Question

If the coefficient of correlation between two variables is 0.7 then the percentage of variation unaccounted for is(a) 70%(b) 30%(c) 51%(d) 49%​

Answer 1

The percentage of variation unaccounted for is 51 %.

Option (C) is correct.

Step-by-step explanation:

Given Data:  

• The coefficient of correlation between two variables = 0.7

• Then the percentage of variation accounted for is given by the following method

By taking square of coefficient of correlation

=  (0.7)^2 = 0.49

Hence the percentage of variation unaccounted for is =  1 - 0.49 = 0.51

= 0.51 x 100 = 51 %

Answer 2

Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Coefficient of correlation between two variables = 0.7

We need to find the percentage of variation unaccounted for.

As we know that

Percentage of variation accounted for = $(\text{Coefficient of correlation})^2=(0.7)^2=0.49$

Percentage of variation unaccounted for is given by

$1-0.49=0.51\\\\=51\%$

Hence, Option 'c' is correct.

# learn more :

https://brainly.in/question/13170464 Answered by Manetho

Topic: Coefficient of correlation