Question

The correlation between height and weight for a certain breed of plant is found to be 0.75. What percentage of the variability in plant weight is NOT explained by height

Answer 1

The correlation between height and weight for a certain breed of plant is found to be 0.75. the percentage of the variability in plant weight is not explained by height is 43.75%

Step-by-step explanation:

Given:

The correlation between height and weight of certain plant = 0.75

To find:

Percentage of plant that cannot be calculated by height = ?

Solution:

The
`r^(2)` between the variables

The
`r^(2) = 0.75^(2)`

= 0.5625

which is 56.25% of variability in the plant weight calculated on the basis of height.

Hence, the variability which has not been explained by the model is,

= 1-0.5625

= 0.4375

= 43.75%

Percentage of plant that cannot be calculated by height is 43.75%