I need help solving for these questions

a) Using information in Table 1 (correlations, mean, and SD), compute slopes for education and occupational prestige and the intercept. Write out the multiple regression equation for these data. Show your work for how you computed the intercept and the slopes. Compute the slope for education (2 points) . Compute the slope for occupational prestige (2 points) . Compute the intercept (2 points) . Write down multiple regression equation (2 points) . Interpret the Intercept (2 points) Interpret the slope for education (2 points) . Interpret the slope for occupational prestige (2 points)Problem SET 1 (25 points): Using data from GSS 1998 (sample size = 1,841), A researcher is examining how much education and occupational prestige affect individual income. Education is measured in years (range: 0 through 20) and occupational prestige from 17 to 86. Household income is measured in thousand-dollar increments (1 indicates 1,000 dollars) and ranges from 0.75 (=$750) to 125 (=$125,000). She generates the following statistics (Table 1): Table 1: correlation, mean, and standard deviation (SD). Education Occupational Individual Mean SD prestige income Education 1.00 13.8 2.7 Occupational .51 1.00 44.6 13.6 prestige Individual income 36 38 1.00 29.9 24.2 She also implemented a regression model using STATA. In the STATA regression readout below, estimated slopes of education (educ) and occupational prestige (prestg80) and for the intercept (cons) have been removed. reg rincom98 educ prestg80, beta Source SS df MS Number of obs 1, 841 F (2, 1838) 207.55 Model 198386. 211 2 99193. 1057 Prob > F 0.0000 Residual 878439 . 038 1, 838 477.932012 R-squared 0 . 1842 Adj R-squared 0. 1833 Total 1076825 . 25 1, 840 585. 231114 Root MSE 21.862 rincom98 Coef. Std. Err. t Beta educ 2. 056278 2225338 9.24 0.000 2258299 prestg80 . 4776794 . 0435495 10.97 0.006 .2680705 cons -19. 6947 2. 714962 -7.25 0.000