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?

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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?
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Subject
Empathy Score
Brain Activity
-20
3
4
5
6
7 8
9
15 16
10 11 12 13 14
49 56 68 28 71 27 108
35 59 64
66 58 47 44
-0.1290.389 0.019 0.378 0.0160.419 0.109 0.515 0.1490.746 0.245 0.57 0.219 0.716 0.364 0.762
1
2
43 46
1.2
0.1-
-0.4
10,0
subject 14
120
Transcribed Image Text:Subject Empathy Score Brain Activity -20 3 4 5 6 7 8 9 15 16 10 11 12 13 14 49 56 68 28 71 27 108 35 59 64 66 58 47 44 -0.1290.389 0.019 0.378 0.0160.419 0.109 0.515 0.1490.746 0.245 0.57 0.219 0.716 0.364 0.762 1 2 43 46 1.2 0.1- -0.4 10,0 subject 14 120
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