Home
Class 12
MATHS
The equations of the two lines of regres...

The equations of the two lines of regression are 3x+y=5 and 2x+3y=6. Find
(a) The regression line of Y and X.
(b) mean values of x and y
(c) correlation coefficient x and y
(d) the angle between the regression lines.

Text Solution

Verified by Experts

The correct Answer is:
(a) 2x+3y=6
(b) `vecx=9/7, vecv=8/7`
(c) `e=-sqrt2/3`
(d) `theta=tan^(-1)""7/9`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STATISTICS

    FIITJEE|Exercise Assignment Problems (Subjective)|14 Videos
  • STATISTICS

    FIITJEE|Exercise Assignment Problems (Objective) Level -I|20 Videos
  • STATISTICS

    FIITJEE|Exercise Exercise 2|4 Videos
  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Exercise 3|8 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

The equations of the two lines of regression are 6x + y− 31 = 0 and 3x + 2y− 26=0 . Identify the regression lines

The equations of the two lines of regression are 6x + y− 31 = 0 and 3x + 2y− 26=0 . Calculate the mean values of x and y .

Knowledge Check

  • If the lines of regression are 3x+12y=19 and 3y+9x=46 then r will be

    A
    `0.289`
    B
    `-0.289`
    C
    `0.209`
    D
    `0.409`
  • If the two lines of regression are 3x+y=15 and x+4y=3 , then value of x when y=3 is

    A
    `-4`
    B
    `-8`
    C
    4
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    The equations of two lines of regression are 3x+2y-26=0 and 6x +y- 31=0 . find variance of x if variance of y is 36.

    The equations of the two lines of regression are 2x + 3y− 6 = 0 and 5x + 7y− 12 = 0 a. Identify the regression lines. b. Find the value of the correlation coefficient (Given sqrt(0.933) = 0.9667 .)

    The equations of the two lines of regression are 6x + y− 31 = 0 and 3x + 2y− 26=0 . Find the value of the correlation coefficient.

    In case of perfect correlation between x and y, the number of regression lines is ……………..

    If the two means of regression are 4x+3y+7=0 and 3x+4y+8=0, then find the means of x and y.

    b_(yx) is the ….. of regression line of y on x