The following data are the revenue and total CEO compensation for 23 large Canad
ID: 3151801 • Letter: T
Question
The following data are the revenue and total CEO compensation for 23 large Canadian companies.
Company......................Revenue.....................Total CEO Compensation
......................................($1,000s).....................($1,000s)
1...................................1,253,706 .....................1,527
2...................................16,439,600 .....................2,113
3 ...................................1,216,910 .....................13,361
4 ...................................8,256,280 .....................3,243
5...................................2,002,279 .....................3,054
6...................................997,063 .....................3,678
7................................... 2,543,100 .....................1,638
8................................... 1,039,804 .....................1,277
9................................... 1,942,468 .....................1,419
10................................... 1,354,052 .....................1,188
11................................... 9,792,000 .....................9,940
12................................... 15,127,000 .....................6,734
13................................... 1,232,190 .....................2,622
14................................... 3,732,117 .....................2,406
15................................... 1,737,753 .....................10,281
16................................... 2,885,900 .....................3,127
17................................... 18,069,000 .....................4,268
18................................... 2,700,000 .....................2,110
19................................... 3,445,400 .....................1,966
20................................... 10,837,704 .....................6,899
21................................... 2,056,235 .....................2,810
22................................... 2,450,022 .....................1,979
23................................... 1,857,760 .....................4,634
Use the data to compute a correlation coefficient, r, to determine the correlation between company revenue and total CEO compensation.
Round your answer to 3 decimal places.
r = _____________ ( ANSWER IS NOT 0.182, 0.183 or 0.184)
Explanation / Answer
21473956
the sum of every column to get:
X=105737047 , Y=92274 , XY=471729230831 , X2=978896707152229 , Y2=606130090
following formula to work out the correlation coefficient.
r =( nXYXY)/ sqrt{[nX2(X)2][nY2(Y)2]} =
(23*471729230831105737047*92274)/sqrt{[23*978896707152229105737047^2]*[23*60613009092274^2]}
r 0.1394
X Y XY XX YY 1253706 1527 1914409062 1571778734436 2331729 16439600 2113 34736874800 270260448160000 4464769 1216910 13361 16259134510 1480869948100 178516321 8256280 3243 26775116040 68166159438400 10517049 2002279 3054 6114960066 4009121193841 9326916 997063 3678 3667197714 994134625969 13527684 2543100 1638 4165597800 6467357610000 2683044 1039804 1277 1327829708 1081192358416 1630729 1942468 1419 2756362092 3773181931024 2013561 1354052 1188 1608613776 1833456818704 1411344 9792000 9940 97332480000 95883264000000 98803600 15127000 6734 101865218000 228826129000000 45346756 1232190 2622 3230802180 1518292196100 6874884 3732117 2406 8979473502 13928697301689 5788836 1737753 10281 17865838593 3019785489009 105698961 2885900 3127 9024209300 8328418810000 9778129 2700000 4268 11523600000 7290000000000 18215824 3445400 2110 7269794000 11870781160000 4452100 10837704 1966 21306926064 117455827991616 3865156 10837704 6899 74769319896 117455827991616 47596201 2056235 2810 5778020350 4228102375225 7896100 2450022 1979 4848593538 6002607800484 3916441 1857760 4634 8608859840 345127221760021473956
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