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.)

Make a scatterplot with this line drawn on it.

(b) On your plot, show the "up and over" lines that predict brain activity for social distress score 1.7. Use the equation of the regression line to get the predicted brain activity level. Verify that it agrees with your plot. (Round your answer to four decimal places.)


(c) What percent of the variation in brain activity among these subjects is explained by the straight-line relationship with social distress score? (Round your answer to a whole number.)
%

     Social      Brain      Social      Brain Subject      distress      activity Subject      distress      activity 1 1.22 0.055 8 2.18 0.024 2 1.83 0.040 9 2.56 0.026 3 1.02 0.025 10 2.77 0.033 4 2.54 0.019 11 2.77 0.064 5 2.15 0.019 12 3.35 0.077 6 2.67 0.019 13 3.63 0.124 7 2.03 0.021

Explanation / Answer

correct Scatterplot is A)

as brain activity is in y-axis , and social stress is in x-axis

and with correct unit as it should be

b)

c) percent of the variation in brain activity among these subjects is explained by the straight-line relationship with social distress score is given by R2  =   0.752437

hence 75.24 % = 75 %

SUMMARY OUTPUT Regression Statistics Multiple R 0.867431 R Square Adjusted R Square 0.729931 Standard Error 0.026177 Observations 13 ANOVA df SS MS F Significance F Regression 1 0.022909 0.022909 33.43305 0.000122 Residual 11 0.007538 0.000685 Total 12 0.030447 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.12091 0.025046 -4.82751 0.000529 -0.17604 -0.06579 -0.17604 -0.06579 distress 0.058654 0.010144 5.782132 0.000122 0.036327 0.080981 0.036327 0.080981

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