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Empathy means being able to understand what others feel. To see how the brain ex

ID: 2907030 • Letter: E

Question

Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their mid-twenties 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.

Given that the equation for the regression line is y^=0.00682x?0.02683, what is the residual for subject 2? ANSWER:

Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Empathy Score 37 48 44 55 56 59 65 46 46 46 58 63 27 72 30 118 Brain Activity -0.109 0.391 0.016 0.364 0.021 0.409 0.106 0.51 0.143 0.747 0.258 0.561 0.209 0.723 0.364 0.789
sub ject-2 011 126 20

Explanation / Answer

Here for subject 2, we have X = 48. So, the predicted Y = 0.00682 * 48 ? 0.02683 = 0.300526. Now, the actual Y was 0.391. So, the residual for subject 2 is = (actual Y - predicted Y) = (0.391 - 0.300526) = 0.090474 [Answer].

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