Coefficient of correlation - class-XI
Description: coefficient of correlation | |
Number of Questions: 19 | |
Created by: Sangita Pandit | |
Tags: business maths introduction to statistical method and econometrics statistics linear correlation correlation economics correlation analysis correlation and regression analysis |
Write True/False in the following statement:
If regression coefficient are $0.8$ and $0.2$ then the value of corelation coefficient is $+0.4$
It is perfect correlaion if
The coefficient of correlation is always between
It is moderate degree of relation if
It is high degree of relation if
The formula for correlation coeficient $r$ of two variables $x$ and $y$ is
Write True/False in the following statement:
The value of correlation coefficient lies between $-2$ to $+2$
State the following statement is true or false
Consider the following statements :
1. Two independent variables are always uncorrelated.
2. The coefficient of correlation between two variables X and Y is positive. When X decreases then Y decreases.
Which of the above statements is/are correct ?
State the following statement is true or false
Calculate the correlation coefficient between the corresponding values of X and Y in the following table:
X | 2 | 4 | 5 | 6 | 8 | 11 |
---|---|---|---|---|---|---|
Y | 18 | 12 | 10 | 8 | 7 | 5 |
Two variates, x and y, are uncorrelated and have standard deviations $\sigma _x$ and $\sigma _y$ respectively. What is the correlation coefficient between x + y and x - y?
The regression coefficients of a bivariate distribution are -0.64 and -0.36. Then the correlation coefficient of the distribution is
For two variables x and y. the two regression coefficients are $b _{x}= -\dfrac{3}{2}$ and $b _{y}=-\dfrac{1}{6}$.
The correlation coefficient between x and y is :
If the covariance between x and y is $30$, variance of x is $25$ and variance of y is $144$, then what is the correlation coefficient?
For two variables $x$ and $y$ regression equations are given as $7x-3y-18=0$ and $4x-y-11=0$ then the correlation coefficient between $x$ and $y$ is
Calculate the coefficient of correlation between $x$ and $y$ for the data
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|---|---|
y | 3 | 10 | 5 | 1 | 2 | 9 | 4 | 8 | 7 | 6 |