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Let 5x+3y=55 and 7x+y=45 be two lines of...

Let `5x+3y=55` and `7x+y=45` be two lines of regression

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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.

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

Knowledge Check

  • If 4x-5y+33=0 and 20x-9y=107 are two lines of regression, then what are the value of barx and bary respectively?

    A
    12 and 18
    B
    18 and 12
    C
    13 and 17
    D
    17 and 13
  • Let X and Y be two related variables. The two regression lines are given by x-y+1=0 and 2x-y+4=0 . The two regression lines pass through the point:

    A
    `(-4,-3)`
    B
    `(-6,-5)`
    C
    `(3,-2)`
    D
    `(-3,-2)`
  • Let X and Y be two related variables. The two regression lines are given by x-y+ 1=0 and 2x-y +4=0. The two regression lines pass through the point

    A
    (-4,-3)
    B
    (-6,-5)
    C
    (3,-2)
    D
    (-3,-2)
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    Explore conceptually related problems

    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 . Calculate the mean values of x and y .

    State True or False: y = 5 + 2.8x and x = 3 + 0.5y be the regression lines of y on x and x on y respectively ,then b_(yx) = - 0.5

    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.

    If y = 5 - 2.8x and x = 3 – 0.5y be the regression lines ,then the value of b_(yx) is