Question

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. LOADING... Click the icon to view the data table and scatterplot. ​a) Describe the association between the cost of living indices in 2007 and 2006. Choose the correct answer below. A. The association between the cost of living indices in 2007 and 2006 is​ negative, linear, and strong. B. The association between the cost of living indices in 2007 and 2006 is​ negative, linear, and weak. C. The association between the cost of living indices in 2007 and 2006 is​ positive, linear, and strong. Your answer is correct. D. The association between the cost of living indices in 2007 and 2006 is​ positive, curved, and strong. E. The association between the cost of living indices in 2007 and 2006 is​ positive, linear, and weak. F. There is no association between the cost of living indices in 2007 and 2006. ​b) The Upper R squared for the regression equation is 0.847 . Interpret the value of Upper R squared . Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a​ decimal.) A. The value of Upper R squared equalsnothing ​% indicates the percentage of the variability in cost of living in 2006 that can be explained by variability in cost of living in 2007. B. The value of Upper R squared equals84.7 ​% indicates the percentage of the variability in cost of living in 2007 that can be explained by variability in cost of living in 2006. Your answer is correct. C. The value of Upper R squared equalsnothing ​% indicates the percentage of the variability in cost of living in 2006 that cannot be explained by variability in cost of living in 2007. D. The value of Upper R squared equalsnothing ​% indicates the percentage of the variability in cost of living in 2007 that cannot be explained by variability in cost of living in 2006. ​c) Find the correlation. The correlation coefficient is . 920 . ​(Round to three decimal places as​ needed.) ​d) Using the data​ provided, find the least squares fit of the 2007 index to the 2006 index. ModifyingAbove 2007 Index with caret equals3.605plusleft parenthesis nothing right parenthesis times 2006 Index ​(Round to three decimal places as​ needed.) ​e) Predict the 2007 cost of living index of city 2 and find its residual. The predicted 2007 cost of living index of city 2 is nothing . ​(Round to one decimal place 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

Answer 1