Question

If the two regression co-efficient are 4 and 16 the percentage of unexplained variation is:(a) 64(b) 36(c) 54(d) 46​

Answer 1

Correlation, r, is a measure of linear association between two variables. Coefficient of determination, r2, is a measure of how much of the variability in one variable can be "explained by" variation in the other.

For example, if r=0.8 is the correlation between two variables, then r2=0.64. Hence, 64% of the variability in one can be explained by differences in the other. Right?

My question is, for the example stated, is either of the following statements correct?

64% of values fall along the regression line

80% of values fall along the regression line

Answer 2

Answer:

36

Step-by-step explanation:

Correlation, r, is a measure of linear association between two variables. Coefficient of determination, r^2, is a measure of how much of the variability in one variable can be "explained by" variation in the other.

r^2=expainrd vaiance/total variance

1-r^2=1 - (expainrd vaiance/total variance )

      = Unexpainrd vaiance/total variance

we know : r^2=Bxy*Byx  

given Bxy=4 & Byx=16

r^2= 4*16  

   =64

1-r^2 = 1- 64/100

       =  100-64 /100

       =36%

       = un explained variance