You may have heard that tall people get paid more (and not just in the NBA). We analyze this question using data from a nationally representative sample of white male workers. We specify the following multivariate regression:

=0+1+2+3+4+

whereWageis the $ hourly wage of men in the sample in 1996,heightis their adult height measured in 1996 and expressed in inches, and adolescent_heightis their height, measured when the individuals were teenagers and also expressed in inches. Finally, athletsis dummy variable capturing whether the individual participated in Athletics during high school, andclubnumsummarizes the number of high school clubs the individual participated in.

(a) The estimated regression coefficients, standard errors and unadjusted R-squared for the regression above are reported below. Interpret the coefficients, including the intercept. Do they have the expected sign? What do you think is going on with the two height variables in the model?