway: Learners choose and defend models after guided diagnostics.
توضیح 3
Audit trail: Code, assumptions, exact checks, and sensitivity results accompany the decision.
دستیار
Coach me through Capstone: Northstar Operations Risk Lab one decision at a time. Before submission, give hints only and do not reveal quiz answers or complete my recommendation.
منبع
Download an original, accessible STATLAB Academy reference and practice sheet.
دریافتCapstone deliverable
Guided pathway: complete the five model gates in order and use the provided audit table. Independent pathway: choose the order, justify alternative models, and design one sensitivity test. Both pathways require original prose, reproducible R, accessible exhibits, and a concise executive memo.
توضیح 1
Student submission: decision memo, R script, tables/plots, assumption register, and sensitivity note.
توضیح 2
Instructor solution: available in the educator guide with numeric checkpoints and common-error diagnostics.
توضیح 3
No solution text is placed in the learner brief or client-side activity.
Northstar grading rubric
Model choice and assumptions 20%; correct probabilities and thresholds 25%; reproducible R and data audit 15%; visuals and accessibility 10%; exact-versus-approximate validation 10%; decision reasoning 15%; limitations and ethics 5%.
ارزیابی پایانی
ارزیابی پایانی