The following Cobb-Douglas production function: Q=BK Le fitted to the data for n firms of the hotel industry yields the following OLS results: log = -13.34158 +2.323 log K, +0.2943 log L R = 0.927980 Prob (F-value) = 0.000 -1.314425 0.241080 0.215257 -0.043353 0.012435 R = 0.938268 F= 91.19470 var(B) [8.179094 Q=10 K=20 Z=15 where Q stands for output, Kis capital and Lis labour and log is the natural logarithm. (1) Determine the number of firms involved in this study. (ii) Obtain the estimate of the constant term in the non-linear version of the Cobb-Douglas production function. (iii) Determine the individual and joint significance of the variables? (iv) State in words what the hypothesis B = B, means. Test it. (v) Test whether the industry is characterised by increasing returns to scale. (vi) Find the marginal product of capital, MP. Interpret your result. (vii) The coefficient of logL is small compared to that of logK. If logL is dropped, point out the consequences in terms of R and R.