Home
Class 12
MATHS
The correlation coefficient between x an...

The correlation coefficient between x and y is 0.6. If the variance of x is 225, th variance of y is 400, mean of x is 10 and mean of y is 20, find the equation of two regression lines.

Text Solution

Verified by Experts

The correct Answer is:
Regression equation of y on x ; `y = (4)/(5)x = 12`, Regression equation x on y : `x = (9)/(20) y + 1`
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER -1

    ICSE|Exercise Section - B|10 Videos

  • MODEL TEST PAPER - 8

    ICSE|Exercise Section - C |6 Videos

  • MODEL TEST PAPER -19

    ICSE|Exercise SECTION A|1 Videos

Similar Questions

Explore conceptually related problems

The correlation coefficient between x and y is 0.6. If the variance of x is 225 , the variance of y is 400 , mean of x is 10 and mean of y is 20 , find (i) the equations of two regression lines. (ii) the expected value of y when x = 2

If byx=-(1)/(4) , mean of x = 3 and mean of y = 3, then regression equation y on x is

The mean of 5 observations 1,2,6,x and y is 4.4 and their variance is 8.24 , then x+y is

If coefficient of correlation is -0.6, standard deviation of x is 5 and variance of y is 16, then what is the co-variance of x and y?

The regression equation of x on y is 9x-2y-38=0 . If mean of x series is 6, then mean of y series is

The coefficient of correlation between the values denoted by x and y is 0.5. The standard deviation of x is 5 and that of y is 4. Find the angle between the lnes of regression.

You are given the following data: Correlation coefficient between x and y=0.66. Find the equations of the lines of regression.

The two lines of regression are x+ 2y- 5= 0 and 2x + 3y - 8=0 and the variance of x is 12. Find the variance of y and the coefficient of correlation.

The two lines of of regressions are x+2y-5=0 and 2x+3y-8=0 and the variance of x is 12. Find the variance of y and the coefficient of correlation.

Two lines of regressions are represented by 4x + 10y = 9 and 6x + 3y = 4 . Find the line of regression y on x.