Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants.   Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales) (n = 74 restaurants) Store Growth% Loyalty% Store Growth% Loyalty%   1     -8.3     2.1     38     7.1     1.6     2     -4.0     2.5     39     7.4     1.8     3     -3.9     1.7     40     7.7     2.2     4     -3.4     2.1     41     7.9     2.2     5     -3.3     2.5     42     8.1     2.8     6     -1.9     3.0     43     8.3     2.4     7     -0.8     2.3     44     8.5     3.1     8     -0.4     2.3     45     8.6     2.2     9     -0.2     2.2     46     8.7     1.3     10     -0.2     2.3     47     8.8     1.8     11     0.5     2.1     48     8.8     2.5     12     0.6     2.5     49     8.9     1.9     13     0.8     2.0     50     9.1     2.0     14     1.9     2.0     51     9.5     2.4     15     2.0     2.0     52     10.2     2.2     16     2.1     2.6     53     10.7     2.2     17     2.8     2.2     54     11.0     0.3     18     2.9     2.1     55     11.3     1.9     19     4.0     1.9     56     11.4     1.9     20     4.0     2.2     57     11.5     2.2     21     4.0     0.7     58     11.7     2.6     22     4.0     2.0     59     11.8     2.2     23     4.2     1.8     60     11.9     2.1     24     4.6     2.1     61     12.5     2.0     25     5.1     2.5     62     12.8     0.9     26     5.1     2.6     63     13.8     1.1     27     5.5     2.0     64     14.1     3.4     28     5.9     2.0     65     14.2     1.2     29     5.9     1.4     66     14.6     2.1     30     6.0     2.0     67     14.9     0.9     31     6.1     2.1     68     15.4     2.2     32     6.1     2.1     69     16.2     1.7     33     6.1     2.7     70     17.2     2.4     34     6.3     2.0     71     18.4     2.8     35     6.6     2.0     72     20.8     1.1     36     6.9     1.6     73     25.5     0.6     37     6.9     1.9     74     28.8     1.8     Find the correlation coefficient r and t-calc. a=0.05.

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Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants.
 

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

Find the correlation coefficient r and t-calc. a=0.05.

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