A partial Analysis of Variance Table for the simple linear regression analysis i

ID: 3222285 • Letter: A

Question

A partial Analysis of Variance Table for the simple linear regression analysis is given as:

a) What is the value for the Regression’s degree of freedom?

b) What is the value for the Residual’s degree of freedom?

c) What is the value for the Regression’s Sum of Squares?

d) What is the value for the Residual’s Sum of Squares?

e) What is the estimate value for the variance of random error?

f) What is the value for the F statistic?

g) What is the value for Coefficient of Determination?

h) What is the estimate value for the correlation coefficient between independent variable and dependent variable?

i) What is the conclusion?

d.f Source Regression Residual Total 58 S.S. 300 M.S

a) value for the Regression’s degree of freedom =1

b)value for the Residual’s degree of freedom=57

c) value for the Regression’s Sum of Squares =72

d) value for the Residual’s Sum of Squares=228

e)estimate value for the variance of random error=4

f) value for the F statistic =72/4=18

g) value for Coefficient of Determination =SSR/SST =72/300 =0.24

h) estimate value for the correlation coefficient between independent variable and dependent variable=(R2)1/2 =0.4899

i)for above P value =0.0000

as p value is nearly 0, we conclude that there exist a significant linear relationship

Source of Variation df SS MS F regression 1 72 72 18 residual 57 228 4 Total 58 300

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