Question

Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Regression 5 4,001.11 800.22 14.72 Residual Error 48 2,610.04 54.38 Total 53 6,611.16 a-1. Determine the standard error of estimate. (Round your answer to 2 decimal places.) a-2. About 95% of the residuals will be between what two values? (Round your answers to 2 decimal places.) b-1. Determine the coefficient of multiple determination. (Round your answer to 3 decimal places.) b-2. Determine the percentage variation for the independent variables. (Round your answer to 1 decimal place.) Determine the coefficient of multiple determination, adjusted for the degrees of freedom. (Round your answer to 3 decimal places.) rev: 12_20_2017_QC_CS-112750, 04_17_2018_QC_CS-124791 Next

Answer 1

Analysis of Variance

Source DF SS MS F

Regression 5 4,001.11 800.22 14.72

Residual Error 48 2,610.04 54.38

Total 53 6,611.16

(a1) standard error of estimate=sqrt(MSE)=sqrt(54.38)=7.3743

(a2) residual=obeseved-estimated,

for this we need each of the observation. however range of residual is 0 and 1.

(b1)coefficeint of multiple determinaiton=R²=SS(regression)/SS(total)=4001.11/6611.16=0.61

(b2) 61% variation for the independent variable

(b3) coefficient of multiple determination, adjusted for the degrees of freedom.=R_A²=

=1-(1-R2)(n-1)/(n-k-1)=1-(1-0.61)*(54-1)/(54-6-1)=0.56