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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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