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Table 5 Estimated Logarithmic forecasting models for USA and selected states

From: Forecasting AIDS prevalence in the United States using online search traffic data

 

AIDS

AIDS (search term)

AIDS (illness)

α

β

R 2

α

β

R 2

USA

Prevalence

− 100,000

881,002

0.9695

− 100,000

830,816

0.9844

Diagnoses

16,068

− 20,481

0.8548

14,525

− 15,399

0.8982

Deaths

5859

− 2738

0.9452

5186

− 553.58

0.9524

California

Prevalence

− 11,677

99,283

0.9684

− 10,780

96,113

0.9239

Diagnoses

1670.7

− 1852

0.7151

1733.9

− 1962.9

0.8622

Deaths

559.95

− 168.21

0.942

481.76

87.41

0.7806

Florida

Prevalence

− 17,848

105,055

0.955

− 14,942

97,677

0.9571

Diagnoses

2822.4

− 5025

0.8862

2396.1

− 3962

0.9133

Deaths

970.62

− 961.25

0.8457

828.81

− 610.55

0.8816

Illinois

Prevalence

− 4563

29,922

0.9783

− 4151

29,124

0.9865

Diagnoses

587.39

− 713.99

0.8688

530.2

− 598.58

0.8625

Deaths

207.83

− 107.81

0.8635

187.74

− 67.41

0.8586

Maryland

Prevalence

− 4325

28,920

0.9663

− 3755

26,973

0.9788

Diagnoses

764.14

− 1357.2

0.9226

658.98

− 999.93

0.9223

Deaths

323.92

− 410.32

0.8647

281.24

− 264.71

0.8762

Massachusetts

Prevalence

− 2369

17,052

0.9828

− 2102

16,120

0.9848

Diagnoses

363.09

− 566.12

0.9204

319.15

− 414.72

0.9053

Deaths

92.75

− 19.36

0.8951

81.7

18.84

0.8841

New Jersey

Prevalence

− 2052

24,339

0.9535

− 1771

23,254

0.9361

Diagnoses

633.68

− 928.47

0.8535

555.61

− 618.92

0.8651

Deaths

377.47

− 468.44

0.9657

328.49

− 276.84

0.9642

New York

Prevalence

− 8477

97,596

0.9246

− 7652

94,878

0.9283

Diagnoses

3085.9

− 6020.5

0.9607

2794.8

− 5058.3

0.9709

Deaths

978.44

− 877.45

0.9683

885.23

− 569.63

0.9765