The table below gives data from a study that shows that social exclusion causes

Question

The table below gives data from a study that shows that social exclusion causes "real pain." That is, activity in the area of the brain that responds to physical pain goes up as distress from social exclusion goes up. The scatterplot for this data shows a moderately strong linear relationship. The data are given below.

(a) What is the equation of the least-squares regression line for predicting brain activity from social distress score? (Round your answers to four decimal places.)

     Social      Brain      Social      Brain Subject      distress      activity Subject      distress      activity 1 1.28 0.055   8 2.22 0.023 2 1.81 0.040   9 2.60 0.025 3 1.06 0.024   10 2.73 0.033 4 2.5 0.015   11 2.73 0.064 5 2.19 0.015   12 3.37 0.077 6 2.65 0.015   13 3.61 0.124 7 2.01 0.021  

Explanation / Answer

> y=c(-0.055,-0.040,-0.024,-0.015,-0.015,0.015,0.021,0.023,0.025,0.033,0.064,0.077,0.124)
> x=c(1.28,1.81,1.06,2.5,2.19,2.65,2.01,2.22,2.60,2.73,2.73,3.37,3.61)
> fit=lm(y~x)
> fit

Call:
lm(formula = y ~ x)

Coefficients:
(Intercept) x
-0.12376 0.05988

Least square equation is,

Brain activity = 0.05988 social distress -0.12376

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