Question

Complete the table and blanks below: (12 points) х (x-4) (x-4)² 23 13 .09 1.3 1.609 .-1.7 -2.89 -4.7 -22.09 -2.89 25 2.3 5.29 27 4.3 T 18.49 159/7 = 22.7 =-2. 31 Mean ( u )= 22.7 (x- u)? = -2.31 18 21 -1.7 -2.31=-33 V.33 standard deviation (O )=- Variance (O²) = 733 11) Calculate: correlation coefficient and interpre counts so place a value as needed (10 points). Y X-7 Y-7 (X - ) (Y-7) (X

Answer 1

$\mathbf{SOLUTION}$

$\mathbf{x}$	$\left (\mathbf{x-\mu} \right )$	$\left (\mathbf{x-\mu} \right )^{2}$
23	0.29	0.0841
24	1.29	1.6641
21	-1.71	2.9241
18	-4.71	22.1841
21	-1.71	2.9241
25	2.29	5.2441
27	4.29	18.4041
$\mathbf{\sum x=159}$		$\sum \left (\mathbf{x-\mu} \right )^{2}=53.4287$

$\mathbf{Mean\;(\mu)=\frac{\sum x}{n}=\frac{159 }{7}={\color{Red} 22.71} }$

$\mathbf{Variance\;(\sigma^{2})=\frac{\sum \left (x-\bar x \right )^{2}}{n}=\frac{53.4287 }{7}={\color{Red} 7.63} }$

$\mathbf{Standard\;deviation\;(\sigma)=\sqrt{\frac{\sum \left (x-\bar x \right )^{2}}{n}}=\sqrt{\frac{53.4287 }{7}}={\color{Red} 2.76} }$