.A memory test was given to a group of ten people. Each of them was shown images of $20$ different objects, then after $5$ minutes they were asked to name the objects they remembered. The times they took to remember those names (in minutes) were recorded. The results are shown in the table.

$\begin{array}{|lllllllllll|}\hline \begin{array}{l}\text{ Objects }\\ \text{ remembered }\left(x\right)\end{array}& 12& 16& 9& 10& 14& 18& 12& 15& 17& 15\\ \text{ Time taken }\left(y\right)& 1.9& 2.2& 1.7& 2& 2& 2.5& 2.3& 2.2& 2.4& 2.4\\ \hline\end{array}$

Write down the equation of the regression line of $y$ on $x$.

Find the regression coefficients $b_{yx}, b_{xy}$ and correlation coefficient $\text{'}r\text{'}$ for the following data:

$(2,8), (6,8), (4,5), (7,6), (5,2)$

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 $b_{xy}$

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 $x=14$.

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

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

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 $y$.

From the given data

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

Find the line of regression of $y$ on $x$ for the following data :

Find the equation of the regression line of $y$ on $x$, if the observations $(x_i,y_i)$ are :

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

Also draw the regression line of $y$ on $x$.