According to the 2017 census, just over 90% of Americans have health insurance (CNBC, May 22, 2018). However, a higher percentage of Americans on the lower end of the economic spectrum are still without coverage. Consider a portion of data in the following table relating to insurance coverage (1 for coverage, 0 for no coverage) for 30 working individuals in Atlanta, Georgia. Also included in the table is the percentage of the premium (x₁) paid by the employer and the individual's income(x₂) (in $1,000s).

a. Analyze the linear probability regression model for insurance coverage with premium percentage(x₁) and income (x₂) used as the predictor variables. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

b-1. Consider an individual with an income of $72,000. What is the probability that she has insurance coverage if her employer contributes 50% of the premium? (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)

Note: Report the probability between 0 and 1 (not in %).

b-2. What if her employer contributes 75% of the premium? (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)

Note: Report the probability between 0 and 1 (not in %).

Insurance	PremiumPercentage	Income
1	0	95
0	0	61
0	58	58
0	71	45
1	65	35
1	45	68
0	37	74
0	60	48
1	72	41
0	72	40
0	57	51
0	67	42
1	0	95
0	52	58
0	60	70
1	64	83
0	88	35
0	0	64
0	0	56
0	72	83
0	75	65
0	78	27
0	67	35
0	31	56
0	55	67
0	87	35
0	70	59
0	0	67
0	78	38
1	65	66