The table below gives data from a study that shows that social exclusion causes
ID: 3261335 • Letter: T
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.) brain activity = social distress + On your plot, show the "up and over" lines that predict brain activity for social distress score 3. 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.) 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.)Explanation / Answer
a] brain activity = 0.0598 social distress - 0.1230
b] predicted brain activity = 0.0564 when social distress = 3
c] R^2 = 77.0%
Choose Stat > Regression > Regression.
In Response, enter Brain activity.
In Predictors, enter Social distress.
Click OK.
MINITAB OUTPUT is below
MTB > Regress 'activity' 1 'distress';
SUBC> Constant;
SUBC> Brief 1.
Regression Analysis: activity versus distress
The regression equation is
activity = - 0.123 + 0.0598 distress
Predictor Coef SE Coef T P
Constant -0.12330 0.02426 -5.08 0.000
distress 0.059757 0.009834 6.08 0.000
S = 0.0248780 R-Sq = 77.0% R-Sq(adj) = 75.0%
Analysis of Variance
Source DF SS MS F P
Regression 1 0.022854 0.022854 36.93 0.000
Residual Error 11 0.006808 0.000619
Total 12 0.029662
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