HINT

1 inch = 2.54 centimeter

We conduct the empirical analysis to investigate the effects of height on earnings, using data for a random sample of US workers. The data include the workers' height (in inches) and annual earnings (in $1,000) together with gen and race/ethnicity. The following table show descriptive statistics of the two main variables. Descriptive Statistics min max annual earnings ($1000) height (inch) mean std. dev. 46.875 66.963 26.923 4.726 3.968 48.000 84.055 84.000 The following table reports several estimated regression functions where the dependent variable is annual earnings. The column 1 reports the estimated simple regression function of annual earnings on height using the whole sample. The column 2 and 3 report the estimated simple regression function of annual earnings on height using female-only sample and male-only sample, respectively. The column 4 reports the estimated regression function of annual earnings on height and the male dummy using the whole sample. The column 5 reports the estimated regression function of annual earnings on height, the male dummy, and the race/ethnicity dummies using the whole sample. Dependent Variable: Annual earnings (in $1,000) Explanatory Variable (1) (2) height (inch) 0.511 (0.050) (0.099) male race/ethnicity (base:non-Hispanic white) non-Hispanic black Hispanic other constant 12.651 (6.384) (3.387) R 0.011 0.003 R ) RMSE 26.777 26.801 n 17870 9974 sample whole female only Standard errors are in parentheses. ( ) ( (3) 1.307 (0.101) -43.130 (7.068) 0.021 26.671 7896 male only ) ( (4) 0.900 (-) -2.192 (0.564) (4.565) 0.012 ) 26.767 17870 whole ( (5) 0.720 (0.072 ) -1.428 (0.569) -12.960 (0.628) -10.491 (0.769) -1.872 (1.021) 1.640 (4.672) 0.042 ) 26.359 17870 whole 1. Compute R for each of the regressions and fill out spaces in the table