Toxic waste (Ibs per (1000 pop.) Children Violent crime rate Juvenile Unemploy. rate (%) poverty rate (%) Infant mortality rate (per 1000 live births) arrest City (per 1000 pop.) rate (%) Scottsdale, AZ Escondido, CA 2.5 6.5 0.33 8.37 6.6 16.4 0.89 63 6.64 Fontana, CA 7.6 14.1 15 2.45 12160 8.74 Fremont, CA 4.0 4.7 1.12 12700 4.84 Fresno, CA 12.7 36.6 15 1.10 223 10.07 Long Beach, CA. Modesto, CA Norwalk, CA 7.3 26.9 13 0.86 3297 7.96 13.7 19.5 0.95 1070 8.59 7.1 11.1 11 1.68 7.48 Oakland, CA Orange, CA Thousand Oaks, CA Torrance, CA West Covina, CA 30.1 10.3 4.3 22 2101 9.39 6.27 9.0 4.9 6.2 4.2 1.10 1.42 1.82 1.32 19963 6.18 6.5 26672 18939 7.13 5.3 9.9 2.22 7.48 Bridgeport, CT Hartford, CT 9.3 29.0 12 0.91 10569 13.06 11.0 43.6 21 1.12 16 14.97 Waterbury, CT Cedar Rapids, IA 7.6 20.6 0.50 57223 8.92 3.0 12.1 0.16 94171 8.63 Rockford, IL Ann Arbor, MI Flint, MI Warren, MI Independence, MO Billings, MT Greensboro, NC Winston Salem, NC Lincoln, NE 5.9 20.1 13 0.81 56845 10.41 2.3 8.3 1.16 558 7.27 60466 26834 31171 11.8 44.3 28 0.97 15.94 5.7 10.8 9. 0.23 8.81 4.1 14.6 6. 0.61 6.47 0.08 4.7 3.5 15.4 6271 7.18 15.3 11 0.83 15338 10.64 4.3 23.1 15 0.66 88205 15.31 2.4 10.9 0.54 25672 8.15 Jersey City, NJ Albany, NY Buffalo, NY 11.5 29.7 19 3.72 1434 12.42 5.9 25.7 12 1.20 11.35 8.8 38.5 20 1.02 13926 14.13 Toxic waste (Ibs per (1000 pop.) Children Violent crime rate Juvenile Unemploy. rate (%) poverty rate (%) Infant mortality rate (per 1000 live births) arrest City (per 1000 pop.) rate (%) Syracuse, NY Columbus, OH Okla City. OK 7.4 3.4 4.1 32.8 24.0 9. 2.36 0.66 0.79 13556 81157 12.75 10 10.64 22.6 13 13762 11.22 Allentown, PA 7.1 21.7 1.46 4175 7.73 14.34 Philadelphia, PA Providence, RI Sioux Falls, SD Memphis, TN Amarillo, TX Austin, TX 7.6 30.0 14 2.11 7094 8.6 34.5 0.57 23241 9.18 2.1 9.3 1.09 7373 29178 22428 8.70 6.0 3.9 34.7 22.5 18 8. 0.71 16.49 12.31 0.66 3.3 21.1 8625 5720 0.96 5.94 Grand Prairie, TX 4.8 13.9 6. 1.05 7.94 Laredo, TX Lubbock, TX 15.0 46.2 0.86 11572 6.73 4.1 22.7 10 0.67 1035 7.96 Mesquite, TX Pasadena, TX San Antonio, TX 3.8 9.9 1.01 3230 7.94 6.4 18.1 1.07 707010 6.37 5.0 4.5 32.3 10.7 0.24 0.62 3671 7.23 8.32 10.04 Alexandria, VA Chesapeake, VA Spokane, WA Charleston, WV Casper, WY 6. 144 4.1 12.9 0.68 1025 6.1 21.7 8. 0.67 11523 6.92 6.0 28.8 12 0.42 239 7.37 5.2 15.2 3. 0.03 3862 9.01

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Concept explainers
Question

Consider a multiple linear regression relating the response variable, y, to three predictor variables, x1, x2, and x3.

a. Find the number of possible regression equations than involve subsets of the three predictor variables.

b. List explicitly the possible subsets of the three predictor variables.

Toxic waste
(Ibs per
(1000 pop.)
Children
Violent
crime rate
Juvenile
Unemploy.
rate (%)
poverty
rate (%)
Infant mortality rate
(per 1000 live births)
arrest
City
(per 1000 pop.)
rate (%)
Scottsdale, AZ
Escondido, CA
2.5
6.5
0.33
8.37
6.6
16.4
0.89
63
6.64
Fontana, CA
7.6
14.1
15
2.45
12160
8.74
Fremont, CA
4.0
4.7
1.12
12700
4.84
Fresno, CA
12.7
36.6
15
1.10
223
10.07
Long Beach, CA.
Modesto, CA
Norwalk, CA
7.3
26.9
13
0.86
3297
7.96
13.7
19.5
0.95
1070
8.59
7.1
11.1
11
1.68
7.48
Oakland, CA
Orange, CA
Thousand Oaks, CA
Torrance, CA
West Covina, CA
30.1
10.3
4.3
22
2101
9.39
6.27
9.0
4.9
6.2
4.2
1.10
1.42
1.82
1.32
19963
6.18
6.5
26672
18939
7.13
5.3
9.9
2.22
7.48
Bridgeport, CT
Hartford, CT
9.3
29.0
12
0.91
10569
13.06
11.0
43.6
21
1.12
16
14.97
Waterbury, CT
Cedar Rapids, IA
7.6
20.6
0.50
57223
8.92
3.0
12.1
0.16
94171
8.63
Rockford, IL
Ann Arbor, MI
Flint, MI
Warren, MI
Independence, MO
Billings, MT
Greensboro, NC
Winston Salem, NC
Lincoln, NE
5.9
20.1
13
0.81
56845
10.41
2.3
8.3
1.16
558
7.27
60466
26834
31171
11.8
44.3
28
0.97
15.94
5.7
10.8
9.
0.23
8.81
4.1
14.6
6.
0.61
6.47
0.08
4.7
3.5
15.4
6271
7.18
15.3
11
0.83
15338
10.64
4.3
23.1
15
0.66
88205
15.31
2.4
10.9
0.54
25672
8.15
Jersey City, NJ
Albany, NY
Buffalo, NY
11.5
29.7
19
3.72
1434
12.42
5.9
25.7
12
1.20
11.35
8.8
38.5
20
1.02
13926
14.13
Transcribed Image Text:Toxic waste (Ibs per (1000 pop.) Children Violent crime rate Juvenile Unemploy. rate (%) poverty rate (%) Infant mortality rate (per 1000 live births) arrest City (per 1000 pop.) rate (%) Scottsdale, AZ Escondido, CA 2.5 6.5 0.33 8.37 6.6 16.4 0.89 63 6.64 Fontana, CA 7.6 14.1 15 2.45 12160 8.74 Fremont, CA 4.0 4.7 1.12 12700 4.84 Fresno, CA 12.7 36.6 15 1.10 223 10.07 Long Beach, CA. Modesto, CA Norwalk, CA 7.3 26.9 13 0.86 3297 7.96 13.7 19.5 0.95 1070 8.59 7.1 11.1 11 1.68 7.48 Oakland, CA Orange, CA Thousand Oaks, CA Torrance, CA West Covina, CA 30.1 10.3 4.3 22 2101 9.39 6.27 9.0 4.9 6.2 4.2 1.10 1.42 1.82 1.32 19963 6.18 6.5 26672 18939 7.13 5.3 9.9 2.22 7.48 Bridgeport, CT Hartford, CT 9.3 29.0 12 0.91 10569 13.06 11.0 43.6 21 1.12 16 14.97 Waterbury, CT Cedar Rapids, IA 7.6 20.6 0.50 57223 8.92 3.0 12.1 0.16 94171 8.63 Rockford, IL Ann Arbor, MI Flint, MI Warren, MI Independence, MO Billings, MT Greensboro, NC Winston Salem, NC Lincoln, NE 5.9 20.1 13 0.81 56845 10.41 2.3 8.3 1.16 558 7.27 60466 26834 31171 11.8 44.3 28 0.97 15.94 5.7 10.8 9. 0.23 8.81 4.1 14.6 6. 0.61 6.47 0.08 4.7 3.5 15.4 6271 7.18 15.3 11 0.83 15338 10.64 4.3 23.1 15 0.66 88205 15.31 2.4 10.9 0.54 25672 8.15 Jersey City, NJ Albany, NY Buffalo, NY 11.5 29.7 19 3.72 1434 12.42 5.9 25.7 12 1.20 11.35 8.8 38.5 20 1.02 13926 14.13
Toxic waste
(Ibs per
(1000 pop.)
Children
Violent
crime rate
Juvenile
Unemploy.
rate (%)
poverty
rate (%)
Infant mortality rate
(per 1000 live births)
arrest
City
(per 1000 pop.) rate (%)
Syracuse, NY
Columbus, OH
Okla City. OK
7.4
3.4
4.1
32.8
24.0
9.
2.36
0.66
0.79
13556
81157
12.75
10
10.64
22.6
13
13762
11.22
Allentown, PA
7.1
21.7
1.46
4175
7.73
14.34
Philadelphia, PA
Providence, RI
Sioux Falls, SD
Memphis, TN
Amarillo, TX
Austin, TX
7.6
30.0
14
2.11
7094
8.6
34.5
0.57
23241
9.18
2.1
9.3
1.09
7373
29178
22428
8.70
6.0
3.9
34.7
22.5
18
8.
0.71
16.49
12.31
0.66
3.3
21.1
8625
5720
0.96
5.94
Grand Prairie, TX
4.8
13.9
6.
1.05
7.94
Laredo, TX
Lubbock, TX
15.0
46.2
0.86
11572
6.73
4.1
22.7
10
0.67
1035
7.96
Mesquite, TX
Pasadena, TX
San Antonio, TX
3.8
9.9
1.01
3230
7.94
6.4
18.1
1.07
707010
6.37
5.0
4.5
32.3
10.7
0.24
0.62
3671
7.23
8.32
10.04
Alexandria, VA
Chesapeake, VA
Spokane, WA
Charleston, WV
Casper, WY
6.
144
4.1
12.9
0.68
1025
6.1
21.7
8.
0.67
11523
6.92
6.0
28.8
12
0.42
239
7.37
5.2
15.2
3.
0.03
3862
9.01
Transcribed Image Text:Toxic waste (Ibs per (1000 pop.) Children Violent crime rate Juvenile Unemploy. rate (%) poverty rate (%) Infant mortality rate (per 1000 live births) arrest City (per 1000 pop.) rate (%) Syracuse, NY Columbus, OH Okla City. OK 7.4 3.4 4.1 32.8 24.0 9. 2.36 0.66 0.79 13556 81157 12.75 10 10.64 22.6 13 13762 11.22 Allentown, PA 7.1 21.7 1.46 4175 7.73 14.34 Philadelphia, PA Providence, RI Sioux Falls, SD Memphis, TN Amarillo, TX Austin, TX 7.6 30.0 14 2.11 7094 8.6 34.5 0.57 23241 9.18 2.1 9.3 1.09 7373 29178 22428 8.70 6.0 3.9 34.7 22.5 18 8. 0.71 16.49 12.31 0.66 3.3 21.1 8625 5720 0.96 5.94 Grand Prairie, TX 4.8 13.9 6. 1.05 7.94 Laredo, TX Lubbock, TX 15.0 46.2 0.86 11572 6.73 4.1 22.7 10 0.67 1035 7.96 Mesquite, TX Pasadena, TX San Antonio, TX 3.8 9.9 1.01 3230 7.94 6.4 18.1 1.07 707010 6.37 5.0 4.5 32.3 10.7 0.24 0.62 3671 7.23 8.32 10.04 Alexandria, VA Chesapeake, VA Spokane, WA Charleston, WV Casper, WY 6. 144 4.1 12.9 0.68 1025 6.1 21.7 8. 0.67 11523 6.92 6.0 28.8 12 0.42 239 7.37 5.2 15.2 3. 0.03 3862 9.01
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