Georgia Perimeter College - Math 1431 - Data for Class Activities

Data for Class Activities

The following data represent the number of homeruns per season for each respective player:

Barry Bonds: 16 25 24 19 33

25 34 46 37 33

42 40 37 34 49

73 46 45

Sammy Sosa: 1 7 15 10 8

33 25 36 40 36

66 63 50 64 49

40

The following data represent the fuel efficiency (in mpg) of my 1998 Honda Civic for each of the last 20 full tanks:

29.56 30.25 28.33 33.04 30.90 30.70 27.63 36.09 35.91 31.32

34.49 33.86 36.97 32.81 34.61 29.30 31.41 35.54 32.13 34.21

The following data represent the fuel efficiency (in mpg) of my wife's 2003 Honda Civic for each of the first eight (8) full tanks:

21.94 20.86 20.28 26.96 25.26 22.17 19.65 23.91

1. The following data represent the scores of the first two rounds of the 2004 NCAA Men's Division I Basketball Tourney (St. Louis and East Rutherford Brackets):

96 76 100 102 58 66 78 53 58 51

65 60 66 72 76 49 75 76 63 78

54 57 91 72 82 59 63 76 73 60

53 75 79 78 76 70 64 53 44 59

55 43 75 56 70 84 65 80

Determine if the data is normally distributed.

2. Twenty one-day-old male chicks were fed corn. Here are the weight gains (in grams) after 21 days:

380 321 366 356 283 349

402 423 356 410 329 399

350 384 316 272 345 360

431 455

Determine if the data is normally distributed.

3. Here are the number of homeruns hit each year by Joe DiMaggio:

29 46 32 30 31 30 12

21 25 20 39 14 32

Determine if the data is normally distributed.

The yearly increase of CEO compensation and the yearly corporate profits for the largest 350 U.S. publicly traded firms is given below:

1995 1996 1997 1998 1999 2000 2001 2002 2003 2004

CEO compensation 10.4% 5.2% 11.7% 5.2% 11.0% 10.0% -2.8% 10.0% 7.2% 14.5%

Corporate Profits 14.2% 11.0% 8.9% 5.0% 15.1% 8.9% -17.8% 14.8% 19.2% 23.0%

The following data represents the ages (in years) of seven men and their systolic blood pressures:

Age, x 16 25 39 45 49 64 70

Systolic BP, y 109 122 143 132 199 185 199

Use the TI-83 to help you construct the scatterplot. Label the graph.
Describe the overall pattern. Is there a direction to the relationship? If so, what is it? Is there an outlier?
Suppose the men aged 25, 49 and 64 were smokers and the others were non-smokers. Show this on your scatterplot.
Can you conclude anything about smokers and their systolic blood pressure? Why or why not.

Adapted from www.mathlab.isot.com/math/Statistics/Statlab4.pdf

Resources:

i. Guessing Correlations - http://www.stat.uiuc.edu/~stat100/java/GCApplet/GCAppletFrame.html This applet gives you four scatterplots and four correlation coefficients. You match them up.

ii. Correlation/Outliers Applet - http://www.math.tamu.edu/FiniteMath/FinalBuild/Classes/Correlation/ Once applet can provide you with real insight into how to read scatterplots and into how correlation coefficients can be misleading.

iii. Regression by Eye - http://www.ruf.rice.edu/~lane/stat_sim/reg_by_eye/index.html This applet gives you a scatterplot and you can use the mouse to indicate what seems to be the best straight line approximating the data. This is an excellent way to develop a feel for linear regression!

iv. Visual Statistics - http://www.seeingstatistics.com/seeingTour/intro/why3.html This applet graphssome common geometric statistical concepts: data points (black dots), residuals (red lines), error squares (yellow squares), and regression or model line (blue line). Use your mouse to drag the blue line and see how the geometric objects change.

A student wonders if people of similar heights tend to date each other. She measures herself, her dormitory roommate, and the women in the adjoining rooms, then she measures the next man each woman dates. Here are the data (heights in inches):

Women, x 66 64 66 65 70 65

Men, y 72 68 70 68 71 65

Use the TI-83 to help you construct the scatterplot.
Describe the overall pattern. Is there an outlier?
Based on the scatterplot, do you expect the correlation to be positive or negative? near ±1 or not?
Compute the correlation r.
How would r change if all the men were 6 inches shorter than the heights given in the table?
How r would change if the heights are measured in centimeters?

CEO compensation: http://www.industryweek.com/PrintArticle.aspx?ArticleID=10387

The following data represent my weight (in #) since starting my low-card diet:

1/12/04 1/19/04 1/26/04 2/2/04 2/9/04 2/16/04 2/23/04 3/1/04 3/8/04 3/15/04

187 185 182 179 176 174 172 170 171 170

3/22/04 3/29/04 4/5/04 4/12/04 4/19/04 4/26/04 4/30/04 5/10/04 5/17/04

169 166 167 163 164 164 163 164 163

Use the TI-83 to help you construct a scatterplot of my weight. Label the graph.
Describe the overall pattern. Is there a direction to the relationship? If so, what is it? Is there an outlier?
Based on the scatterplot, do you expect the correlation to be positive or negative? near ±1 or not?
Compute the correlation r.

The following data represent the grade for Quiz 3 and the grade for Test I for students in one of my classes:

Student: 1 2 3 4 5 6 7 8 9 10 11

Quiz: 8 5 9 9 3 10 9 5 6 5 8

Test: 74 88 99 90 63 91 91 84 83 98 90

Student: 12 13 14 15 16 17 18 19 20 21 22

Quiz: 9 10 5 8 5 10 8 8 8 9 8

Test: 83 60 80 96 56 97 87 79 82 92 85

Use the TI-83 to help you construct a scatterplot of quiz grades vs. test grades. Label the graph.
Describe the overall pattern. Is there a direction to the relationship? If so, what is it? Is there an outlier?
Based on the scatterplot, do you expect the correlation to be positive or negative? near ±1 or not?
Compute the correlation r.

Below are the students in one of my statistics classes:

     Beth    Brandon

     Lisa    Lacey

     Julie    Suzanne

     Joanna    Kelly

     Danielle    Hollie

     Marissa    Shavonne

     Benjamin    Krissie

     Christina    Anthony

     Kevin    Brian

     Dobrinka    Tanya

     Ashleigh    Takang

     Kim    Joanne

The famous "The Monte Hall Problem" comes from the game show Let's Make A Deal. Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a $1,000,000.00 and behind the others, goats. The host knows behind which door is the good prize (for me it's the $1,000,000.00). You pick a door, say door number 1, and the host shows you what's behind one of the other doors that hides the goat. Then he gives you a chance to stay with your initial choice or to change your choice. Do you switch your choice of doors? Explain.

Would you switch if there were four(4) doors?

The following data are from 20 small packets of M&Ms:

sample red orange yellow green blue brown total

1 10 8 6 8 12 13 57

2 10 12 4 8 17 8 59

3 7 11 6 13 12 7 56

4 11 10 5 11 7 14 58

5 7 13 2 11 7 16 56

6 13 11 9 9 9 7 58

7 9 10 2 13 9 14 57

8 14 8 5 11 8 11 57

9 9 10 6 9 12 10 56

10 8 15 7 13 7 5 55

11 8 11 7 12 10 9 57

12 9 14 4 14 9 9 59

13 2 9 8 7 9 22 57

14 9 10 3 10 12 13 57

15 6 8 7 15 7 16 59

16 9 10 2 13 13 10 57

17 8 10 6 14 9 11 58

18 9 11 2 8 15 16 61

19 7 18 4 7 12 10 58

20 8 12 2 11 11 11 55

Data is from http://mathforum.org/epigone/ap-stat/clubangcroi.

Online Resources:

Sampling Distributions [and Central Limit Theorem] - http://www.ruf.rice.edu/~lane/stat_sim/sampling_dist/
This java applet lets you explore various aspects of sampling distributions.
Proof of the Central Limit Theorem - http://mathworld.wolfram.com/CentralLimitTheorem.html
The proof of this theorem is beyond the scope of the course. It is included here in case you are interested!

29.56	30.25	28.33	33.04	30.90	30.70	27.63	36.09	35.91	31.32
34.49	33.86	36.97	32.81	34.61	29.30	31.41	35.54	32.13	34.21

96	76	100	102	58	66	78	53	58	51
65	60	66	72	76	49	75	76	63	78
54	57	91	72	82	59	63	76	73	60
53	75	79	78	76	70	64	53	44	59
55	43	75	56	70	84	65	80

380	321	366	356	283	349
402	423	356	410	329	399
350	384	316	272	345	360
431	455

	1995	1996	1997	1998	1999	2000	2001	2002	2003	2004
CEO compensation	10.4%	5.2%	11.7%	5.2%	11.0%	10.0%	-2.8%	10.0%	7.2%	14.5%
Corporate Profits	14.2%	11.0%	8.9%	5.0%	15.1%	8.9%	-17.8%	14.8%	19.2%	23.0%

Age, x	16	25	39	45	49	64	70
Systolic BP, y	109	122	143	132	199	185	199

1/12/04	1/19/04	1/26/04	2/2/04	2/9/04	2/16/04	2/23/04	3/1/04	3/8/04	3/15/04
187	185	182	179	176	174	172	170	171	170

3/22/04	3/29/04	4/5/04	4/12/04	4/19/04	4/26/04	4/30/04	5/10/04	5/17/04
169	166	167	163	164	164	163	164	163

Student:	1	2	3	4	5	6	7	8	9	10	11
Quiz:	8	5	9	9	3	10	9	5	6	5	8
Test:	74	88	99	90	63	91	91	84	83	98	90

Student:	12	13	14	15	16	17	18	19	20	21	22
Quiz:	9	10	5	8	5	10	8	8	8	9	8
Test:	83	60	80	96	56	97	87	79	82	92	85

	Beth			Brandon
	Lisa			Lacey
	Julie			Suzanne
	Joanna			Kelly
	Danielle			Hollie
	Marissa			Shavonne
	Benjamin			Krissie
	Christina			Anthony
	Kevin			Brian
	Dobrinka			Tanya
	Ashleigh			Takang
	Kim			Joanne

sample	red	orange	yellow	green	blue	brown	total
1	10	8	6	8	12	13	57
2	10	12	4	8	17	8	59
3	7	11	6	13	12	7	56
4	11	10	5	11	7	14	58
5	7	13	2	11	7	16	56
6	13	11	9	9	9	7	58
7	9	10	2	13	9	14	57
8	14	8	5	11	8	11	57
9	9	10	6	9	12	10	56
10	8	15	7	13	7	5	55
11	8	11	7	12	10	9	57
12	9	14	4	14	9	9	59
13	2	9	8	7	9	22	57
14	9	10	3	10	12	13	57
15	6	8	7	15	7	16	59
16	9	10	2	13	13	10	57
17	8	10	6	14	9	11	58
18	9	11	2	8	15	16	61
19	7	18	4	7	12	10	58
20	8	12	2	11	11	11	55

96	76	100	102	58	66	78	53	58	51
65	60	66	72	76	49	75	76	63	78
54	57	91	72	82	59	63	76	73	60
53	75	79	78	76	70	64	53	44	59
55	43	75	56	70	84	65	80

380	321	366	356	283	349
402	423	356	410	329	399
350	384	316	272	345	360
431	455

96	76	100	102	58	66	78	53	58	51
65	60	66	72	76	49	75	76	63	78
54	57	91	72	82	59	63	76	73	60
53	75	79	78	76	70	64	53	44	59
55	43	75	56	70	84	65	80

380	321	366	356	283	349
402	423	356	410	329	399
350	384	316	272	345	360
431	455