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

Answer:

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%

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%