A particular ranking system determines the cost of living in the most expensive cities in the world as an index. This index scales city X as 100 and expresses the cost of living in other cities as a percentage of the city X cost. For example, in 2007, the cost of living index in city Y was
125.7
,
which means that it was
26
%
higher than city X. The accompanying scatterplot shows the index for 2007 plotted against the 2006 index for
15
cities. Complete parts a through e below.
c) Find the correlation. The correlation coefficient is nothing . (Round to three decimal places as needed.)
| City | Index_2006 | Index_2007 |
| 1 | 117.3 | 125.7 |
| 2 | 121.8 | 122 |
| 3 | 102.3 | 104.3 |
| 4 | 93 | 95.8 |
| 5 | 111.7 | 119.6 |
| 6 | 112.9 | 124.8 |
| 7 | 95.3 | 97.3 |
| 8 | 109.9 | 111.5 |
| 9 | 100.5 | 101.8 |
| 10 | 95.8 | 103.6 |
| 11 | 121.2 | 121.4 |
| 12 | 119.3 | 124.6 |
| 13 | 105.9 | 118.3 |
| 14 | 111.2 | 119.4 |
| 15 | 111.3 | 115.8 |

The above table and graph is
showing the strong positive correlation beween index 2006 and index
2007 i.e. 0.920 and the p-value is 0.000 which is showing the
result is statistically significant.
A particular ranking system determines the cost of living in the most expensive cities in the...