Question

The correlation coefficient between x and a-x is -1. True or false. Give reason

Answer 1

The given statement is

☑️☑️True☑️☑️

Answer 2

Answer:

True

Step-by-step explanation:

r(x,a-x)=cov(x,a-x)/√varx*√var(a-x)

r(x,a-x)=-cov(x,x)/√varx*√varx. [#var(a-x)=(-1)²varx]

cov(x,x)=varx

=>-varx/varx=-1