I ran two models between race and capital punishment. However, I recoded race two different ways:

Model 1: white coded as 0, blacks coded as 1

Model 2: blacks coded as 0, whites coded as 1

This gave me the following results:

	Model 1	Model 2
Coefficient	-1.081	1.081
Odds for whites	2.472	2.472
Odds for blacks	0.838	0.838
Odds ratio	0.34	2.95

1. Why the odds ratios are different? Explain it
2. Show the relation between the odd ratios and coefficient