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Q30. Q17.8 (6th Ed"). Fit a second-order polynomial model to the data in the table below, where y: cost per gigabyte (column 2) and x: year (column 3) and estimate the cost per gigabyte for the year 2008. Year y: Cost x: Year x2 Log y 1995 261.84 1 1 2.4180 1996 137.94 IN 4 2.1397 1997 69.68 3 9 1.8431 1998 29.30 4 16 1.4669 1999 13.09 5 25 1.1169 2000 6.46 6 36 0.8102 Treat the model as a multiple regression equation of y on two variables x and x2. So one needs to create a new variable x (see column 4). Using EXCEL one obtains: y = 387.993 - 147.656 x + 14.188 x2 So for 2008: Y = ? Q31. The model is: LS = 60 + 61Age + 62 Age2 + 63Z, Where: LS is life satisfaction (individual happiness). Z is a set of time-invariant socio-demographic variables. The regression results were: For men: 61 = - 0.0313 (t = 3.81); 62 = + 0.0003 (t = 3.99). For women: 61 = - 0.0256 (t = 3.39); 62 = + 0.0003 (t = 5.29). (a) On the basis of the estimates for 6, and 62, what shape is the relationship for men between age and happiness?(b) On the basis of the estimates for Band 82, what shape is the relationship for women between age and happiness? {cl On the basis of the t-yalues for Band 61, could the shape of the relationship for men between age and happiness be obtained by chance? (d) On the basis of the t-values for Band 8;, could the shape of the relationship for women between age and happiness be obtained by chance? (e) On the basis of the relationship between age and happiness found in the data, what would you say to a young person you know who was considering committing suicide