In: Statistics and Probability
DO NOT ANSWER IF YOU ARE UNSKILLED IN THIS AREA! THE DATA CHART IS CORRECT & COMPLETE!
Exercise 14-9 Algo
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 |
21870 | 2467 |
17456 | 2493 |
18105 | 1876 |
15685 | 1055 |
43905 | 5603 |
33687 | 2518 |
15266 | 2257 |
16800 | 1989 |
18274 | 2025 |
16798 | 1343 |
15181 | 1371 |
36065 | 3003 |
31060 | 2816 |
42186 | 3362 |
14359 | 1544 |
38917 | 4064 |
25393 | 4083 |
22953 | 2469 |
16184 | 3587 |
29268 | 2860 |
Property Taxes | Size | ||||
21,870 | 2,467 | ||||
17,456 | 2,493 | ||||
29,268 | 2,493 |
a-1. Calculate the sample correlation coefficient rxy. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
a-2. Interpret rxy.
c-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
|
Property Taxes (X) | Size (Y) | X * Y | |||
21870 | 2467 | 53953290 | 4.78E+08 | 6086089 | |
17456 | 2493 | 43517808 | 3.05E+08 | 6215049 | |
18105 | 1876 | 33964980 | 3.28E+08 | 3519376 | |
15685 | 1055 | 16547675 | 2.46E+08 | 1113025 | |
43905 | 5603 | 2.46E+08 | 1.93E+09 | 31393609 | |
33687 | 2518 | 84823866 | 1.13E+09 | 6340324 | |
15266 | 2257 | 34455362 | 2.33E+08 | 5094049 | |
16800 | 1989 | 33415200 | 2.82E+08 | 3956121 | |
18274 | 2025 | 37004850 | 3.34E+08 | 4100625 | |
16798 | 1343 | 22559714 | 2.82E+08 | 1803649 | |
15181 | 1371 | 20813151 | 2.3E+08 | 1879641 | |
36065 | 3003 | 1.08E+08 | 1.3E+09 | 9018009 | |
31060 | 2816 | 87464960 | 9.65E+08 | 7929856 | |
42186 | 3362 | 1.42E+08 | 1.78E+09 | 11303044 | |
14359 | 1544 | 22170296 | 2.06E+08 | 2383936 | |
38917 | 4064 | 1.58E+08 | 1.51E+09 | 16516096 | |
25393 | 4083 | 1.04E+08 | 6.45E+08 | 16670889 | |
22953 | 2469 | 56670957 | 5.27E+08 | 6095961 | |
16184 | 3587 | 58052008 | 2.62E+08 | 12866569 | |
29268 | 2860 | 83706480 | 8.57E+08 | 8179600 | |
Total | 489412 | 52785 | 1.45E+09 | 1.38E+10 | 1.62E+08 |
There is positive and moderate relationship between two variables.
Test Statistic :-
t = 4.792