Sulfur dioxide (SO2) pollution is a known cause for corrosion of exposed steel.  To document this effect in actual conditions, steel weight loss (gm/m3/yr) was measured at 36 locations in a large city, along with the rate at which SO2 was deposited (mg/m2/day).  Obtain an estimate of the correlation between steel loss and sulfur dioxide deposition rate and interpret it. Give a 95% confidence interval for its value.  SO2 Loss 22.6 580 26.1 563 19.1 339 17.2 346 25 623 16.8 420 42.7 951 30.4 794 17.9 461 30.4 757 27.8 573 27.8 656 33 990 14.2 551 37.4 856 16.2 443 27.7 802 22.7 657 21 495 15.8 496 13.7 353 24.7 724 23.7 602 30.7 639 33.5 813 30.2 770 20.1 556 22.8 557 39.9 1001 15.5 432 40.4 940 27.9 687 39.4 919 25.1 590 28.6 640 29.7 702

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Sulfur dioxide (SO2) pollution is a known cause for corrosion of exposed steel.  To document this effect in actual conditions, steel weight loss (gm/m3/yr) was measured at 36 locations in a large city, along with the rate at which SO2 was deposited (mg/m2/day). 

Obtain an estimate of the correlation between steel loss and sulfur dioxide deposition rate and interpret it. Give a 95% confidence interval for its value. 

SO2 Loss
22.6 580
26.1 563
19.1 339
17.2 346
25 623
16.8 420
42.7 951
30.4 794
17.9 461
30.4 757
27.8 573
27.8 656
33 990
14.2 551
37.4 856
16.2 443
27.7 802
22.7 657
21 495
15.8 496
13.7 353
24.7 724
23.7 602
30.7 639
33.5 813
30.2 770
20.1 556
22.8 557
39.9 1001
15.5 432
40.4 940
27.9 687
39.4 919
25.1 590
28.6 640
29.7 702
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