Question

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 42 | 47 | 45 51 65 64 67 | 47 | 49 | 52 69 69 21 63 33 111 Brain Activity -0.124 0.391 0.0090.363 0.017 0.42 0.094 0.515 0.149 0.735 0.253 0.569 0.221 0.726 0.363 0.787 subject 13 ----- ---- 11----- 10,0 -2A Given that the equation for the regression line is ĝ = 0.00592x + 0.01168, what is the residual for subject 13? (Keep at least 3 digits after the decimal point.) ANSWER:

Answer 1

We have given regression equation is,

y = 0.00592.1 +0.01168

For subject 13 We have, (21,0.221)

Substitute x=21 in above regression equation,

=> y = 0.00592(21) + 0.01168

=0.136

Therefore,

Residual = y -

=0.221-0.136

=0.085

Residual for subject 13 is = 0.085