The following table shows the annual number of PhD graduates in a country in various fields. 1990 1995 2000 2005 2010 2012 Natural Sciences 70 130 330 490 590 690 Engineering 10 40 130 370 550 590 Social Sciences 50 100 280 450 830 1,000 Education 30 40 130 210 520 900 (a) Use technology to obtain the regression equation and the coefficient of correlation r for the number of social science doctorates as a function of time t in years since 1990. (Round coefficients to three significant digits. Round your r-value to three decimal places.) y(t) =

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