Regression

The given graph is an example of linear or non-linear regression model

Is exponential regression non-linear? 

What is meant by non-linear regression.

Compare with the general equation of multiple linear regression and find regression coefficients $a,b_1,b_2$ and $b_3$ for the equation $Y=5+10X_1+15X_2+20X_3+e$

Write the general equation of multiple linear regression with two independent variables $X_1,X_2$ having $a,b_1,b_2$ as the regression coefficient.

Write the general equation of multiple linear regression, suppose that price of a product $\left(Y\right)$ depends mainly upon three promotional activities such as discount $\left(X_1\right)$, instalment scheme $\left(X_2\right)$, and free installation $\left(X_3\right)$. If the price of the product has linear relationship with each promotional activity, then the relationship among $Y$ and $X_1,X_2$ and $X_3$ having $a,b_1,b_2,b_3$ as the regression coefficients.

Write the general form of multiple linear regression.

Difference between linear and non-linear regression.

What is the difference between simple linear and multiple linear regressions to state the general form of multiple regression.

For regression equation of $Y$ on $X$ is $Y=10+0.3X+e$, then find error $e$ for the observed value of $X=10$ and $Y=20$.

What is regression equation of $Y$ on $X$.

What is regression equation of $X$ on $Y$.

For regression equation $Y=a+bX+e$, $b$ is

For regression equation $X=a+bY+e$, $b$ is

The data with respect to two variables $x$ and $y$ are given below:

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

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

Construct the simple linear regression equation of $Y$ on $X$ by using normal equations if the data given is $n=7,\sum _{i=1}^n{x}_i=150,\sum _{i=1}^n{x}_i^2=2150$, $\sum _{i=1}^n{y}_i=212$ and $\sum _{i=1}^n{x}_i{y}_i=3386$.

Construct the simple linear regression equation of $Y$ on $X$ by using normal equations if the data given is $n=7,\sum _{i=1}^n{x}_i=180,\sum _{i=1}^n{x}_i^2=2300$, $\sum _{i=1}^n{y}_i=200$ and $\sum _{i=1}^n{x}_i{y}_i=3450$.

Given $\overline{x}=80,$$\overline{y}=90,$$b_{xy}=1.36,$$b_{yx}=0.61$ when $y = 50$, Find the most probable value of $x$.

If $b_{XY}=0.5$ and $a=8$, then the regression equation of $X$ on $Y$ is

If $b_{XY}=0.8$ and $a=8$, then the regression equation of $X$ on $Y$ is