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Linear Correlation

Gujarat Board · Class 12 · Statistics

Step-by-step guide to study Linear Correlation in Gujarat Board Class 12 Statistics. Topics to cover, practice strategy, and time allocation.

5 concepts

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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. Focus on numerical problems and application-based questions.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Linear Correlation after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • Correlation studies the relationship between TWO variables (bivariate data).
  • Positive correlation: both variables move in the same direction.
  • Negative correlation: variables move in opposite directions.

  • Scatter diagram is the simplest method — plot points and observe the pattern.
  • Upward trend = Positive correlation; Downward trend = Negative correlation.
  • Tighter clustering around a line = Higher strength of correlation.

  • r always lies between −1 and +1 inclusive.
  • r has NO units — it is a pure number.
  • r(X,Y) = r(Y,X) — symmetric property.

Common Mistakes to Avoid

If correlation coefficient r = 0, it means there is NO relationship between the two variables.

A high correlation (r close to 1 or -1) proves a cause-and-effect relationship between the two variables.

Changing the origin or scale of variables changes the value of the correlation coefficient r.

Memory Tips

Definition of Correlation — simultaneous change in two variables due to cause-effect

Positive Correlation — both variables change in the SAME direction

Negative Correlation — variables change in OPPOSITE directions

Scatter Diagram — plotting ordered pairs to find nature of correlation

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Frequently Asked Questions

What are the important topics in Linear Correlation for Gujarat Board Class 12 Statistics?
Linear Correlation covers several key topics that are frequently asked in Gujarat Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Correlation — Gujarat Board Class 12 Statistics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Linear Correlation

All 9 chapters — Gujarat Board Class 12 Statistics Study Plan

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