Embibe Experts Solutions for Chapter: Linear Regression, Exercise 1: Exercise

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

Explain the existence of two Regression Lines and list the assumptions of Linear regression.

Define regression analysis and  give an explanation for existence of two Regression Lines.

Gayathri has found a job in the city and now has to find an apartment in which to live. She surveys the monthly rent of several places and their distance from the city centre.

$\begin{array}{|lcccccc|}\hline \text{ Distance }\left[\mathrm{km}\right]& 3& 6& 10& 12& 15& 20\\ \begin{array}{l}\text{ Monthly rent }\\ \text{ [thousands of }\\ \mathrm{rupees}]\end{array}& 70& 60& 50& 40& 35& 15\\ \hline\end{array}$

Find the equation of your line of best fit.

Find the simple linear regression equation of $Y$ on $X$ if $n=7,\sum _{i=1}^n{x}_i=180,\sum _{i=1}^n{x}_i^2=2300$, $\sum _{i=1}^n{y}_i=200$ and $\sum _{i=1}^n{x}_i{y}_i=3450$.

Describe the demerits of scatter diagram.

Describe the merits and demerits of scatter diagram.

Define and explain the merits and demerits of scatter diagram.