Linear Correlation — Study Plan
Gujarat Board · Class 12 · Statistics
A step-by-step study plan for Linear Correlation, Gujarat Board Class 12 Statistics: what to learn first, what to practise and when to revise.
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Study Plan
Learn the Theory
Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: Core Concepts and Definitions, Scatter Diagram Method, Karl Pearson's Product Moment Method.
Practise
Solve the textbook exercises and extra practice questions.
Revise & Test
Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.
Spaced Revision
Come back to Linear Correlation after a week. Use flashcards for quick recall and try past exam questions on 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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Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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