Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy.Subject12345678910111213141516Empathy Score 434635596466584744495668287127108Brain Activity-0.1290.3890.0190.3780.0160.4190.1090.5150.1490.7460.2450.570.2190.7160.3640.762Given that the equation for the regression line is y^=0.00709x−0.04187y^=0.00709x−0.04187, what is the residual (or deviation), yi−y^iyi−y^i, for subject 14?ANSWER: Speak ### Data Analysis of Empathy Scores and Brain Activity#### TableThe table displays data on 16 subjects, listing their empathy scores alongside their brain activity measurements.- **Subject Numbers:** 1 to 16- **Empathy Scores:** Range from 27 to 108 - Scores: 43, 46, 35, 59, 64, 66, 58, 57, 47, 44, 49, 56, 68, 28, 71, 27, 108- **Brain Activity Levels:** Range from -0.129 to 0.762 - Values: -0.129, 0.389, 0.019, 0.378, 0.016, 0.419, 0.109, 0.515, 0.149, 0.746, 0.245, 0.57, 0.219, 0.716, 0.364, 0.762#### GraphThe scatter plot represents the relationship between empathy scores (x-axis) and brain activity (y-axis) for the 16 subjects. Key features of the graph include:- **Axes:** - x-axis (horizontal) represents empathy scores, ranging approximately from 20 to 120. - y-axis (vertical) represents brain activity, ranging approximately from -0.4 to 1.2. - **Data Points:** - Each point marks a subject’s empathy score against their brain activity. - The plot shows a positive correlation, indicated by a blue regression line with a positive slope.- **Highlighted Subject:** - "Subject 14" is marked in red, placed above the line, suggesting this subject's brain activity is higher than average compared to empathy scores. This data provides insight into the association between empathy scores and brain activity, potentially reflecting the influence of emotional processes on neurological patterns.

From the given information, the regression equation is y=0.00709x−0.04187.

Answered: Empathy means being able to understand…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy.

Subject	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16
Empathy Score	43	46	35	59	64	66	58	47	44	49	56	68	28	71	27	108
Brain Activity	-0.129	0.389	0.019	0.378	0.016	0.419	0.109	0.515	0.149	0.746	0.245	0.57	0.219	0.716	0.364	0.762

Given that the equation for the regression line is y^=0.00709x−0.04187y^=0.00709x−0.04187, what is the residual (or deviation), yi−y^iyi−y^i, for subject 14?
ANSWER:

Speak