We often describe our emotional reaction to social rejection as 'pain'. A study asked whether social rejection causes activity in areas of the brain that are known to be activated by physical pain. The following data was 3. collected: Subject Social 1 3. 4 6. 7 9. 10 11 12 13 1.26 1.85 1.10 2.50 2.17 2.67 2.01 2.18 2.58 2.75 2.75 3.33 3.65 Distress Brain -0.055 -0.040 -0.026 -0.017 -0.017 0.017 0.021 0.025 0.027 0.033 0.064 0.077 0.124 Activity a) Which variable is the explanatory variable? b) Use R to find the mean and standard deviation of the x and y variables. c) Use R to compute the Pearson's correlation coefficient. d) Use the information from b and c to compute an approximation to the slope of the regression line. e) Use the information from b and d to find the equation of the regression line. f) How much of the variation in the brain activity can be explained by the social distress?
We often describe our emotional reaction to social rejection as 'pain'. A study asked whether social rejection causes activity in areas of the brain that are known to be activated by physical pain. The following data was 3. collected: Subject Social 1 3. 4 6. 7 9. 10 11 12 13 1.26 1.85 1.10 2.50 2.17 2.67 2.01 2.18 2.58 2.75 2.75 3.33 3.65 Distress Brain -0.055 -0.040 -0.026 -0.017 -0.017 0.017 0.021 0.025 0.027 0.033 0.064 0.077 0.124 Activity a) Which variable is the explanatory variable? b) Use R to find the mean and standard deviation of the x and y variables. c) Use R to compute the Pearson's correlation coefficient. d) Use the information from b and c to compute an approximation to the slope of the regression line. e) Use the information from b and d to find the equation of the regression line. f) How much of the variation in the brain activity can be explained by the social distress?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:We often describe our emotional reaction to social rejection as 'pain'. A study asked whether social rejection
causes activity in areas of the brain that are known to be activated by physical pain. The following data was
3.
collected:
Subject
1
3
4
7
8
10
11
12
13
Social
1.26
1.85
1.10
2.50
2.17
2.67
2.01
2.18
2.58
2.75
2.75
3.33
3.65
Distress
Brain
-0.055 -0.040 -0.026 -0.017 -0.017 0.017 0.021
0.025 0.027
0.033
0.077 0.124
0.064
Activity
a)
Which variable is the explanatory variable?
b)
Use R to find the mean and standard deviation of the x and y variables.
c)
Use R to compute the Pearson's correlation coefficient.
d)
Use the information from b and c to compute an approximation to the slope of the regression line.
e)
Use the information fromb and d to find the equation of the regression line.
f)
How much of the variation in the brain activity can be explained by the social distress?
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