Question

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 10 2.73 0.033 4 2.52 -0.017 11 2.73 0.064 5 2.17 -0.017 12 3.35 0.077 6 2.65 0.017 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 + Make a scatterplot with this line drawn on it. Social distress score Brain activity 3.5 0.101 3.0 0.05 2.5 2.0 0.00 1.5 -0.05 Social distress score o -0.05 0.00 0.05 0.10 Brain activity o 1.5 2.0 2.5 3.0 3.5 Social distress score Brain activity 3.5) 0.101 3.0 0.05 2.5 2.0 0.00 1.5 -0.05 Brain activity Social distress score o 1.5 2.0 2.5 3.0 3.5 o -0.05 0.00 0.05 0.10 (b) On vour plot, show the "up and over" lines that predict brain activity for social distress score 2.7. 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.) % eBook

Answer 1

A)

o 0.10 0.05 Brain activity o o 0.00 0 O -0.05 1.0 1.5 2.0 2.5 3.0 3.5 Social distress

from the above information The independent variable x= Social distress The dependent variable y = 'Brain Activity The least square regression line ý Bot Bix Bi nrXY-EXY nrX² - (EX) 13* 0.94083-3076*0.232 13 * 79.3608- (30-7612 -0.0596 Boost Bi ex = 0.232 - 0.0596* 30.26 13 13 Bu 01231 Brand activity = 0.0596 k social distress - 0.1231 Predict brain activity for social distrert Score 2.1 grain Activity = 0.0596*2.7-01231 Brain Activity 0.0378 REDMI NOTE 8 PRO AI QUAD CAMERA

coeffigent ot determination (R2 R? SSR SST Ily-y) Ely-112 00233 0.0301 R2 = 0.71 77. variation in bration activity among there sebleet explained by Stright relationship social Score. distress REDMI NOTE 8 PRO AI QUAD CAMERA