Question

Consider the set of bivariate data shown in the table.

$x$	$0$	$1$	$2$	$3$	$4$	$5$	$6$
$y$	$5$	$12.5$	$20$	$23.2$	$23.4$	$24.1$	$24.8$

Compute ${\left(\sum _{}y\right)}^2$

Answer 1

Determining the value of ${\left(\sum _{}y\right)}^2$

Submission of $y$, means adding all the values of $y$.

$$\begin{gathered} \underset{}{\therefore \sum }y=5+12.5+20+23.2+23.4+24.1+24.8 \\ =133 \end{gathered}$$

Squaring $\sum _{}y$ we get,

${\left(\sum _{}y\right)}^2=17689$

Hence, the value of ${\left(\sum _{}y\right)}^2$ is $17689$