Please use R program do it! area acres.soy bushels.soy 1 1127 124900 2 1231 9570

Question

Please use R program do it!

area acres.soy bushels.soy
1 1127 124900
2 1231 95700
3 1370 27846
4 3126 90000
5 879 82300
1 1819 97200
2 7362 456400
3 6697 311376
4 3145 166680
5 7502 523100
1 2692 133800
2 2876 91700
3 2647 108342
4 11126 728160
5 14401 831000
1 1625 171900
2 3310 209800
3 11616 469170
4 4992 384960
5 2354 174400
1 9079 567500
2 12418 723700
3 6359 281424
4 3892 322320
5 7869 503500
1 628 14000
2 11447 760300
3 2657 97578
4 6199 496200
5 4608 278500

Suppose there are five soy-producing areas in the US. Measurements from a stratified random sample of soy farms are given in soy.txt, where six farms per area are taken We know that there are 600 farms in area 1, 400 farms in area 2, 120 farms in area 3, 1280 farms in area 4, and 100 farms in area 5. The farmers were asked two questions of the 2016 season: how many acres do they have planted with soy, and how many bushels of soy did they harvest and sell. Estimate the ratio of the number of bushel:s of soy produced and sold to the number of acres (average production per acre), using the separate ratio estimator

Explanation / Answer

acres.soy

> sum(1127,1231,1370,3126,879)
[1] 7733

> sum(1819,7362,6697,3145,7502)
[1] 26525

> sum(2692,2876,2647,11126,14401)
[1] 33742

> sum(1625,11616,3310,492,2354)
[1] 19397

> sum(9079,12418,6359,3892,7869)
[1] 39617

> sum(628,11447,2657,6199,4608)
[1] 25539

bushels.soy

> sum(124900,95700,27846,82300,90000)
[1] 420746

> sum(97200,456400,311376,166680,523100)
[1] 1554756

> sum(133800,91700,108342,728160,831000)
[1] 1893002

> sum(171900,209800,469170,384960,174400)
[1] 1410230
> sum(567500,723700,281424,322320,503500)
[1] 2398444
> sum(14000,760300,97578,496200,278500)
[1] 1646578

Now number of bushels of soy produced / No. of acres

we get

No. of acres =

> sum(7733,26525,33742,19397,39617,25539)
[1] 152553

No. of soy brushels =

> sum(420746,1554756,1893002,1410230,2398444,1646578,152553)
[1] 9476309

ratio =

>(9476309/152553)
[1] 62.11814

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