Chapter 3.2, Problem 25AYU

To determine

To calculate: Reason for correlation coefficient of $0$ imply.

Age of Mother $x$	Incidence of down syndrome $y$
$33$	$2.4$
$34$	$3.1$
$35$	$4$
$36$	$5$
$37$	$6.7$
$38$	$8.3$
$39$	$10$
$40$	$13.3$
$41$	$16.7$
$42$	$22.2$
$43$	$28.6$
$44$	$33.3$
$45$	$50$

Answer to Problem 25AYU

There is no correlation for the given data.

Explanation of Solution

Given information:

Age of Mother $x$	Incidence of down syndrome $y$
$33$	$2.4$
$34$	$3.1$
$35$	$4$
$36$	$5$
$37$	$6.7$
$38$	$8.3$
$39$	$10$
$40$	$13.3$
$41$	$16.7$
$42$	$22.2$
$43$	$28.6$
$44$	$33.3$
$45$	$50$

When a correlation coefficient equals to $0$ , that means the data do not have any correlation. The data are very scattered and they do not form any relation.