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. With x . the number of natural science doctorates and y . the number of social science doctorates, use technology to obtain the regression equation and graph the associated points and regression line. (Round coefficients to three significant digits.)

b. What does the slope tell you about the relationship between the number of natural science doctorates and the number of social science doctorates?

c. Use technology to obtain the coefficient of correlation r. Does the value of r suggest a strong correlation between x and y?

d. Judging from the graph, would you say that a linear relationship between x and y is appropriate? Why?