A lecturer at college wanted to know if he can predict student’s quiz results by asking them to complete a simple survey. The result of the survey is given below: Quiz Results EQR Study Hrs Age Sex BBT MB MC AuHS LM 15 10 3 19 0 0 1 1 0 1 14 15 4 24 0 0 1 0 0 1 9 15 1 20 0 10 1 0 0 1 6 10 3 21 0 0 1 1 0 1 14 15 4 21 0 9 1 0 0 1 12 10 6 21 0 2 0 1 0 1 12 13 2 21 1 8 1 0 0 0 15 15 0 20 0 8 1 0 0 1 12 15 3 20 0 10 1 0 0 1 13 15 0.2 19 0 8 1 0 0 1 15 15 2 20 0 6 1 0 1 1 12 14 5 20 0 5 1 1 1 1 14 15 7 22 0 8 0 0 0 0 7 7 10 21 1 7 0 0 1 0 11 15 5 24 0 0 1 0 0 1 10 10 3 22 1 0 1 0 0 1 13 11 3 23 1 1 1 1 1 1 13 15 2 22 1 8 0 0 0 0 13 12 4 20 1 7 1 0 1 0 13 10 3 20 1 0 1 0 0 1 8 13 5 20 1 8 0 0 0 0 12 13 5 22 0 5 0 0 0 1 13 15 8 22 0 5 0 1 0 1 10 13 4 23 1 7 1 0 0 1 13 13 0.5 20 1 0 0 0 0 0 12 13 0.5 20 1 0 1 0 0 0 15 15 2 21 0 10 1 0 0 1 10 13 6 22 0 6 1 1 0 1 11 8 5 20 0 10 0 0 1 0 12 10 4 19 1 0 1 0 0 1 8 5 2 20 1 0 1 0 1 0 11 13 6 20 1 7.5 1 1 1 1 10 3 12 21 0 4 1 0 1 0 8 11 2 19 0 0 1 0 0 1 15 15 3 23 1 2 1 0 0 1 11 14 1 23 0 10 1 1 1 1 13 14 4 21 1 8 1 0 1 1 9 15 3 22 0 5 1 0 0 0 13 14 4 21 0 9 1 0 0 1 13 15 4 20 0 5 1 0 0 1 11 13 5 20 1 8 0 0 0 0 7 10 3 24 1 5 1 0 1 1 14 15 3 20 0 6 1 0 0 1 13 15 3 20 0 8 0 0 0 0 8 12 0.5 22 1 2 1 1 0 1 8 10 4 19 1 7 0 0 1 1 15 15 3 20 0 7 1 0 0 1 14 14 3 19 0 8 1 0 0 1 7 10 3 21 1 0 0 0 1 0 11 13 2 21 0 7 1 1 0 1 14 15 6 22 0 6 1 0 0 1 9 12 3 21 1 0 1 0 0 1 14 15 2 22 0 5 1 0 0 1 9 8 4 21 0 7 1 0 1 1 15 15 7 20 0 6 1 0 0 1 13 14 3 23 1 4 0 1 0 0 14 15 5 21 0 5 1 0 0 1 12 13 5 19 1 6 1 0 0 0 14 12 2 22 1 10 1 0 0 1 14 13 2 22 0 10 1 0 0 0 11 12 3 22 0 8 1 0 1 1 4 1 9 30 0 10 1 0 1 1 14 15 3 21 1 8 1 0 0 1 15 15 3 20 0 0 0 0 0 0 13 15 3 19 1 7 1 0 0 1 14 15 2 21 1 6 1 0 0 1 8 5 3 20 0 0 1 0 1 1 7 10 9 21 1 0 1 1 0 1 12 14 4 20 0 0 1 0 0 0 6 8 4 21 0 1 1 1 0 0 9 10 5 20 0 2 0 0 1 0 10 13 2 20 1 6 1 1 1 0 10 12 1 25 1 5 1 0 1 1 13 15 2 21 1 3 1 0 0 1 9 8 1 29 0 0 0 1 0 0 12 13 2 19 0 0 1 0 0 1 12 15 3 20 0 0 1 0 0 1 14 12 7 19 0 3 1 0 1 1 8 7 1 19 1 0 0 1 0 0 14 12 1 23 1 6 1 0 1 1 11 9 3 20 1 5 0 1 1 1 13 15 2 21 1 0 1 0 0 1 14 11 2 19 1 9 0 0 0 0 11 14 4 22 1 10 0 0 0 1 10 8 5 20 1 5 0 0 1 1 11 13 1 22 1 2 0 0 0 0 14 15 0.5 20 0 8 1 0 0 0 12 14 15 23 0 0 1 1 0 1 10 12 4 19 1 0 0 1 1 1 14 12 0 20 1 3 1 0 1 1 13 10 2 19 1 0 1 0 1 0 15 12 2 20 1 3 1 0 1 1 8 10 3 19 1 1 1 0 1 1 14 12 5 21 0 0 1 0 0 1 6 10 2 21 1 8 1 0 0 1 8 8 2 21 1 1 1 0 1 1 12 10 2 20 0 7 1 0 1 1 9 6 3 20 0 1 1 1 1 1 7 8 4 19 1 9 1 1 1 0 13 11 6 19 1 6 1 0 0 1 13 10 2 25 1 0 1 0 0 1 14 14 2 25 1 5 1 0 0 0 Quiz Result Actual Mark (0-15) for quiz student attained EQR Quiz score (0-15) expected to get before taking the quiz Study Hrs. Number of hours per week (on average) spent studying for Statistics Age Age (in years) BBT Satisfaction rating of Big Bang Theory Sex M=1 F=0 MB MB=1 for good math background, otherwise 0 MC MC= 1 if math centre is used regularly, otherwise 0 AuHS AuHS = 1 if student completed high school in Australia, otherwise 0 LM LM=1 if student likes math, 0 otherwise Task 3: Regression Analysis (a) Run a regression of Quiz results on EQR. Formulate a hypothesis test to determine if EQR is a significant factor in determining quiz results. (b) Interpret the above regression (c) Run a regression of Quiz results on EQR, study hours, age and sex. Is this a better or worse model. Explain (d) Are all variables significant determinants? Explain (e) Interpret the regression from part c (f) Run a regression of Quiz results on all the listed variables. Are they all statistically significant? Determine the best model to help predict quiz results.

A lecturer at college wanted to know if he can predict student’s quiz results by asking them to complete a simple survey. The result of the survey is given below: Quiz Results EQR Study Hrs Age Sex BBT MB MC AuHS LM 15 10 3 19 0 0 1 1 0 1 14 15 4 24 0 0 1 0 0 1 9 15 1 20 0 10 1 0 0 1 6 10 3 21 0 0 1 1 0 1 14 15 4 21 0 9 1 0 0 1 12 10 6 21 0 2 0 1 0 1 12 13 2 21 1 8 1 0 0 0 15 15 0 20 0 8 1 0 0 1 12 15 3 20 0 10 1 0 0 1 13 15 0.2 19 0 8 1 0 0 1 15 15 2 20 0 6 1 0 1 1 12 14 5 20 0 5 1 1 1 1 14 15 7 22 0 8 0 0 0 0 7 7 10 21 1 7 0 0 1 0 11 15 5 24 0 0 1 0 0 1 10 10 3 22 1 0 1 0 0 1 13 11 3 23 1 1 1 1 1 1 13 15 2 22 1 8 0 0 0 0 13 12 4 20 1 7 1 0 1 0 13 10 3 20 1 0 1 0 0 1 8 13 5 20 1 8 0 0 0 0 12 13 5 22 0 5 0 0 0 1 13 15 8 22 0 5 0 1 0 1 10 13 4 23 1 7 1 0 0 1 13 13 0.5 20 1 0 0 0 0 0 12 13 0.5 20 1 0 1 0 0 0 15 15 2 21 0 10 1 0 0 1 10 13 6 22 0 6 1 1 0 1 11 8 5 20 0 10 0 0 1 0 12 10 4 19 1 0 1 0 0 1 8 5 2 20 1 0 1 0 1 0 11 13 6 20 1 7.5 1 1 1 1 10 3 12 21 0 4 1 0 1 0 8 11 2 19 0 0 1 0 0 1 15 15 3 23 1 2 1 0 0 1 11 14 1 23 0 10 1 1 1 1 13 14 4 21 1 8 1 0 1 1 9 15 3 22 0 5 1 0 0 0 13 14 4 21 0 9 1 0 0 1 13 15 4 20 0 5 1 0 0 1 11 13 5 20 1 8 0 0 0 0 7 10 3 24 1 5 1 0 1 1 14 15 3 20 0 6 1 0 0 1 13 15 3 20 0 8 0 0 0 0 8 12 0.5 22 1 2 1 1 0 1 8 10 4 19 1 7 0 0 1 1 15 15 3 20 0 7 1 0 0 1 14 14 3 19 0 8 1 0 0 1 7 10 3 21 1 0 0 0 1 0 11 13 2 21 0 7 1 1 0 1 14 15 6 22 0 6 1 0 0 1 9 12 3 21 1 0 1 0 0 1 14 15 2 22 0 5 1 0 0 1 9 8 4 21 0 7 1 0 1 1 15 15 7 20 0 6 1 0 0 1 13 14 3 23 1 4 0 1 0 0 14 15 5 21 0 5 1 0 0 1 12 13 5 19 1 6 1 0 0 0 14 12 2 22 1 10 1 0 0 1 14 13 2 22 0 10 1 0 0 0 11 12 3 22 0 8 1 0 1 1 4 1 9 30 0 10 1 0 1 1 14 15 3 21 1 8 1 0 0 1 15 15 3 20 0 0 0 0 0 0 13 15 3 19 1 7 1 0 0 1 14 15 2 21 1 6 1 0 0 1 8 5 3 20 0 0 1 0 1 1 7 10 9 21 1 0 1 1 0 1 12 14 4 20 0 0 1 0 0 0 6 8 4 21 0 1 1 1 0 0 9 10 5 20 0 2 0 0 1 0 10 13 2 20 1 6 1 1 1 0 10 12 1 25 1 5 1 0 1 1 13 15 2 21 1 3 1 0 0 1 9 8 1 29 0 0 0 1 0 0 12 13 2 19 0 0 1 0 0 1 12 15 3 20 0 0 1 0 0 1 14 12 7 19 0 3 1 0 1 1 8 7 1 19 1 0 0 1 0 0 14 12 1 23 1 6 1 0 1 1 11 9 3 20 1 5 0 1 1 1 13 15 2 21 1 0 1 0 0 1 14 11 2 19 1 9 0 0 0 0 11 14 4 22 1 10 0 0 0 1 10 8 5 20 1 5 0 0 1 1 11 13 1 22 1 2 0 0 0 0 14 15 0.5 20 0 8 1 0 0 0 12 14 15 23 0 0 1 1 0 1 10 12 4 19 1 0 0 1 1 1 14 12 0 20 1 3 1 0 1 1 13 10 2 19 1 0 1 0 1 0 15 12 2 20 1 3 1 0 1 1 8 10 3 19 1 1 1 0 1 1 14 12 5 21 0 0 1 0 0 1 6 10 2 21 1 8 1 0 0 1 8 8 2 21 1 1 1 0 1 1 12 10 2 20 0 7 1 0 1 1 9 6 3 20 0 1 1 1 1 1 7 8 4 19 1 9 1 1 1 0 13 11 6 19 1 6 1 0 0 1 13 10 2 25 1 0 1 0 0 1 14 14 2 25 1 5 1 0 0 0 Quiz Result Actual Mark (0-15) for quiz student attained EQR Quiz score (0-15) expected to get before taking the quiz Study Hrs. Number of hours per week (on average) spent studying for Statistics Age Age (in years) BBT Satisfaction rating of Big Bang Theory Sex M=1 F=0 MB MB=1 for good math background, otherwise 0 MC MC= 1 if math centre is used regularly, otherwise 0 AuHS AuHS = 1 if student completed high school in Australia, otherwise 0 LM LM=1 if student likes math, 0 otherwise Task 3: Regression Analysis (a) Run a regression of Quiz results on EQR. Formulate a hypothesis test to determine if EQR is a significant factor in determining quiz results. (b) Interpret the above regression (c) Run a regression of Quiz results on EQR, study hours, age and sex. Is this a better or worse model. Explain (d) Are all variables significant determinants? Explain (e) Interpret the regression from part c (f) Run a regression of Quiz results on all the listed variables. Are they all statistically significant? Determine the best model to help predict quiz results.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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Question

A lecturer at college wanted to know if he can predict student’s quiz results by asking them to
complete a simple survey. The result of the survey is given below:

Quiz Results	EQR	Study Hrs	Age	Sex	BBT	MB	MC	AuHS	LM
15	10	3	19	0	0	1	1	0	1
14	15	4	24	0	0	1	0	0	1
9	15	1	20	0	10	1	0	0	1
6	10	3	21	0	0	1	1	0	1
14	15	4	21	0	9	1	0	0	1
12	10	6	21	0	2	0	1	0	1
12	13	2	21	1	8	1	0	0	0
15	15	0	20	0	8	1	0	0	1
12	15	3	20	0	10	1	0	0	1
13	15	0.2	19	0	8	1	0	0	1
15	15	2	20	0	6	1	0	1	1
12	14	5	20	0	5	1	1	1	1
14	15	7	22	0	8	0	0	0	0
7	7	10	21	1	7	0	0	1	0
11	15	5	24	0	0	1	0	0	1
10	10	3	22	1	0	1	0	0	1
13	11	3	23	1	1	1	1	1	1
13	15	2	22	1	8	0	0	0	0
13	12	4	20	1	7	1	0	1	0
13	10	3	20	1	0	1	0	0	1
8	13	5	20	1	8	0	0	0	0
12	13	5	22	0	5	0	0	0	1
13	15	8	22	0	5	0	1	0	1
10	13	4	23	1	7	1	0	0	1
13	13	0.5	20	1	0	0	0	0	0
12	13	0.5	20	1	0	1	0	0	0
15	15	2	21	0	10	1	0	0	1
10	13	6	22	0	6	1	1	0	1
11	8	5	20	0	10	0	0	1	0
12	10	4	19	1	0	1	0	0	1
8	5	2	20	1	0	1	0	1	0
11	13	6	20	1	7.5	1	1	1	1
10	3	12	21	0	4	1	0	1	0
8	11	2	19	0	0	1	0	0	1
15	15	3	23	1	2	1	0	0	1
11	14	1	23	0	10	1	1	1	1
13	14	4	21	1	8	1	0	1	1
9	15	3	22	0	5	1	0	0	0
13	14	4	21	0	9	1	0	0	1
13	15	4	20	0	5	1	0	0	1
11	13	5	20	1	8	0	0	0	0
7	10	3	24	1	5	1	0	1	1
14	15	3	20	0	6	1	0	0	1
13	15	3	20	0	8	0	0	0	0
8	12	0.5	22	1	2	1	1	0	1
8	10	4	19	1	7	0	0	1	1
15	15	3	20	0	7	1	0	0	1
14	14	3	19	0	8	1	0	0	1
7	10	3	21	1	0	0	0	1	0
11	13	2	21	0	7	1	1	0	1
14	15	6	22	0	6	1	0	0	1
9	12	3	21	1	0	1	0	0	1
14	15	2	22	0	5	1	0	0	1
9	8	4	21	0	7	1	0	1	1
15	15	7	20	0	6	1	0	0	1
13	14	3	23	1	4	0	1	0	0
14	15	5	21	0	5	1	0	0	1
12	13	5	19	1	6	1	0	0	0
14	12	2	22	1	10	1	0	0	1
14	13	2	22	0	10	1	0	0	0
11	12	3	22	0	8	1	0	1	1
4	1	9	30	0	10	1	0	1	1
14	15	3	21	1	8	1	0	0	1
15	15	3	20	0	0	0	0	0	0
13	15	3	19	1	7	1	0	0	1
14	15	2	21	1	6	1	0	0	1
8	5	3	20	0	0	1	0	1	1
7	10	9	21	1	0	1	1	0	1
12	14	4	20	0	0	1	0	0	0
6	8	4	21	0	1	1	1	0	0
9	10	5	20	0	2	0	0	1	0
10	13	2	20	1	6	1	1	1	0
10	12	1	25	1	5	1	0	1	1
13	15	2	21	1	3	1	0	0	1
9	8	1	29	0	0	0	1	0	0
12	13	2	19	0	0	1	0	0	1
12	15	3	20	0	0	1	0	0	1
14	12	7	19	0	3	1	0	1	1
8	7	1	19	1	0	0	1	0	0
14	12	1	23	1	6	1	0	1	1
11	9	3	20	1	5	0	1	1	1
13	15	2	21	1	0	1	0	0	1
14	11	2	19	1	9	0	0	0	0
11	14	4	22	1	10	0	0	0	1
10	8	5	20	1	5	0	0	1	1
11	13	1	22	1	2	0	0	0	0
14	15	0.5	20	0	8	1	0	0	0
12	14	15	23	0	0	1	1	0	1
10	12	4	19	1	0	0	1	1	1
14	12	0	20	1	3	1	0	1	1
13	10	2	19	1	0	1	0	1	0
15	12	2	20	1	3	1	0	1	1
8	10	3	19	1	1	1	0	1	1
14	12	5	21	0	0	1	0	0	1
6	10	2	21	1	8	1	0	0	1
8	8	2	21	1	1	1	0	1	1
12	10	2	20	0	7	1	0	1	1
9	6	3	20	0	1	1	1	1	1
7	8	4	19	1	9	1	1	1	0
13	11	6	19	1	6	1	0	0	1
13	10	2	25	1	0	1	0	0	1
14	14	2	25	1	5	1	0	0	0

Quiz Result Actual Mark (0-15) for quiz student attained
EQR Quiz score (0-15) expected to get before taking the quiz
Study Hrs. Number of hours per week (on average) spent studying for Statistics
Age Age (in years)
BBT Satisfaction rating of Big Bang Theory
Sex M=1 F=0
MB MB=1 for good math background, otherwise 0
MC MC= 1 if math centre is used regularly, otherwise 0
AuHS AuHS = 1 if student completed high school in Australia, otherwise 0
LM LM=1 if student likes math, 0 otherwise

Task 3: Regression Analysis
(a) Run a regression of Quiz results on EQR. Formulate a hypothesis test to determine if EQR is
a significant factor in determining quiz results.
(b) Interpret the above regression
(c) Run a regression of Quiz results on EQR, study hours, age and sex. Is this a better or worse
model. Explain
(d) Are all variables significant determinants? Explain
(e) Interpret the regression from part c
(f) Run a regression of Quiz results on all the listed variables. Are they all statistically significant?
Determine the best model to help predict quiz results.

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