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In: Statistics and Probability

A realtor studies the relationship between the size of a house (in square feet) and the...

A realtor studies the relationship between the size of a house (in square feet) and the property taxes (in $) owed by the owner. The table below shows a portion of the data for 20 homes in a suburb 60 miles outside of New York City. [You may find it useful to reference the t table.]

Property Taxes Size
21859 2454
17451 2442
18270 1886
15603 1089
43934 5673
33682 2503
15285 2285
16712 1984
18287 2014
16751 1380
15183 1354
36049 3002
31097 2845
42182 3333
14392 1541
38947 4084
25363 4032
22969 2402
16179 3512
29262 2830

a-1. Calculate the sample correlation coefficient rxy. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

Solutions

Expert Solution

Property Taxes X   Size Y X * Y
21859 2454 53641986 477815881 6022116
17451 2442 42615342 304537401 5963364
18270 1886 34457220 333792900 3556996
15603 1089 16991667 243453609 1185921
43934 5673 249237582 1930196356 32182929
33682 2503 84306046 1134477124 6265009
15285 2285 34926225 233631225 5221225
16712 1984 33156608 279290944 3936256
18287 2014 36830018 334414369 4056196
16751 1380 23116380 280596001 1904400
15183 1354 20557782 230523489 1833316
36049 3002 108219098 1299530401 9012004
31097 2845 88470965 967023409 8094025
42182 3333 140592606 1779321124 11108889
14392 1541 22178072 207129664 2374681
38947 4084 159059548 1516868809 16679056
25363 4032 102263616 643281769 16257024
22969 2402 55171538 527574961 5769604
16179 3512 56820648 261760041 12334144
29262 2830 82811460 856264644 8008900
Total 489457 52645 1445424407 13841484121 161766055

Sample correlation coefficient

orchestra answered 3 years ago
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