The Coefficient of Determination (VCE SSCE General Mathematics): Quizzes

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The Coefficient of Determination
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How is the coefficient of determination calculated?

By squaring the correlation coefficient

What is true about the coefficient of determination when rr is negative?

It is always positive

What is the range of values for the coefficient of determination expressed as a percentage?

0%0\% to 100%100\%

If r=0.8r = 0.8, what is the coefficient of determination as a percentage?

64%64\%

What does a coefficient of determination of 64%64\% mean for height and weight?

64%64\% of weight variation explained by height

Which coefficient of determination indicates the best predictor?

97.0%97.0\%

To find rr from r2r^2, what additional information is needed?

A scatterplot to determine the sign

What type of predictions can be made when r=1r = 1 or r=−1r = -1?

Exact predictions

If r=0.275r = 0.275, what is r2r^2 as a percentage (to one decimal place)?

7.6%7.6\%

If r2=64%r^2 = 64\% for height and weight, what percentage is unexplained by height?

36%36\%

Explore VCE SSCE General Mathematics Revision Notes by Topics

Scatterplots

How to Interpret a Scatterplot

Pearson’s Correlation Coefficient (r)

Fitting a Linear Model to the Data

Interpreting and Predicting From a Linear Model

Bivariate Data – Classifying the Variables

Investigating Associations Between Categorical Variables

Investigating the Association Between a Numerical and a Categorical Variable

Investigating Associations Between Two Numerical Variables

How to Interpret a Scatterplot - Further Exploration

Strength of a Linear Relationship: The Correlation Coefficient

The Coefficient of Determination

Correlation and Causality

Show more

Investigating Associations Between Two Numerical Variables

How to Interpret a Scatterplot - Further Exploration

Strength of a Linear Relationship: The Correlation Coefficient

The Coefficient of Determination

Correlation and Causality

Explore VCE SSCE General Mathematics Model Answers by Topics

Scatterplots

How to Interpret a Scatterplot

Pearson’s Correlation Coefficient (r)

Fitting a Linear Model to the Data

Interpreting and Predicting From a Linear Model

Bivariate Data – Classifying the Variables

Investigating Associations Between Categorical Variables

Investigating the Association Between a Numerical and a Categorical Variable

Investigating Associations Between Two Numerical Variables

How to Interpret a Scatterplot - Further Exploration

Strength of a Linear Relationship: The Correlation Coefficient

The Coefficient of Determination

Correlation and Causality

Show more

Investigating Associations Between Two Numerical Variables

How to Interpret a Scatterplot - Further Exploration

Strength of a Linear Relationship: The Correlation Coefficient

The Coefficient of Determination

Correlation and Causality

Explore VCE SSCE General Mathematics Flashcards by Topics

Scatterplots

How to Interpret a Scatterplot

Pearson’s Correlation Coefficient (r)

Fitting a Linear Model to the Data

Interpreting and Predicting From a Linear Model

Bivariate Data – Classifying the Variables

Investigating Associations Between Categorical Variables

Investigating the Association Between a Numerical and a Categorical Variable

Investigating Associations Between Two Numerical Variables

How to Interpret a Scatterplot - Further Exploration

Strength of a Linear Relationship: The Correlation Coefficient

The Coefficient of Determination

Correlation and Causality

Show more

Investigating Associations Between Two Numerical Variables

How to Interpret a Scatterplot - Further Exploration

Strength of a Linear Relationship: The Correlation Coefficient

The Coefficient of Determination

Correlation and Causality

Explore VCE SSCE General Mathematics Exam Questions by Topics

Scatterplots

How to Interpret a Scatterplot

Pearson’s Correlation Coefficient (r)

Fitting a Linear Model to the Data

Interpreting and Predicting From a Linear Model

Bivariate Data – Classifying the Variables

Investigating Associations Between Categorical Variables

Investigating the Association Between a Numerical and a Categorical Variable

Investigating Associations Between Two Numerical Variables

How to Interpret a Scatterplot - Further Exploration

Strength of a Linear Relationship: The Correlation Coefficient

The Coefficient of Determination

Correlation and Causality

Show more

Investigating Associations Between Two Numerical Variables

How to Interpret a Scatterplot - Further Exploration

Strength of a Linear Relationship: The Correlation Coefficient

The Coefficient of Determination

Correlation and Causality

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