Embibe Experts Solutions for Chapter: Linear Regression, Exercise 1: ICSE-2018

Find the line of regression of $y$ on $x$ from the following table.

Hence, estimate the value of $y$ when $x=6$.

If $\overline{x}=18,\overline{y}=100,{\sigma }_x=14,{\sigma }_y=20$, and correlation coefficient $r_{xy}=0·8,$ find the regression equation of $y$ on $x$.

The following results were obtained with respect to two variables $x$ and $y$:

$\sum x=15,\sum y=25,\sum xy=83,\sum x^2=55,\sum y^2=135\text{ and }n=5$

Find the regression coefficient $b_{xy}$

The following results were obtained with respect to two variables $x$ and $y$:

$\sum x=15,\sum y=25,\sum xy=83,\sum x^2=55,\sum y^2=135\text{ and }n=5$

Find the regression equation of $x$ on $y$.

Find the equation of the regression line of $y$ on $x$, if the observations $\left(x,y\right)$ are as follows:

$(1,4), (2,8), (3,2), (4,12), (5,10), (6,14), (7,16), (8,6), (9,18)$.

Also, find the estimated value of $y$ when $x=14$.

For the lines of regression $4x-2y=4$ and $2x-3y+6=0$, find the mean of $\text{'}x\text{'}$ and the mean of $\text{'}y\text{'}$.

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 the equations of two regression lines.

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 the expected value of $y$ when $x=2$.