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Q35. Using the notation given in class, the model is: y = 60 + 61X1 + 62 x12 + 63 X2, where: y is a measure of dementia (on a scale of 0 to 18); X1 is a person's age; x12 is a person's age squared; x2 is the log of the number of years of education a person had. The multiple regression result was: Dementia = 12.916 - 0.181 age + 0.002 age2 - 3.113 log education (a) If the t stat for 61 was 3.08, is age statistically significant? (b) If the t stat for 62 was 4.03, is age squared statistically significant? (c) How do you interpret the fact that 61 was negative while 62 was positive? That is, what was the shape of the relation between age. and dementia? (d) If the t stat for 62 was 9.39, is log education statistically significant? (e) Since 63 was negative and attached to the log of the number of years of education, how would you interpret the effect of education on dementia? [Hint: 63 = = 3.113 for 1 year of education, 63 = - 1.556 for 2 years of education and 63 = = 1.0377 for 3 years of education.] (f) How would you interpret a R-squared of 0.179 for the regression? (g) What would you say to someone who said that a college degree is not worth anything unless it gets you a job