Duration: 120 minutes Question 1 These data were collected on 200 high school students and are scores on various tests, including science, math, reading and social studies (socst). The variable female is a binary variable coded 1 if the student was female and 0 if male. The dependent variable is science test score. It is hypothesized that science test scores are dependent on math, socst, and reading scores as well as on the gender of the students. Source 55 df MS Number of obs = 280 F( 4, 195) = 46.69 Model 9543.72074 4 2385.93019 Prob > F 0.0908 Residual 9963.77926 195 51.0963039 R-squared 8.4892 -+- Adj R-squared = 8.4788 Total | 19507.5 199 98.0276382 Root HSE 7.1482 science Coef. Std. Err. t P>Itl (95% Conf. Interval] math . 3893102 . 0741243 5.25 0.000 . 243122 5354983 female -2.009765 1.022717 -1.97 0.051 -4. 026772 . 0072428 socst . 0498443 . 062232 0.80 0.424 -. 0728899 . 1725784 read - 3352998 - 0727788 4.61 0.090 . 1917651 . 4788345 Cons 12.32529 3.193557 3.86 0.000 6.026943 18. 62364 a) Please interpret how each variable affects science test scores. b) Which variables are significant? What is the level of significance? c) Please interpret the R-squared result