Noodles & Company Sales Growth and Loyalty Card Sales (n = 74 restaurants)                      Annual Sales Growth (%)  Loyalty Card % of Net Sales                            Restaurant   Growth%  Loyalty%             1 -8.3 2.1   2 -4.0 2.5   3 -3.9 1.7   4 -3.4 2.1   5 -3.3 2.5   6 -1.9 3.0   7 -0.8 2.3   8 -0.4 2.3   9 -0.2 2.2   10 -0.2 2.3   11 0.5 2.1           12 0.6 2.5           13 0.8 2.0   Source: Noodles & Company   14 1.9 2.0           15 2.0 2.0           16 2.1 2.6           17 2.8 2.2           18 2.9 2.1           19 4.0 1.9           20 4.0 2.2           21 4.0 0.7           22 4.0 2.0           23 4.2 1.8           24 4.6 2.1           25 5.1 2.5           26 5.1 2.6           27 5.5 2.0           28 5.9 2.0           29 5.9 1.4           30 6.0 2.0           31 6.1 2.1           32 6.1 2.1           33 6.1 2.7           34 6.3 2.0           35 6.6 2.0           36 6.9 1.6           37 6.9 1.9           38 7.1 1.6           39 7.4 1.8           40 7.7 2.2           41 7.9 2.2           42 8.1 2.8           43 8.3 2.4           44 8.5 3.1           45 8.6 2.2           46 8.7 1.3           47 8.8 1.8           48 8.8 2.5           49 8.9 1.9           50 9.1 2.0           51 9.5 2.4           52 10.2 2.2           53 10.7 2.2           54 11.0 0.3           55 11.3 1.9           56 11.4 1.9           57 11.5 2.2           58 11.7 2.6           59 11.8 2.2           60 11.9 2.1           61 12.5 2.0           62 12.8 0.9           63 13.8 1.1           64 14.1 3.4           65 14.2 1.2           66 14.6 2.1           67 14.9 0.9           68 15.4 2.2           69 16.2 1.7           70 17.2 2.4           71 18.4 2.8           72 20.8 1.1           73 25.5 0.6           74 28.8 1.8         Find the correlation coefficient. Round to 3 decimal places

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.3: Arithmetic Sequences And Series
Problem 39E
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  Noodles & Company Sales Growth and Loyalty Card Sales (n = 74 restaurants)
               
     Annual Sales Growth (%)  Loyalty Card % of Net Sales        
               
   Restaurant   Growth%  Loyalty%
 
     
 
  1 -8.3 2.1
  2 -4.0 2.5
  3 -3.9 1.7
  4 -3.4 2.1
  5 -3.3 2.5
  6 -1.9 3.0
  7 -0.8 2.3
  8 -0.4 2.3
  9 -0.2 2.2
  10 -0.2 2.3
  11 0.5 2.1        
  12 0.6 2.5        
  13 0.8 2.0   Source: Noodles & Company
  14 1.9 2.0        
  15 2.0 2.0        
  16 2.1 2.6        
  17 2.8 2.2        
  18 2.9 2.1        
  19 4.0 1.9        
  20 4.0 2.2        
  21 4.0 0.7        
  22 4.0 2.0        
  23 4.2 1.8        
  24 4.6 2.1        
  25 5.1 2.5        
  26 5.1 2.6        
  27 5.5 2.0        
  28 5.9 2.0        
  29 5.9 1.4        
  30 6.0 2.0        
  31 6.1 2.1        
  32 6.1 2.1        
  33 6.1 2.7        
  34 6.3 2.0        
  35 6.6 2.0        
  36 6.9 1.6        
  37 6.9 1.9        
  38 7.1 1.6        
  39 7.4 1.8        
  40 7.7 2.2        
  41 7.9 2.2        
  42 8.1 2.8        
  43 8.3 2.4        
  44 8.5 3.1        
  45 8.6 2.2        
  46 8.7 1.3        
  47 8.8 1.8        
  48 8.8 2.5        
  49 8.9 1.9        
  50 9.1 2.0        
  51 9.5 2.4        
  52 10.2 2.2        
  53 10.7 2.2        
  54 11.0 0.3        
  55 11.3 1.9        
  56 11.4 1.9        
  57 11.5 2.2        
  58 11.7 2.6        
  59 11.8 2.2        
  60 11.9 2.1        
  61 12.5 2.0        
  62 12.8 0.9        
  63 13.8 1.1        
  64 14.1 3.4        
  65 14.2 1.2        
  66 14.6 2.1        
  67 14.9 0.9        
  68 15.4 2.2        
  69 16.2 1.7        
  70 17.2 2.4        
  71 18.4 2.8        
  72 20.8 1.1        
  73 25.5 0.6        
  74 28.8 1.8        

Find the correlation coefficient. Round to 3 decimal places

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