Below, we find data on population size (P), labor force size (L), and worker output (X), corresponding to 10 fictional countries. First, calculate the worker to non-workerratio (WR) for each country. Recall, ???????? =?????????????. Second, calculate economic output (O) for each country. Recall, our toy model of output is defined as: ???? = ???? ????.Third, calculate output in per capita terms. Recall, output per capita is defined as: ????????=???????? ????. Fourth, calculate the correlation coefficient (????????????) between output percapita (????????) and worker to non-worker ratio (WR). Assume ????????is the dependent variable (y) and WR is the independent variable (x). Recall, the correlation coefficient isdefined as:

16. Below, we nd data on population size {P}, labour force size (L). and worlner output {X}, corresponding to II] ctional countries. First, calculate the miner to non-worker ratio (WE) for each cotu'ilry. Recall1 WE = i. Second1 calculate economic output (CI) for each ootu'ttry. Recall1 our toy model ofout'put is dened as: G = L x 1'. Third. calculate oulput in per capita terms. Recall, oulput per capita is dened as: E = E X X. Fourth, calculatethe correlation coeicient (a?) between output per cap-ila G) and worker to non-worker ratio {WK}. Assume g is the dependent variable {y} and \"IR is the independent variable (1:). Recall, the correlation coefcient is dened as: r _ "2.13M _le Z)" I}. _ izx _(le )2 5' \\J'lzyl2 _lzy1)1 Sample Population Labor Force Worker Worker to Non- Output Output per Step 5: 1: yr Step 80: 112 Step 3.6: yr} Size {P} {L) Output (X) Worker Ratio WP.) {0] cqpfra (WP) Country I 9 2 Country 2 13 3 Country 3 15 It] 4 Country 4 1 I 6 3 Country 5 13 I4 4 Country 6 22 3 2 Country 7 23 17 4 Country 3 '1' 4 3 Country 9 25 It] 2 Country 10 2|] IS 4 Stephn= Step 2: Ex: 5:433: 2y: 3:136:21in Step 9: Ex? Step1}: 2y!"7 Step 4: 21:2)\" Step 7: nExiy: Step 10: RE Krj Step 13: n2 yr? Step H': {Ext}; sup n.- (my