Chapter 3.1, Problem 14E

To determine

To discuss: about the given data

Answer to Problem 14E

The overall pattern moves from lower left to upper right.

The form of the relationship is linear.

The relationship is moderately strong

Explanation of Solution

Given:

Subject	Social distress	Brain activity
$1$	$1.26$	$-0.055$
$2$	$1.85$	$-0.040$
$3$	$1.10$	$-0.026$
$4$	$2.50$	$-0.017$
$5$	$2.17$	$-0.017$
$6$	$2.67$	$0.017$
$7$	$2.01$	$0.021$
$8$	$2.18$	$0.025$
$9$	$2.58$	$0.027$
$10$	$2.75$	$0.033$
$11$	$2.75$	$0.064$
$12$	$3.33$	$0.077$
$13$	$3.65$	$0.124$

Calculation:

Using Excel, the scatter plot for the given data is shown below:

  

From the scatter plot, the overall pattern moves from lower left to upper right. That is, higher social distress tends to have higher brain activity. We call this a positive association between the two variables. The form of the relationship is linear. That is, the overall pattern follows a straight line from lower left to upper right. The relationship is moderately strong because the points don’t deviate greatly from line.

Social rejection causes activity in areas of the brain that are known to be activated by physical pain.