Two regression lines are represented by $2x+3y-10=0$ and $4x+y-5=0$. Find the line of regression of $y$ on $x$.

Find the coefficient of correlation from the regression lines $x-2y+3=0$ and $4x-5y+1=0$.

Find the coefficient of correlation from the given regression lines. (Up to three places of decimal).

$3x+4y-7=0, 4x+y-5=0$

The following table shows the mean and standard deviation of the marks of Mathematics and Physics scored by the students of a school:

The correlation coefficient between the given marks is $0.86.$ Estimate the likely marks in Physics if the marks in Mathematics are $92.$

From the given data

and coefficient correlation $\frac{2}{3}$. Find regression coefficients $b_{xy}$ and $b_{yx}$.

From the given data

and coefficient correlation $\frac{2}{3}$. Find regression line of $x$ on $y$.

From the given data

and coefficient correlation $\frac{2}{3}$. Find most likely value of $x$ when $y=14.$ (Answer upto two places of decimal)