Consider the accompanying data file to estimate the logistic model for predicting loyalty (Loyal equals 1 if the member stayed at the gym for at least one year, 0 otherwise) Predictor variables include the member's age and income (in $1,000) and whether he she joined on a single plan (Single 1 if on a single plan, 0 otherwise) Use the estimated model to predict the odds for a 50 year old member with income of $80,000 and on a single plan Note Do not round intermediate calculations and round final answer to 2 decimal places Single Plan Predict the corresponding odds for a member on a family plan Note Do not round intermediate calculations and round final answer to 2 decimal places Family Plan Interpret the percentage change in the loyalty odds when each predictor variable increases by one unit, holding the other variables constant Note Do not round intermediate calculations and round final answers to 2 decimal places For Age, the odds by percent For Income, the odds by percent For Single, the odds by percent Loyal Age Income Plan 0 39 134 Single 1 57 120 Family 1 72 75 Single 1 71 143 Single 1 25 75 Single 1 44 149 Single 0 21 113 Family 1 26 87 Family 0 63 44 Family 0 37 44 Single 1 65 138 Family 0 43 138 Family 0 66 96 Family 1 21 91 Family 0 70 59 Single 0 39 31 Single 0 39 50 Single 0 43 85 Family 1 65 53 Single 1 73 119 Single 0 71 63 Family 1 72 51 Single 0 53 108 Single 1 60 46 Family 1 60 119 Single 0 21 41 Single 1 46 100 Family 0 21 55 Family 0 27 127 Single 1 30 143 Single 0 55 44 Family 1 73 132 Family 1 26 107 Single 0 27 70 Family 1 31 130 Family 1 76 111 Family 1 49 53 Family 0 56 118 Single 0 51 31 Single 1 27 141 Single 0 71 70 Single 1 57 136 Single 0 46 39 Single 1 60 149 Single 0 27 57 Single 0 21 41 Family 1 72 102 Single 1 64 83 Family 1 46 105 Single 0 26 50 Single 0 48 83 Single 0 34 47 Family 1 54 64 Family 0 44 56 Family 0 34 126 Family 1 30 142 Family 0 23 130 Single 1 77 107 Family 0 52 31 Family 1 32 103 Family 0 75 94 Single 1 25 141 Single 1 73 86 Family 1 69 132 Single 1 42 114 Family 0 59 51 Single 1 52 119 Family 0 49 55 Family 1 60 150 Single 1 67 114 Single 0 52 115 Single 0 48 47 Single 1 37 122 Single 0 70 36 Family 0 47 49 Family 1 61 136 Family 1 60 79 Family 1 50 122 Family 1 31 71 Family 1 65 141 Family 0 50 56 Single 0 24 84 Family 1 47 78 Single 1 28 122 Family 0 25 128 Family 1 71 131 Family 1 71 50 Family 1 68 129 Family 1 77 63 Family 0 71 74 Family 0 59 132 Single 0 46 136 Single 1 41 126 Family 1 52 81 Family 0 70 133 Single 1 35 110 Family 1 58 92 Single 0 66 47 Single 1 51 120 Single 1 53 135 Single 0 60 54 Single 1 43 128 Family 0 21 144 Single 1 30 137 Family 0 48 63 Family 1 53 77 Single 1 32 44 Single 0 60 39 Family 0 33 58 Single 0 60 30 Family 0 21 42 Single 1 42 139 Single 1 53 103 Single 1 80 138 Single 1 36 113 Family 1 75 82 Family 1 34 147 Single 0 65 39 Family 0 53 36 Family 1 27 97 Single 1 30 74 Single 0 36 36 Single 1 55 97 Single 1 52 97 Family 1 31 123 Family 1 54 107 Single 1 35 77 Family 1 73 142 Family 0 53 92 Single 1 48 91 Single 0 73 54 Single 1 37 120 Single 0 58 66 Single 1 60 141 Single 0 32 59 Single 0 23 55 Family 0 27 31 Single 1 42 143 Family 1 37 149 Single 0 46 42 Family 1 50 143 Single 0 71 68 Single 1 65 115 Single 1 48 65 Single 0 39 34 Single 1 36 148 Single 0 20 49 Family 0 24 33 Family 1 79 96 Single 1 73 74 Single 1 53 142 Single 1 79 144 Family 0 31 102 Single 0 27 143 Single 0 56 66 Single 0 20 76 Single 1 65 43 Family 1 78 114 Single 1 37 117 Family 0 54 80 Family 1 72 76 Family 0 27 107 Family 1 41 111 Family 1 74 104 Family 1 24 69 Family 1 21 98 Family 1 80 123 Single 0 52 54 Single 0 22 57 Family 1 49 147 Family 0 66 49 Single 1 56 112 Family 1 21 97 Family 1 45 109 Single 1 78 128 Single 1 38 139 Single 1 51 87 Single 1 56 119 Family 1 39 113 Single 1 72 116 Family 1 51 111 Family 0 22 79 Family 1 64 69 Single 1 78 136 Single 0 50 50 Single 0 49 30 Single 1 35 108 Family 0 31 115 Single 0 43 54 Single 1 30 116 Family 1 75 49 Single 1 77 109 Family 0 71 44 Single 1 35 121 Single 1 79 83 Single 1 48 115 Single 1 45 109 Family 0 33 38 Family 0 67 36 Single 0 51 69 Family

Question: Consider the accompanying data file to estimate the logistic model for predicting loyalty (Loyal equals 1 if the member stayed at the gym for at

Consider the accompanying data file to estimate the logistic model for predicting loyalty (Loyal equals 1 if the member stayed at the gym for at least one year, 0 otherwise). Predictor variables include the member's age and income (in $1,000) and whether he/she joined on a single plan (Single = 1 if on a single plan, 0 otherwise).

Use the estimated model to predict the odds for a 50-year-old member with income of $80,000 and on a single plan.

Note: Do not round intermediate calculations and round final answer to 2 decimal places.

Single Plan = ___________

Predict the corresponding odds for a member on a family plan.

Note: Do not round intermediate calculations and round final answer to 2 decimal places.

Family Plan = ____________

Interpret the percentage change in the loyalty odds when each predictor variable increases by one unit, holding the other variables constant.

Note: Do not round intermediate calculations and round final answers to 2 decimal places.

For Age, the odds ________ by _______ percent.

For Income, the odds _________ by ________ percent.

For Single, the odds ________ by _______ percent.

Loyal	Age	Income	Plan
0	39	134	Single
1	57	120	Family
1	72	75	Single
1	71	143	Single
1	25	75	Single
1	44	149	Single
0	21	113	Family
1	26	87	Family
0	63	44	Family
0	37	44	Single
1	65	138	Family
0	43	138	Family
0	66	96	Family
1	21	91	Family
0	70	59	Single
0	39	31	Single
0	39	50	Single
0	43	85	Family
1	65	53	Single
1	73	119	Single
0	71	63	Family
1	72	51	Single
0	53	108	Single
1	60	46	Family
1	60	119	Single
0	21	41	Single
1	46	100	Family
0	21	55	Family
0	27	127	Single
1	30	143	Single
0	55	44	Family
1	73	132	Family
1	26	107	Single
0	27	70	Family
1	31	130	Family
1	76	111	Family
1	49	53	Family
0	56	118	Single
0	51	31	Single
1	27	141	Single
0	71	70	Single
1	57	136	Single
0	46	39	Single
1	60	149	Single
0	27	57	Single
0	21	41	Family
1	72	102	Single
1	64	83	Family
1	46	105	Single
0	26	50	Single
0	48	83	Single
0	34	47	Family
1	54	64	Family
0	44	56	Family
0	34	126	Family
1	30	142	Family
0	23	130	Single
1	77	107	Family
0	52	31	Family
1	32	103	Family
0	75	94	Single
1	25	141	Single
1	73	86	Family
1	69	132	Single
1	42	114	Family
0	59	51	Single
1	52	119	Family
0	49	55	Family
1	60	150	Single
1	67	114	Single
0	52	115	Single
0	48	47	Single
1	37	122	Single
0	70	36	Family
0	47	49	Family
1	61	136	Family
1	60	79	Family
1	50	122	Family
1	31	71	Family
1	65	141	Family
0	50	56	Single
0	24	84	Family
1	47	78	Single
1	28	122	Family
0	25	128	Family
1	71	131	Family
1	71	50	Family
1	68	129	Family
1	77	63	Family
0	71	74	Family
0	59	132	Single
0	46	136	Single
1	41	126	Family
1	52	81	Family
0	70	133	Single
1	35	110	Family
1	58	92	Single
0	66	47	Single
1	51	120	Single
1	53	135	Single
0	60	54	Single
1	43	128	Family
0	21	144	Single
1	30	137	Family
0	48	63	Family
1	53	77	Single
1	32	44	Single
0	60	39	Family
0	33	58	Single
0	60	30	Family
0	21	42	Single
1	42	139	Single
1	53	103	Single
1	80	138	Single
1	36	113	Family
1	75	82	Family
1	34	147	Single
0	65	39	Family
0	53	36	Family
1	27	97	Single
1	30	74	Single
0	36	36	Single
1	55	97	Single
1	52	97	Family
1	31	123	Family
1	54	107	Single
1	35	77	Family
1	73	142	Family
0	53	92	Single
1	48	91	Single
0	73	54	Single
1	37	120	Single
0	58	66	Single
1	60	141	Single
0	32	59	Single
0	23	55	Family
0	27	31	Single
1	42	143	Family
1	37	149	Single
0	46	42	Family
1	50	143	Single
0	71	68	Single
1	65	115	Single
1	48	65	Single
0	39	34	Single
1	36	148	Single
0	20	49	Family
0	24	33	Family
1	79	96	Single
1	73	74	Single
1	53	142	Single
1	79	144	Family
0	31	102	Single
0	27	143	Single
0	56	66	Single
0	20	76	Single
1	65	43	Family
1	78	114	Single
1	37	117	Family
0	54	80	Family
1	72	76	Family
0	27	107	Family
1	41	111	Family
1	74	104	Family
1	24	69	Family
1	21	98	Family
1	80	123	Single
0	52	54	Single
0	22	57	Family
1	49	147	Family
0	66	49	Single
1	56	112	Family
1	21	97	Family
1	45	109	Single
1	78	128	Single
1	38	139	Single
1	51	87	Single
1	56	119	Family
1	39	113	Single
1	72	116	Family
1	51	111	Family
0	22	79	Family
1	64	69	Single
1	78	136	Single
0	50	50	Single
0	49	30	Single
1	35	108	Family
0	31	115	Single
0	43	54	Single
1	30	116	Family
1	75	49	Single
1	77	109	Family
0	71	44	Single
1	35	121	Single
1	79	83	Single
1	48	115	Single
1	45	109	Family
0	33	38	Family
0	67	36	Single
0	51	69	Family

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