Chapter 3 of 9
Concept Maps
Linear Correlation — Concept Maps
Gujarat Board · Class 12 · Statistics
4 concept maps of Linear Correlation for Gujarat Board Class 12 Statistics, each also written out as a text outline.
9 formulas & key relations5 concepts
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4 Concept Maps
Linear Correlation — Complete Chapter Overview
The map in words
- Linear Correlation
- Types of Correlation
- Positive Correlation
- Same Direction Change
- Example Price and Supply
- Negative Correlation
- Opposite Direction Change
- Example Price and Demand
- No Correlation
- r equals zero
- Only linear absent
- Positive Correlation
- Methods of Measurement
- Scatter Diagram
- Visual Method
- No exact value
- Pattern of Points
- Karl Pearson Method
- Uses Actual Values
- Formula based
- Assumed Mean Shortcut
- Spearman Rank Method
- Uses Ranks
- Qualitative Data
- Tied Ranks with CF
- Scatter Diagram
- Correlation Coefficient r
- Range minus1 to plus1
- No Unit
- Sign gives Direction
- Magnitude gives Strength
- Key Properties
- Invariant under Scale Change
- r of XY equals r of YX
- Extreme values affect r
- Precautions
- No Cause Effect Proof
- Spurious Correlation
- r zero means no linear only
- Data specific interpretation
- Types of Correlation
Linear Correlation — Complete Formula and Concept Map
The map in words
- Linear Correlation
- Types
- Positive Correlation
- Same Direction
- r is positive
- Negative Correlation
- Opposite Direction
- r is negative
- Positive Correlation
- Methods
- Scatter Diagram
- Visual Method
- No exact r value
- Karl Pearson Method
- Uses Actual Values
- Deviation Formula
- Coded Formula
- Range minus1 to plus1
- Spearman Rank Method
- Uses Ranks
- No Ties Formula
- With Ties Formula
- Add CF for Ties
- Scatter Diagram
- Properties of r
- Range minus1 to plus1
- No Units
- Symmetric r XY = r YX
- Origin Change No Effect
- Scale Change No Effect
- One Sign Reversed r Sign Changes
- Interpretation
- r = plus1 Perfect Positive
- r = minus1 Perfect Negative
- r = 0 No Linear Correlation
- r near plus1 High Positive
- r near minus1 High Negative
- Precautions
- Correlation not Causation
- Spurious Correlation
- r=0 not mean No Correlation
- Limited to Given Data Range
- Types
Linear Correlation — Complete Chapter Overview
The map in words
- Linear Correlation
- Types of Correlation
- Positive Correlation
- Same Direction Change
- Price and Supply
- Income and Expenditure
- Negative Correlation
- Opposite Direction Change
- Price and Demand
- Expenditure and Savings
- No Linear Correlation
- r equals zero
- Non-linear may exist
- Positive Correlation
- Methods of Studying Correlation
- Scatter Diagram
- Visual Method
- Nature only
- No exact degree
- Karl Pearson Method
- Quantitative Data
- Formula 2 Integer Means
- Formula 3 Raw Data
- Formula 4 Change of Origin
- Spearman Rank Method
- Qualitative Data
- Ranked Data
- Without Ties
- With Ties plus CF
- Scatter Diagram
- Properties of r
- Range Minus1 to Plus1
- No Units
- Symmetric
- Origin Scale Invariant
- Sign Change Rule
- Interpretation of r
- r equals plus1 Perfect Positive
- r near plus1 High Positive
- r equals 0 No Linear
- r near minus1 High Negative
- r equals minus1 Perfect Negative
- Precautions
- Correlation not Causation
- Spurious Correlation
- Third Variable Effect
- r zero not No Relation
- Scope of Data
- Types of Correlation
Linear Correlation
The map in words
- Linear Correlation
- Definition of Correlation
- Types of Correlation
- Methods of Studying Correlation
- Scatter Diagram Method
- Karl Pearson Method
- Spearman Rank Correlation
- Properties of r
- Interpretation of r
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Explore DiagramsFrequently Asked Questions
What are the important topics in Linear Correlation for Gujarat Board Class 12 Statistics?
Key topics in Linear Correlation include Core Concepts and Definitions, Scatter Diagram Method, Karl Pearson's Product Moment Method, Properties of Correlation Coefficient – Detailed Study. Study these first, then practise questions on each for the Gujarat Board Class 12 board exam.
What do the concept maps for Linear Correlation show?
The 4 maps show how the ideas in Linear Correlation connect: Linear Correlation — Complete Chapter Overview; Linear Correlation — Complete Formula and Concept Map. Each map is also written out as an outline on this page.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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