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.
Social | Brain | Social | Brain | ||||||
Subject | distress | activity | Subject | distress | activity | ||||
1 | 1.24 | ?0.055 | 8 | 2.22 | 0.028 | ||||
2 | 1.89 | ?0.040 | 9 | 2.50 | 0.030 | ||||
3 | 1.08 | ?0.029 | 10 | 2.73 | 0.033 | ||||
4 | 2.48 | ?0.019 | 11 | 2.73 | 0.064 | ||||
5 | 2.13 | ?0.019 | 12 | 3.35 | 0.077 | ||||
6 | 2.63 | 0.019 | 13 | 3.69 | 0.124 | ||||
7 | 1.99 | 0.021 |
(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 + |
b) On your plot, show the "up and over" lines that predict brain
activity for social distress score 2.3. 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.)
(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.)
%
The table below gives data from a study that shows that social exclusion causes "real pain."...
1 The table below givęs 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. Social Brain Social Brain Subject distress activity Subject distress activity 1.22 -0.055 8 2.20 0.024 2 1.81 -0.040 9 2.60 0.026 3 1.10 -0.025...
The table belo g es data rom a stud¥ that shows that social excus on causes real pa T at is activity in the area at the brain that responds o phys cal pi goes up as d stress rom s cal exclusion goes up. T e scatter o ter tis data shows a moderatel streng linear riationship. The data are q ve be。 istrs actruity -0.0ss 0.028 2.52 1.06 -0.029 10 2.46 00 11 -0.017 12 0.017 13 277...
We often describe our emotional reaction to social rejection as "pain." Does social rejection cause activity in areas of the brain that are known to be activated by physical pain? If it does, we really do experience social and physical pain in similar ways. Psychologists first included and then deliberately excluded individuals from a social activity while they measured changes in brain activity. After each activity, the subjects filled out questionnaires that assessed how excluded they felt. Here are data...
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Question 3 (3 points) The table below shows the regression results when calculating the least squares line of regression relating variable x (predictor) to variable y (response): Intercept Coefficients 0.083 1.417 Standard Error 3.56 0.63 t Star 0.02 2.25 P-value 0.9822 0.0745 Does variable x share a statistically significant linear relationship with variable y at the 5% significance level? Yes, since the p-value of 0.0745 is greater than 0.05. Yes, since the slope coefficient of 1.417 is less than the...