Question

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 2.19 (a) wh酖is the equation of the least-squares repression line for predict rg brain ธะtvity from sociel d stress score? (Round your answers to four decimal pieces.] brein activity- socal distress+ Make a scatterplat with this line drewn on it Brain aclity ruin activity 2.3 -005 Social Social 15 2.0 25 3.0 3.5 distress score -0.05 0.00 ล.050.10 distress score Social dbtress soore Soclal distress score 0.10 0.05 0.05 0.00 0.05 10 actvity 1.5 2.0 2.5 3.0 3.5 activity ) On your plot, show the "up and over Ines that predict brain actinty for sooal distress score 1.8. Use the equation of the regression line to get the predicted brain scbvity level. Verity that it sgrees with your plot. Round your answer to four decimal placs.) what pencert cf the varat on in bran ectivity among these subjects is explained by the strsght-ine reatonano with socis/ distress score? (Round your answer to ธ whole number.)

Answer 1

S.No 3 1 Total 7 Mean sample size: here 0.0182 from above 6.5423 0.3963 slope- 0.06058 0.12501 intercept- hence line equation: 0.1250 0.0606 x

a)

Brain activity =0.0606*Social distress+(-0.1250)

for scatterplot: top left curve is correct

b)

predicted value =-0.1250+0.0606*1.8 = -0.0159

c)

% of variation =78 %