English

Bring out the inconsistency in the following: bYX = 2.6 and bXY = 12.6 - Mathematics and Statistics

Advertisements
Advertisements

Question

Bring out the inconsistency in the following:

bYX = 2.6 and bXY = `1/2.6`

Sum

Solution

Given, bYX = 2.6 and bXY = `1/2.6`

Here, bYX and bXY have the same signs.

Also, bYX > 1 and bXY < 1

Also, for consistent data, the signs of bYX and bXY are same and bYX > 1, bXY < 1

Here, bYX. bXY = 1

∴ The given data is consistent.

shaalaa.com
Properties of Regression Coefficients
  Is there an error in this question or solution?
Chapter 3: Linear Regression - Exercise 3.2 [Page 47]

APPEARS IN

RELATED QUESTIONS

Two samples from bivariate populations have 15 observations each. The sample means of X and Y are 25 and 18 respectively. The corresponding sum of squares of deviations from respective means is 136 and 150. The sum of the product of deviations from respective means is 123. Obtain the equation of the line of regression of X on Y.


In a partially destroyed laboratory record of an analysis of regression data, the following data are legible:

Variance of X = 9
Regression equations:
8x − 10y + 66 = 0
and 40x − 18y = 214.
Find on the basis of above information

  1. The mean values of X and Y.
  2. Correlation coefficient between X and Y.
  3. Standard deviation of Y.

The equations of two regression lines are
2x + 3y − 6 = 0
and 3x + 2y − 12 = 0 Find 

  1. Correlation coefficient
  2. `sigma_"X"/sigma_"Y"`

For a bivariate data: `bar x = 53, bar y = 28,` bYX = - 1.5 and bXY = - 0.2. Estimate Y when X = 50.


The equations of two regression lines are x − 4y = 5 and 16y − x = 64. Find means of X and Y. Also, find correlation coefficient between X and Y.


Two lines of regression are 10x + 3y − 62 = 0 and 6x + 5y − 50 = 0. Identify the regression of x on y. Hence find `bar x, bar y` and r.


The equations of two regression lines are 10x − 4y = 80 and 10y − 9x = − 40 Find:

  1. `bar x and bar y`
  2. bYX and bXY
  3. If var (Y) = 36, obtain var (X)
  4. r

Choose the correct alternative:

If byx < 0 and bxy < 0, then r is ______


Choose the correct alternative:

bxy and byx are ______


State whether the following statement is True or False: 

If bxy < 0 and byx < 0 then ‘r’ is > 0


The following data is not consistent: byx + bxy =1.3 and r = 0.75


State whether the following statement is True or False:

Corr(x, x) = 0


Corr(x, x) = 1


State whether the following statement is True or False:

Regression coefficient of x on y is the slope of regression line of x on y


The value of product moment correlation coefficient between x and x is ______


Arithmetic mean of positive values of regression coefficients is greater than or equal to ______


If n = 5, Σx = Σy = 20, Σx2 = Σy2 = 90 , Σxy = 76 Find Covariance (x,y) 


For a bivariate data:

`sum(x - overlinex)^2` = 1200, `sum(y - overliney)^2` = 300, `sum(x - overlinex)(y - overliney)` = – 250

Find: 

  1. byx
  2. bxy
  3. Correlation coefficient between x and y.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×