Are so-called "right-to-work" laws related to the percent of public sector employees in unions and the percent of private sector employees in unions? This data set looks at these percentages for the states in the United States in 1982. The dependent variable is whether the state had a right-to-work law or not. The computer output for the logistic regression is given here. (Source: N. M. Meltz, "Interstate and Interprovincial Differences in Union Density," Industrial Relations, 28:2 [Spring 1989], 142-158 by way of DASL)
Logistic Regression Table

a) Write out the estimated regression equation.
b) The following are scatter plots of the response variable against each of the explanatory variables. Does logistic regression seem appropriate here? Explain.

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Predictor Cff SE(Coeff) Chisq P Intercept 6.1995 1.78724 12.04 0.001 publ pvt 0.1062 0.0475 5.02 0.025 0.2230 0.0811 7.56 0.006 0.8 0.6 0.4 0.2 0.0 10 20 30 40 50 60 Public そ0.8t 0.6 0.4 0.2 0.0 0 5 10 15 20 25 30 35 Private