Empathy means being able to understand what others feel To s

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. Given that the equation for the regression line is y = 0.00755x - 0.06959[what is the residual for subject 10? (Keep at least 3 digits after the decimal point.)

Solution

Sol:

Reg eq is

brain activity=0.00755(empath score)-0.06959

For sub 10

empath score=52 substitute in the above reh eq

brain activity=0.00755(52)-0.06959

=0.32301

predicted value=0.32301

observed value of y for sub 10 is 0.742

The difference between the observed value of the dependent variable (y) and the predicted value () is called the residual (e).

Each data point has one residual

.Residual = Observed value - Predicted value.

e = y -

=0.742-0.32301

=0.41899

e=0.419(rounding to 3 decimals)

residual for subject 10 is 0.419