Results: math0.3.sas

Prediction of Performance in First-year Calculus

Read exploratory data, create and test new variables

Check created variables

The FREQ Procedure

Table lang * tongue

Cross-Tabular Freq Table

Frequency

Table of lang by tongue
lang(Mother Tongue)	tongue(Mother Tongue (Eng or Other))
lang(Mother Tongue)		English	Other	Total
	28	0	0	28
English	0	402	0	402
French	0	0	5	5
Other	0	0	144	144
Total	28	402	149	579

Table grade * passed

Cross-Tabular Freq Table

Frequency

Table of grade by passed
grade(Final mark (if any))	passed(Passed the course)
grade(Final mark (if any))	No	Yes	Total
.	186	0	186
1	1	0	1
2	2	0	2
4	2	0	2
5	1	0	1
11	1	0	1
12	1	0	1
13	1	0	1
14	2	0	2
15	1	0	1
16	1	0	1
17	2	0	2
18	1	0	1
19	2	0	2
20	1	0	1
22	3	0	3
25	1	0	1
26	3	0	3
28	3	0	3
29	1	0	1
30	3	0	3
31	5	0	5
32	2	0	2
33	1	0	1
34	2	0	2
35	3	0	3
36	3	0	3
37	2	0	2
38	2	0	2
39	7	0	7
40	1	0	1
41	3	0	3
42	3	0	3
43	2	0	2
44	2	0	2
45	2	0	2
46	8	0	8
47	6	0	6
48	1	0	1
50	0	28	28
51	0	11	11
52	0	5	5
53	0	6	6
54	0	11	11
55	0	10	10
56	0	7	7
57	0	13	13
58	0	6	6
60	0	26	26
61	0	10	10
62	0	10	10
63	0	3	3
64	0	8	8
65	0	11	11
66	0	7	7
67	0	4	4
68	0	8	8
70	0	12	12
71	0	10	10
72	0	6	6
73	0	6	6
74	0	5	5
75	0	5	5
76	0	8	8
77	0	6	6
78	0	6	6
80	0	11	11
81	0	4	4
82	0	3	3
83	0	4	4
84	0	4	4
85	0	1	1
86	0	3	3
87	0	4	4
88	0	4	4
90	0	5	5
91	0	2	2
93	0	1	1
94	0	3	3
95	0	5	5
96	0	1	1
97	0	1	1
99	0	1	1
Total	274	305	579

Table grade * gsplit

Cross-Tabular Freq Table

Frequency

Table of grade by gsplit
grade(Final mark (if any))	gsplit(Median split on final grade)
grade(Final mark (if any))		60orLess	Over60	Total
.	186	0	0	186
1	0	1	0	1
2	0	2	0	2
4	0	2	0	2
5	0	1	0	1
11	0	1	0	1
12	0	1	0	1
13	0	1	0	1
14	0	2	0	2
15	0	1	0	1
16	0	1	0	1
17	0	2	0	2
18	0	1	0	1
19	0	2	0	2
20	0	1	0	1
22	0	3	0	3
25	0	1	0	1
26	0	3	0	3
28	0	3	0	3
29	0	1	0	1
30	0	3	0	3
31	0	5	0	5
32	0	2	0	2
33	0	1	0	1
34	0	2	0	2
35	0	3	0	3
36	0	3	0	3
37	0	2	0	2
38	0	2	0	2
39	0	7	0	7
40	0	1	0	1
41	0	3	0	3
42	0	3	0	3
43	0	2	0	2
44	0	2	0	2
45	0	2	0	2
46	0	8	0	8
47	0	6	0	6
48	0	1	0	1
50	0	28	0	28
51	0	11	0	11
52	0	5	0	5
53	0	6	0	6
54	0	11	0	11
55	0	10	0	10
56	0	7	0	7
57	0	13	0	13
58	0	6	0	6
60	0	26	0	26
61	0	0	10	10
62	0	0	10	10
63	0	0	3	3
64	0	0	8	8
65	0	0	11	11
66	0	0	7	7
67	0	0	4	4
68	0	0	8	8
70	0	0	12	12
71	0	0	10	10
72	0	0	6	6
73	0	0	6	6
74	0	0	5	5
75	0	0	5	5
76	0	0	8	8
77	0	0	6	6
78	0	0	6	6
80	0	0	11	11
81	0	0	4	4
82	0	0	3	3
83	0	0	4	4
84	0	0	4	4
85	0	0	1	1
86	0	0	3	3
87	0	0	4	4
88	0	0	4	4
90	0	0	5	5
91	0	0	2	2
93	0	0	1	1
94	0	0	3	3
95	0	0	5	5
96	0	0	1	1
97	0	0	1	1
99	0	0	1	1
Total	186	211	182	579

Table nation1 * ethnic

Cross-Tabular Freq Table

Frequency

Table of nation1 by ethnic
nation1(Nationality of name acc to rater1)	ethnic(Judged Nationality of name)
nation1(Nationality of name acc to rater1)	Asian	Eastern European	European not Eastern	Middle-Eastern and Pakistani	East Indian	Other and DK	Total
Asian	113	2	2	2	5	2	126
Eastern European	1	50	4	1	3	2	61
European not Eastern	9	8	183	1	1	2	204
Middle-Eastern and Pakistani	0	0	0	66	0	0	66
East Indian	0	1	2	1	67	1	72
Other and DK	8	2	4	1	2	33	50
Total	131	63	195	72	78	40	579

Table nation2 * ethnic

Cross-Tabular Freq Table

Frequency

Table of nation2 by ethnic
nation2(Nationality of name acc to rater2)	ethnic(Judged Nationality of name)
nation2(Nationality of name acc to rater2)	Asian	Eastern European	European not Eastern	Middle-Eastern and Pakistani	East Indian	Other and DK	Total
Asian	131	0	0	0	0	0	131
Eastern European	0	63	0	2	0	0	65
European not Eastern	0	0	195	1	0	0	196
Middle-Eastern and Pakistani	0	0	0	59	0	0	59
East Indian	0	0	0	8	78	0	86
Other and DK	0	0	0	2	0	40	42
Total	131	63	195	72	78	40	579

Table ethnic * e1

Cross-Tabular Freq Table

Frequency

Table of ethnic by e1
ethnic(Judged Nationality of name)	e1(Asian)
ethnic(Judged Nationality of name)	0	1	Total
Asian	0	131	131
Eastern European	63	0	63
European not Eastern	195	0	195
Middle-Eastern and Pakistani	72	0	72
East Indian	78	0	78
Other and DK	40	0	40
Total	448	131	579

Table ethnic * e2

Cross-Tabular Freq Table

Frequency

Table of ethnic by e2
ethnic(Judged Nationality of name)	e2(East Eur.)
ethnic(Judged Nationality of name)	0	1	Total
Asian	131	0	131
Eastern European	0	63	63
European not Eastern	195	0	195
Middle-Eastern and Pakistani	72	0	72
East Indian	78	0	78
Other and DK	40	0	40
Total	516	63	579

Table ethnic * e3

Cross-Tabular Freq Table

Frequency

Table of ethnic by e3
ethnic(Judged Nationality of name)	e3(Other Eur.)
ethnic(Judged Nationality of name)	0	1	Total
Asian	131	0	131
Eastern European	63	0	63
European not Eastern	0	195	195
Middle-Eastern and Pakistani	72	0	72
East Indian	78	0	78
Other and DK	40	0	40
Total	384	195	579

Table ethnic * e4

Cross-Tabular Freq Table

Frequency

Table of ethnic by e4
ethnic(Judged Nationality of name)	e4(Mid. East & Pak.)
ethnic(Judged Nationality of name)	0	1	Total
Asian	131	0	131
Eastern European	63	0	63
European not Eastern	195	0	195
Middle-Eastern and Pakistani	0	72	72
East Indian	78	0	78
Other and DK	40	0	40
Total	507	72	579

Table ethnic * e5

Cross-Tabular Freq Table

Frequency

Table of ethnic by e5
ethnic(Judged Nationality of name)	e5(East Ind.)
ethnic(Judged Nationality of name)	0	1	Total
Asian	131	0	131
Eastern European	63	0	63
European not Eastern	195	0	195
Middle-Eastern and Pakistani	72	0	72
East Indian	0	78	78
Other and DK	40	0	40
Total	501	78	579

Table ethnic * e6

Cross-Tabular Freq Table

Frequency

Table of ethnic by e6
ethnic(Judged Nationality of name)	e6(Other/DK)
ethnic(Judged Nationality of name)	0	1	Total
Asian	131	0	131
Eastern European	63	0	63
European not Eastern	195	0	195
Middle-Eastern and Pakistani	72	0	72
East Indian	78	0	78
Other and DK	0	40	40
Total	539	40	579

Table sex * gender

Cross-Tabular Freq Table

Frequency

Table of sex by gender
sex	gender
sex	.	0	1	Total
	28	0	0	28
Female	0	0	266	266
Male	0	285	0	285
Total	28	285	266	579

Table c1 * course

Cross-Tabular Freq Table

Frequency

Table of c1 by course
c1(Catch-up)	course
c1(Catch-up)	.	Catch-up	Mainstrm	Elite	Total
.	108	0	0	0	108
0	0	0	373	39	412
1	0	59	0	0	59
Total	108	59	373	39	579

Table c2 * course

Cross-Tabular Freq Table

Frequency

Table of c2 by course
c2(Mainstream)	course
c2(Mainstream)	.	Catch-up	Mainstrm	Elite	Total
.	108	0	0	0	108
0	0	59	0	39	98
1	0	0	373	0	373
Total	108	59	373	39	579

Table c3 * course

Cross-Tabular Freq Table

Frequency

Table of c3 by course
c3(Elite)	course
c3(Elite)	.	Catch-up	Mainstrm	Elite	Total
.	108	0	0	0	108
0	0	59	373	0	432
1	0	0	0	39	39
Total	108	59	373	39	579

Prediction of Performance in First-year Calculus

Read exploratory data, create and test new variables

Frequency distributions of variables to be used

The FREQ Procedure

Table course

One-Way Frequencies


course	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 108
Catch-up	59	12.53	59	12.53
Mainstrm	373	79.19	432	91.72
Elite	39	8.28	471	100.00

Table sex

One-Way Frequencies


sex	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 28
Female	266	48.28	266	48.28
Male	285	51.72	551	100.00

Table nation1

One-Way Frequencies


Nationality of name acc to rater1
nation1	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Asian	126	21.76	126	21.76
Eastern European	61	10.54	187	32.30
European not Eastern	204	35.23	391	67.53
Middle-Eastern and Pakistani	66	11.40	457	78.93
East Indian	72	12.44	529	91.36
Other and DK	50	8.64	579	100.00

Table nation2

One-Way Frequencies


Nationality of name acc to rater2
nation2	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Asian	131	22.63	131	22.63
Eastern European	65	11.23	196	33.85
European not Eastern	196	33.85	392	67.70
Middle-Eastern and Pakistani	59	10.19	451	77.89
East Indian	86	14.85	537	92.75
Other and DK	42	7.25	579	100.00

Table calc

One-Way Frequencies


Number calculus correct
calc	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 99
0	55	11.46	55	11.46
1	77	16.04	132	27.50
2	88	18.33	220	45.83
3	58	12.08	278	57.92
4	65	13.54	343	71.46
5	36	7.50	379	78.96
6	39	8.13	418	87.08
7	25	5.21	443	92.29
8	22	4.58	465	96.88
9	11	2.29	476	99.17
10	2	0.42	478	99.58
11	2	0.42	480	100.00

Table precalc

One-Way Frequencies


Number precalculus correct
precalc	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 99
0	4	0.83	4	0.83
1	13	2.71	17	3.54
2	53	11.04	70	14.58
3	84	17.50	154	32.08
4	96	20.00	250	52.08
5	104	21.67	354	73.75
6	72	15.00	426	88.75
7	33	6.88	459	95.63
8	14	2.92	473	98.54
9	7	1.46	480	100.00

Table hsgpa

One-Way Frequencies


High School GPA
hsgpa	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 113
65	1	0.21	1	0.21
66	2	0.43	3	0.64
67.3	1	0.21	4	0.86
67.7	1	0.21	5	1.07
68	1	0.21	6	1.29
69	2	0.43	8	1.72
69.2	3	0.64	11	2.36
69.3	1	0.21	12	2.58
69.5	1	0.21	13	2.79
69.7	1	0.21	14	3.00
69.8	4	0.86	18	3.86
70	2	0.43	20	4.29
70.3	1	0.21	21	4.51
70.5	2	0.43	23	4.94
70.7	4	0.86	27	5.79
70.8	2	0.43	29	6.22
71.2	3	0.64	32	6.87
71.3	2	0.43	34	7.30
71.5	5	1.07	39	8.37
71.8	2	0.43	41	8.80
72.2	2	0.43	43	9.23
72.3	3	0.64	46	9.87
72.5	5	1.07	51	10.94
72.7	3	0.64	54	11.59
72.8	6	1.29	60	12.88
73	4	0.86	64	13.73
73.2	4	0.86	68	14.59
73.3	6	1.29	74	15.88
73.5	5	1.07	79	16.95
73.7	3	0.64	82	17.60
73.8	6	1.29	88	18.88
74	3	0.64	91	19.53
74.2	2	0.43	93	19.96
74.3	2	0.43	95	20.39
74.5	7	1.50	102	21.89
74.7	4	0.86	106	22.75
74.8	4	0.86	110	23.61
75	5	1.07	115	24.68
75.2	6	1.29	121	25.97
75.3	2	0.43	123	26.39
75.5	6	1.29	129	27.68
75.7	3	0.64	132	28.33
75.8	7	1.50	139	29.83
76	6	1.29	145	31.12
76.2	10	2.15	155	33.26
76.3	5	1.07	160	34.33
76.5	7	1.50	167	35.84
76.7	7	1.50	174	37.34
76.8	6	1.29	180	38.63
77	7	1.50	187	40.13
77.2	9	1.93	196	42.06
77.3	4	0.86	200	42.92
77.5	8	1.72	208	44.64
77.7	5	1.07	213	45.71
77.8	2	0.43	215	46.14
78	7	1.50	222	47.64
78.2	7	1.50	229	49.14
78.3	10	2.15	239	51.29
78.5	5	1.07	244	52.36
78.7	6	1.29	250	53.65
78.8	2	0.43	252	54.08
79	3	0.64	255	54.72
79.2	2	0.43	257	55.15
79.3	5	1.07	262	56.22
79.5	6	1.29	268	57.51
79.7	5	1.07	273	58.58
79.8	2	0.43	275	59.01
80	8	1.72	283	60.73
80.2	5	1.07	288	61.80
80.3	2	0.43	290	62.23
80.5	4	0.86	294	63.09
80.7	6	1.29	300	64.38
80.8	5	1.07	305	65.45
81	9	1.93	314	67.38
81.2	4	0.86	318	68.24
81.3	3	0.64	321	68.88
81.5	4	0.86	325	69.74
81.7	4	0.86	329	70.60
81.8	4	0.86	333	71.46
82	6	1.29	339	72.75
82.2	4	0.86	343	73.61
82.3	5	1.07	348	74.68
82.5	4	0.86	352	75.54
82.7	2	0.43	354	75.97
82.8	3	0.64	357	76.61
83	5	1.07	362	77.68
83.2	2	0.43	364	78.11
83.3	3	0.64	367	78.76
83.5	3	0.64	370	79.40
83.7	1	0.21	371	79.61
83.8	4	0.86	375	80.47
84	3	0.64	378	81.12
84.2	1	0.21	379	81.33
84.3	2	0.43	381	81.76
84.5	1	0.21	382	81.97
84.7	5	1.07	387	83.05
84.8	1	0.21	388	83.26
85.2	3	0.64	391	83.91
85.3	3	0.64	394	84.55
85.5	2	0.43	396	84.98
85.8	2	0.43	398	85.41
86.2	1	0.21	399	85.62
86.3	1	0.21	400	85.84
86.5	2	0.43	402	86.27
86.7	4	0.86	406	87.12
86.8	5	1.07	411	88.20
87	1	0.21	412	88.41
87.2	1	0.21	413	88.63
87.3	3	0.64	416	89.27
87.8	1	0.21	417	89.48
88	2	0.43	419	89.91
88.2	1	0.21	420	90.13
88.3	3	0.64	423	90.77
88.5	3	0.64	426	91.42
88.7	3	0.64	429	92.06
89	1	0.21	430	92.27
89.2	1	0.21	431	92.49
90.2	1	0.21	432	92.70
90.3	2	0.43	434	93.13
90.5	2	0.43	436	93.56
90.8	1	0.21	437	93.78
91	3	0.64	440	94.42
91.5	4	0.86	444	95.28
91.8	1	0.21	445	95.49
92.3	4	0.86	449	96.35
92.5	2	0.43	451	96.78
92.7	2	0.43	453	97.21
93.2	1	0.21	454	97.42
93.3	2	0.43	456	97.85
93.5	2	0.43	458	98.28
93.7	2	0.43	460	98.71
94	1	0.21	461	98.93
94.3	1	0.21	462	99.14
95	1	0.21	463	99.36
95.8	1	0.21	464	99.57
96.2	1	0.21	465	99.79
97.3	1	0.21	466	100.00

Table hscalc

One-Way Frequencies


HS Calculus
hscalc	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 131
50	10	2.23	10	2.23
51	8	1.79	18	4.02
52	3	0.67	21	4.69
53	5	1.12	26	5.80
54	2	0.45	28	6.25
55	7	1.56	35	7.81
56	3	0.67	38	8.48
57	4	0.89	42	9.38
58	4	0.89	46	10.27
59	1	0.22	47	10.49
60	14	3.13	61	13.62
61	8	1.79	69	15.40
62	9	2.01	78	17.41
63	8	1.79	86	19.20
64	4	0.89	90	20.09
65	14	3.13	104	23.21
66	7	1.56	111	24.78
67	8	1.79	119	26.56
68	6	1.34	125	27.90
69	5	1.12	130	29.02
70	17	3.79	147	32.81
71	16	3.57	163	36.38
72	13	2.90	176	39.29
73	15	3.35	191	42.63
74	5	1.12	196	43.75
75	21	4.69	217	48.44
76	10	2.23	227	50.67
77	15	3.35	242	54.02
78	9	2.01	251	56.03
79	2	0.45	253	56.47
80	36	8.04	289	64.51
81	9	2.01	298	66.52
82	14	3.13	312	69.64
83	9	2.01	321	71.65
84	9	2.01	330	73.66
85	13	2.90	343	76.56
86	14	3.13	357	79.69
87	11	2.46	368	82.14
88	9	2.01	377	84.15
89	3	0.67	380	84.82
90	17	3.79	397	88.62
91	10	2.23	407	90.85
92	10	2.23	417	93.08
93	5	1.12	422	94.20
94	2	0.45	424	94.64
95	10	2.23	434	96.88
96	8	1.79	442	98.66
97	1	0.22	443	98.88
98	3	0.67	446	99.55
99	1	0.22	447	99.78
100	1	0.22	448	100.00

Table hsengl

One-Way Frequencies


HS English
hsengl	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 99
50	2	0.42	2	0.42
51	1	0.21	3	0.63
52	1	0.21	4	0.83
53	1	0.21	5	1.04
54	3	0.63	8	1.67
55	1	0.21	9	1.88
56	5	1.04	14	2.92
57	5	1.04	19	3.96
58	2	0.42	21	4.38
60	8	1.67	29	6.04
61	7	1.46	36	7.50
62	3	0.63	39	8.13
63	6	1.25	45	9.38
64	3	0.63	48	10.00
65	10	2.08	58	12.08
66	9	1.88	67	13.96
67	12	2.50	79	16.46
68	13	2.71	92	19.17
69	3	0.63	95	19.79
70	22	4.58	117	24.38
71	17	3.54	134	27.92
72	17	3.54	151	31.46
73	13	2.71	164	34.17
74	28	5.83	192	40.00
75	35	7.29	227	47.29
76	20	4.17	247	51.46
77	22	4.58	269	56.04
78	30	6.25	299	62.29
79	6	1.25	305	63.54
80	29	6.04	334	69.58
81	16	3.33	350	72.92
82	15	3.13	365	76.04
83	20	4.17	385	80.21
84	14	2.92	399	83.13
85	23	4.79	422	87.92
86	10	2.08	432	90.00
87	10	2.08	442	92.08
88	10	2.08	452	94.17
89	2	0.42	454	94.58
90	11	2.29	465	96.88
91	6	1.25	471	98.13
92	4	0.83	475	98.96
93	2	0.42	477	99.38
94	1	0.21	478	99.58
95	1	0.21	479	99.79
96	1	0.21	480	100.00

Table grade

One-Way Frequencies


Final mark (if any)
grade	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 186
1	1	0.25	1	0.25
2	2	0.51	3	0.76
4	2	0.51	5	1.27
5	1	0.25	6	1.53
11	1	0.25	7	1.78
12	1	0.25	8	2.04
13	1	0.25	9	2.29
14	2	0.51	11	2.80
15	1	0.25	12	3.05
16	1	0.25	13	3.31
17	2	0.51	15	3.82
18	1	0.25	16	4.07
19	2	0.51	18	4.58
20	1	0.25	19	4.83
22	3	0.76	22	5.60
25	1	0.25	23	5.85
26	3	0.76	26	6.62
28	3	0.76	29	7.38
29	1	0.25	30	7.63
30	3	0.76	33	8.40
31	5	1.27	38	9.67
32	2	0.51	40	10.18
33	1	0.25	41	10.43
34	2	0.51	43	10.94
35	3	0.76	46	11.70
36	3	0.76	49	12.47
37	2	0.51	51	12.98
38	2	0.51	53	13.49
39	7	1.78	60	15.27
40	1	0.25	61	15.52
41	3	0.76	64	16.28
42	3	0.76	67	17.05
43	2	0.51	69	17.56
44	2	0.51	71	18.07
45	2	0.51	73	18.58
46	8	2.04	81	20.61
47	6	1.53	87	22.14
48	1	0.25	88	22.39
50	28	7.12	116	29.52
51	11	2.80	127	32.32
52	5	1.27	132	33.59
53	6	1.53	138	35.11
54	11	2.80	149	37.91
55	10	2.54	159	40.46
56	7	1.78	166	42.24
57	13	3.31	179	45.55
58	6	1.53	185	47.07
60	26	6.62	211	53.69
61	10	2.54	221	56.23
62	10	2.54	231	58.78
63	3	0.76	234	59.54
64	8	2.04	242	61.58
65	11	2.80	253	64.38
66	7	1.78	260	66.16
67	4	1.02	264	67.18
68	8	2.04	272	69.21
70	12	3.05	284	72.26
71	10	2.54	294	74.81
72	6	1.53	300	76.34
73	6	1.53	306	77.86
74	5	1.27	311	79.13
75	5	1.27	316	80.41
76	8	2.04	324	82.44
77	6	1.53	330	83.97
78	6	1.53	336	85.50
80	11	2.80	347	88.30
81	4	1.02	351	89.31
82	3	0.76	354	90.08
83	4	1.02	358	91.09
84	4	1.02	362	92.11
85	1	0.25	363	92.37
86	3	0.76	366	93.13
87	4	1.02	370	94.15
88	4	1.02	374	95.17
90	5	1.27	379	96.44
91	2	0.51	381	96.95
93	1	0.25	382	97.20
94	3	0.76	385	97.96
95	5	1.27	390	99.24
96	1	0.25	391	99.49
97	1	0.25	392	99.75
99	1	0.25	393	100.00

Table tongue

One-Way Frequencies


Mother Tongue (Eng or Other)
tongue	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 28
English	402	72.96	402	72.96
Other	149	27.04	551	100.00

Table totscore

One-Way Frequencies


Total # right on diagnostic test
totscore	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Frequency Missing = 99
0	3	0.63	3	0.63
1	3	0.63	6	1.25
2	21	4.38	27	5.63
3	30	6.25	57	11.88
4	36	7.50	93	19.38
5	50	10.42	143	29.79
6	58	12.08	201	41.88
7	53	11.04	254	52.92
8	52	10.83	306	63.75
9	31	6.46	337	70.21
10	39	8.13	376	78.33
11	25	5.21	401	83.54
12	23	4.79	424	88.33
13	14	2.92	438	91.25
14	20	4.17	458	95.42
15	10	2.08	468	97.50
16	5	1.04	473	98.54
17	2	0.42	475	98.96
18	1	0.21	476	99.17
19	2	0.42	478	99.58
20	2	0.42	480	100.00

Table passed

One-Way Frequencies


Passed the course
passed	Frequency	Percent	Cumulative Frequency	Cumulative Percent
No	274	47.32	274	47.32
Yes	305	52.68	579	100.00

Table ethnic

One-Way Frequencies


Judged Nationality of name
ethnic	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Asian	131	22.63	131	22.63
Eastern European	63	10.88	194	33.51
European not Eastern	195	33.68	389	67.18
Middle-Eastern and Pakistani	72	12.44	461	79.62
East Indian	78	13.47	539	93.09
Other and DK	40	6.91	579	100.00

Prediction of Performance in First-year Calculus

Read exploratory data, create and test new variables

Frequency distributions of categorical variables

The FREQ Procedure

Table course

One-Way Frequencies


course	Frequency	Percent	Cumulative Frequency	Cumulative Percent
.	108	18.65	108	18.65
Catch-up	59	10.19	167	28.84
Mainstrm	373	64.42	540	93.26
Elite	39	6.74	579	100.00

Table sex

One-Way Frequencies


sex	Frequency	Percent	Cumulative Frequency	Cumulative Percent
	28	4.84	28	4.84
Female	266	45.94	294	50.78
Male	285	49.22	579	100.00

Table ethnic

One-Way Frequencies


Judged Nationality of name
ethnic	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Asian	131	22.63	131	22.63
Eastern European	63	10.88	194	33.51
European not Eastern	195	33.68	389	67.18
Middle-Eastern and Pakistani	72	12.44	461	79.62
East Indian	78	13.47	539	93.09
Other and DK	40	6.91	579	100.00

Table passed

One-Way Frequencies


Passed the course
passed	Frequency	Percent	Cumulative Frequency	Cumulative Percent
No	274	47.32	274	47.32
Yes	305	52.68	579	100.00

Prediction of Performance in First-year Calculus

Read exploratory data, create and test new variables

Quantitative Variables

The MEANS Procedure

Summary statistics


Variable	Label	N	Mean	Std Dev	Minimum	Maximum
hsgpa hscalc hsengl calc precalc totscore grade	High School GPA HS Calculus HS English Number calculus correct Number precalculus correct Total # right on diagnostic test Final mark (if any)	466 448 480 480 480 480 393	79.2690987 75.4441964 75.8354167 3.3187500 4.4020833 7.7208333 58.7379135	6.0384921 12.1918487 8.7180371 2.4918369 1.7621620 3.7036888 19.1831935	65.0000000 50.0000000 50.0000000 0 0 0 1.0000000	97.3000000 100.0000000 96.0000000 11.0000000 9.0000000 20.0000000 99.0000000