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Formula

N = 16

N = 32

N = 128

1

$\text{ssr}={\widehat{\beta }}^{\prime }{X}^{\prime }y-\frac{{\left({\displaystyle {\sum }_{i=1}^n{y}_i}\right)}^2}{n}$

70.604*

195.288

195.288

$\text{SSR}={\displaystyle {\sum }_{i=1}^n}{\left(y_i-\overline{y}\right)}^2$

195.169

195.288

195.288

2

$\text{sse}=y^{\prime }y-{\widehat{\beta }}^{\prime }{X}^{\prime }y$

136.407*

11.723

11.723

$\text{SSE}={\displaystyle {\sum }_{i=1}^n}{\left(y_i-{\widehat{y}}_i\right)}^2$

11.841

11.723

11.723

3

$f_0=\frac{\text{ssr}/k}{\text{sse}/\left(n-k-1\right)}$

2.760*

88.856

88.856

$F_0=\frac{\text{SSR}/k}{\text{SSE}/\left(n-k-1\right)}$

87.904

88.856

88.856

4

$r^2=\frac{\text{ssr}}{\text{ssr}+\text{sse}}$

0.58*

0.94

0.94

$R^2=\frac{\text{SSR}}{\text{SSR}+\text{SSE}}$

0.94

0.94

0.94