Page 95 - Basic Statistics

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= 0.3840

RSS(Res) = 0.3840 /12 – 2
= 0.0384

F hit = RSS(Reg) / RSS(Res)

= 0.8854 / 0.0384 = 23.0559

In the F distribution table obtained: F(0.05;1;10)-tabel = 4.96

Table 5.3 The analysis of variance

Source of Sum of Degrees Mean
variation squares of Squares F
(SS ) Freedom ( MS )

Regression 0.8854 1 0.8854

Residual 0.3840 10 0.0384 F =23.0559

Total 1.2694 11

Test results: F > F(;1;n-2), i.e. 23.056 > 4.96, then H 0 is rejected at the 5 percent

significance level. This means that not all of the value of the parameter

coefficients equal to zero. It was concluded that

ˆ
“ the regression equation Y = -0.7128 + 0.2205 Xj is a significant relationship.”
j

c. The coefficient of determination:

2
R = SS(Reg) / SS(Total)

= 0.8854 / 1.2694
= 0.6975

~~* CHAPTER 5 LINEAR REGRESSION MODEL *~~