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curator:Tim Erickson
Radiosonde (a weather balloon)

This is real weather balloon data from 1991, a weather balloon ascent in Coffeyville, Kansas, USA. Many more attributes (e.g.,, pressure, humidity, dewpoint, wind speed and direction) come in the data sets with Fathom, but this will get you started.

height is the altitude of the balloon in meters
time is the time since launch in seconds

First predict: how do you think height will depend on time?

Then graph it and see.

Make as simple a function as possible to fit the data and look at a residual plot.

How does the speed change over time? How can you tell from the residual plot?

Can you calculate instantaneous speed? (Sure. Use the prev( ) function!)

(found and downloaded by Tim Erickson, long ago)

height time
227
-33
228
10.2
271
18.4
313
26.2
356
34.4
400
42.9
443
51
487
59.4
531
68.8
575
77.6
620
86.4
664
95.2
709
104
754
112.8
800
121.6
846
130.7
892
140.2
938
149.5
984
159.4
1031
170.2
1078
180.1
1125
189.7
1172
199.2
1220
208.7
1268
218.4
1316
228.3
1365
237.7
1414
247.4
1463
258.4
1512
269.5
1562
278.9
1611
288.4
1661
299.2
1712
309.3
1762
318.8
1813
329.8
1864
342.9
1915
354.3
1967
365
2018
377.6
2070
390.9
2123
404.1
2176
417.2
2229
430.8
2283
444
2336
457.1
2391
470
2445
482.5
2500
496.2
2555
510.6
2611
523.3
2667
534.6
2723
546.2
2780
557.7
2837
569.9
2894
584.4
2951
599.3
3009
614.7
3068
628.3
3126
641.8
3185
657.8
3245
674.2
3305
691.7
3365
709.3
3425
726.1
3486
742.9
3547
759.2
3609
774.4
3671
790.6
3733
807.3
3796
822.8
3859
838.7
3923
854.7
3987
871.8
4051
889
4116
905.6
4182
922.7
4247
938.8
4314
953.4
4380
968.9
4448
985.5
4515
1001.9
4583
1017.5
4652
1034.1
4720
1050.7
4790
1068
4859
1084.8
4930
1101.9
5000
1118.5
5071
1136.4
5143
1154.6
5215
1172.4
5288
1190.6
5361
1209
5435
1227.6
5510
1246.5
5585
1265.1
5660
1284.2
5737
1303.5
5813
1323.5
5891
1343.2
5969
1362.4
6048
1382.2
6128
1402
6208
1421.2
6290
1440.3
6371
1460
6454
1478.8
6537
1498.1
6621
1518.9
6706
1539.3
6791
1560.6
6877
1582
6964
1603.5
7052
1625.2
7141
1647.1
7230
1669.3
7321
1692.7
7412
1716.5
7504
1740.3
7597
1764.6
7690
1788.8
7785
1813.1
7881
1837.7
7978
1861.4
8075
1885.7
8174
1911.3
8274
1936.2
8374
1961.5
8476
1987.5
8580
2013
8684
2035.3
8790
2058.6
8897
2086
9005
2113.6
9114
2141.6
9225
2168.7
9338
2196.5
9451
2225.4
9566
2252.1
9683
2280.5
9801
2306.3
9921
2335.2
10042
2364.1
10166
2391.9
10291
2420.6
10418
2451
10547
2482.5
10679
2514.3
10812
2545.4
10948
2579.4
11086
2613.2
11228
2647
11373
2681.6
11521
2715.8
11673
2749.9
11828
2785.4
11988
2821.3
12151
2860.8
12318
2895.9
12489
2934.7
12663
2974.7
12841
3015.5
13024
3055.4
13210
3097.9
13401
3138.3
13596
3181.2
13797
3226.4
14004
3273.7
14216
3322.5
14436
3371.7
14661
3419.2
14893
3468.2
15134
3522.5
15385
3579.3
15644
3638.1
15915
3698.5
16197
3760.7
16491
3826.5
16799
3893.5
17120
3964.6
17457
4039.7
17814
4113.6
18195
4193.3
18605
4282.7

 

<text form of the data>

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Last updated February 14, 2007
supported by NSF award DMI-0216656