What is the trend since 1975 in the difference in ages between husbands and wives at rst marriage? The data in the table below suggest a decrease. We want to examine the regression to see if this decrease is signicant. Year 1975 '76 '77 '78 '79 '80 '81 '82 '83 '84 '87 '88 '89 '90 '91 '92 '93 '94 '95 '96 2.2 2.3 2.4 2.2 2.2 2.1 2.0 2.2 2.4 2.3 '99 2000 |2001 2002 2003 1.6 1.7 | 1.8 1.6 1.8 Age difference 2.4 2.5 2.4 2.4 2.3 2.7 2.5 2.7 2.6 2.4 Let the xvariable be year and let the y-variable be age difference. Summary data for the data above is as follows: n = 29, )7 = 1989, s)( = 8.514693, y = 2.206897, sy = 0.328341, r = 0.81758 Question 1. Determine the intercept estimate be and the slope estimate b1 of, respectively, the intercept parameter [30 and the slope parameter [31 in the linear model y = [30 + [31x + 8 (Use 4 decimal places in your answers). slope (Use 4 decimal places in your answer) intercept (Use 4 decimal places in your answer) Question 2. Use the least squares line to estimate the age difference between husband and wife at first marriage in 2004. (Use 4 decimal places in your answer) (Use 4 decimal places in your answer) I: Questlon 3. Determine the estimate 5.; of the standard deviation (7 of the error component .9 (note that the sum of squares of residuals is 2 (y _ g)? = 1.001) i=0 (Use 4 decimal places in your answer)