Question

Problem 11. (1 point) 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 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Empathy Score 45 50 56 60 68 52 49 52 18 71 25 116 Brain Activity -0.113 0.38 0.009 0.361 0.01 0.424 0.104 0.515 0.15 0.736 0.245 0.577 0.223 0.73 0.36 0.771 1 43 50 57 77 1.2 10.6 20 120 subject to Given that the equation for the regression line is ý = 0.00635x -0.00999, what is the residual for subject 1? ANSWER:

Answer 1

For subject 11, the empathy score is 57, therefore the predicted value here is computed as:
y = 0.00635x - 0.00999 = 0.00635*57 - 0.00999 = 0.35196

Also we are given the observed value here as:
y(obs) = 0.245

Therefore the residual here is computed as:

r = Observed Value - predicted value

r = 0.245 - 0.35196 = -0.10696

Therefore -0.10696 is the required residual here.