The following regression equation is estimated as a production function.

log $2=1\mathrm{.}37+0\mathrm{.}632$ log K $+0\mathrm{.}452$ log L

R$2=0\mathrm{.}98$

$(0257)$

$(0\mathrm{.}219)$

cov$($ba$,$ be$)=-0\mathrm{.}044.$ The sample size is $40.$ Test the following hypotheses at the $5\%$ level of significance.

$$bk $=$ bI$$

$$There are constant returns to scale.