Chapter 1.4, Problem 29E

(a)

To determine

To calculate: The regression line by taking x be the number of natural science doctorates and y be the number of engineering doctorates and also plot the provided points along with the obtained regression line using the technology when the table representing the number of PhD graduates in Mexico every year is as follows:

	Natural Sciences	Engineering	Social Science	Education
$1990$	$70$	$10$	$60$	$30$
$1995$	$130$	$40$	$110$	$40$
$2000$	$330$	$130$	$280$	$130$
$2005$	$490$	$370$	$460$	$210$
$2010$	$590$	$550$	$830$	$520$
$2012$	$690$	$590$	$1,000$	$900$

(b)

To determine

The interpretation about the slope of the regression line which is calculated in part (a).

(c)

To determine

To calculate: The coefficient of correlation using the technology and also determine whether the value of correlation coefficient gives a strong relation between x and y, if x be the number of natural science doctorates and y be the number of engineering doctorates. The table representing the number of PhD graduates in Mexico every year is as follows:

	Natural Sciences	Engineering	Social Science	Education
$1990$	$70$	$10$	$60$	$30$
$1995$	$130$	$40$	$110$	$40$
$2000$	$330$	$130$	$280$	$130$
$2005$	$490$	$370$	$460$	$210$
$2010$	$590$	$550$	$830$	$520$
$2012$	$690$	$590$	$1,000$	$900$

(d)

To determine

Whether the graph shows linear relation between x and y which is calculated in part (a).