In: Statistics and Probability
(3) Logistic regression
A financial institution that issues credit cards for subprime borrowers wants to identify its credit card applicants who do not exceed a default chance threshhold of 30% to approve an application. It randomly selected 41 past credit card holders and investigated their monthly salary, monthly debt, and marital status at the time of issuance of its credit card and whether they defaulted after taking the credit card. The data is available as DefaultRate.txt (In the data, DEFAULT = 1 means the customer defaulted and 0 otherwise; MARITAL=1 means married and 0 otherwise).
Please use R program to answer this (NO EXCEL or HANDWRITTEN), I really want to know the codes to answer these. Thank you so much in advance and be safe during these times!
(a) Identify the response variable and the predictor variables.
(b) Determine the logistic regression model for the purpose of the institution.
(c) Does the institution issue its credit card to a married customer with monthly salary of 2000 and monthly debt of 1400.
(d) Does the institution issue its credit card to a married customer with monthly salary of 3208 and monthly debt of 2200.
(e) Does the institution issue its credit card to a single customer with monthly salary of 3408 and monthly debt of 1700.
DefaultRate.txt:
DEFAULT  
SALARY   DEBT   MARITAL
0   3200   1370   0
0   5230   2700   1
1    2220    1571   0
0    2789    1100   0
0    3310    1700   1
0    3512    2670    1
0    4930    3180    1
1    2220    1571    0
0    3759    1450    0
1    4310    1905    1
0    7050    4023    1
0    5230    2310    0
1    2220    1571    0
0    2789    1100    0
0    6310    3130    0
0    2260    1420    1
0    4280    2810    1
1    2020    1571    1
0    2789    1810    1
1    2310    1300    0
0    3690    2370    1
0    5230    3020    1
1    2220    1571    0
0    2789    1170    0
0    3619    1700    1
0    6290    2207    0
0    5230    2700    1
1    2220    1571    0
0    2789    1130    0
1    3310    2100    1
0    2509    1120    0
0    6230    4420    1
0    2020    971    0
0    2789    1800   1
1    4310    3500   1
0    2503    1424    1
0    5775    2912    0
0    3057    1683    1
1    5412    3705    0
0    3180    2212    1
1    6082    3200    0