4. Calculation. (20 points) A dataset is taken from the US National Health Interview Survey for 1994. With the data, you will investigate the relationship between earnings and height. The dependent variable is annual labor earnings ($), the independent variable is height without shoes (in inches) The regression model is as following: (20 points) earnings S.E. = = -512.73 + 707.67height ( 50.48 ) ( ) T = ( ) (0.15) R = 0.0109 n = 17,870 (1) Fill in the missing data in brackets (calculate to three decimal places); (2) How to interpret the coefficient 707.67? (3) Does the intercept significant at 5% level? (4) Construct the confidence interval of height at 95% and 99%