Doctorates in Mexico Exercises are based on the following table showin...

Doctorates in Mexico Exercises are based on the following table showing the annual number of PhD graduates in Mexico in various fields.

a. Use technology to obtain the regression equation and the coefficient of correlation r for the number of natural science doctorates as a function of time t in years since 1990, and graph the associated points and regression line. (Round coefficients to three significant digits.)

b. What does the slope tell you about the number of natural science doctorates?

c. Judging from the graph, would you say that the number of natural science doctorates is increasing at a faster and faster rate, a slower and slower rate, or neither? Why?

d. If r had been equal to 1, could you have drawn the same conclusion as in part (c)? Explain.