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

📚Flashcards
The Coefficient of Determination
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Coefficient of determination formula

r2r^2

What r2r^2 measures

Proportion of variation explained in one variable by another

Range of r2r^2 values

00 to 11 or 0%0\% to 100%100\%

Is r2r^2 always positive?

Yes, even if rr is negative

rr value for perfect linear association

r=1r = 1 or r=1r = -1

rr value for no association

r0r \approx 0

Meaning of r2=64%r^2 = 64\% (weight vs height)

64%64\% of weight variation explained by height

Finding rr from r2r^2

Take square root; check scatterplot for sign

High r2r^2 (near 100%100\%) means

Excellent predictor; most variation explained

Calculate r2r^2 as % if r=0.8r = 0.8

64%64\%

Join 100,000+ SSCE students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.