An econometrician modeled annual inventories (in $ Billion) against annual sales ($ billions) using simple linear model:

Y = ln(Yt) =0+1ln(Xt),where Y = annual inventories, X = annual sales. Below is part of the output obtained using STATA.

ANOVA Table

Source

SS

df

Model

31.5296565

1

Residual

0.02131786

40

Total

31.5509744

41

Coefficients table

log_inventory

Coef.

Std. Err.

log_sales

0.99513

0.0040913

Constant

0.50741

0.0485611

What is the computed F-value for model?