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OMBA 102 · Unit 5 of 7

Relationships and Prediction

Data, Statistics and Managerial Decisions

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Learning objectives

After completing this unit, you will be able to:

  • Interpret correlation and its limits for managerial decisions
  • Build and read simple and multiple regression models
  • Validate forecasts and measure prediction error honestly
  • Distinguish correlation from causation and design better tests
  • Apply experimental thinking when observational data misleads

Why this matters

"Drivers of growth" regressions and forecast decks influence budgets and strategy. Unit 5 teaches you to use relationships and prediction tools without confusing fit with causation or overfitting history.

Unit overview

Work through the five lessons below in order. Replicate regression examples in a spreadsheet.

#LessonCore idea
1Correlation and Its LimitsAssociation vs mechanism
2Simple Linear RegressionLine fit, slope, intercept
3Multiple RegressionControls and interpretation
4Forecast Accuracy and Model ValidationTrain/test, error metrics
5Causality, Confounding, and Experimental DesignWhen prediction is not proof

Connection to applied work

Add a regression or forecast section to your project with explicit limits: what you predict, what you cannot claim causally, and validation approach.

Practice

  1. Interpret a correlation table without causal language.
  2. Fit a simple regression; explain slope in business units.
  3. Add one control variable in multiple regression and note coefficient change.
  4. Compare in-sample vs out-of-sample forecast error.

Knowledge check

  1. Why does correlation not imply causation?
  2. What does R-squared measure and overstate?
  3. What is confounding?
  4. How do you know a forecast is overfit?
  5. When is an experiment required?

Key takeaways

  • Relationships help prediction and hypothesis generation, not automatic policy.
  • Validation discipline separates models from stories.
  • Causal claims need design, not just more variables.
  • Complete lessons before assessments.

Unit assessment

Complete each section below. Score 80%+ on the quiz to finish this unit's assessment.

40% applied project35% knowledge checks25% reflections

Exercises

Apply what you learned in this unit with structured practice.

ExerciseApplied practice: Relationships and Prediction45 min
Complete a focused practice exercise on **Relationships and Prediction**. 1. Choose a real company, product, or situation you know. 2. Apply one core framework from this unit to analyze it. 3. Write your analysis in 300–500 words with a clear recommendation. 4. Cite at least one credible source.

Deliverable

300–500 word analysis document saved to your portfolio under OMBA 102.

Rubric

  • Framework applied correctly (not just named)
  • Specific evidence from a real example
  • Clear recommendation with tradeoffs acknowledged
  • Professional writing with source citation
ExerciseDrill: Relationships and Prediction30 min
Work through the practice problems in the unit lesson without looking at notes. Then check your work against the lesson and write a short reflection: - What you got right - One mistake you caught - One concept to review before the next unit

Deliverable

Problem solutions + 150-word reflection in your OMBA 102 workbook.

Rubric

  • Attempted all practice items before checking answers
  • Honest reflection on errors
  • Identifies a specific review action

Model / spreadsheet

Build or extend a spreadsheet model tied to this unit.

ModelStructured model: Relationships and Prediction60 min
Create a structured analytical model for **Relationships and Prediction**. Document your assumptions, calculations, and conclusions in a format appropriate to OMBA 102 (diagram, table, or written model). Connect outputs to a decision a manager would make.

Deliverable

Structured model document (2+ pages) · One-paragraph summary of key insight from the model · Screenshot or export saved to portfolio

Rubric

  • Assumptions stated explicitly
  • Logic is auditable (formulas or steps visible)
  • Output answers a specific business question
  • Sensitivity or scenario considered

Knowledge quiz

Check your understanding before marking the unit complete.

1. Support contacts correlate r = 0.72 with retention, but contacts respond to distress. The best managerial read is:

2. If r = 0.60 between ad spend and revenue, what is r²?

3. In simple linear regression of revenue on ad spend, a slope of 4.2 means:

4. Adding customer tenure to a churn model changes the sign on campaign exposure. This most likely indicates:

5. A model with 40 predictors fit to 45 historical weeks will likely:

6. MAPE of 8% on a demand forecast means, roughly:

7. To estimate causal effect of a new pricing page, the strongest design is:

8. Extrapolating a linear trend in ad spend to double current levels primarily risks: