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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 ($)

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

image text in transcribedimage text in transcribed
Annual Sales Growth ($) and Loyalty Card Usage (* of Net Sales) (n = 74 restaurants) Store Growth* Loyalty* Store Growth Loyalty* -8.3 2.1 38 7.1 1.6 -4.0 2.5 39 7.4 1.8 -3.9 1.7 40 7.7 2.2 -3.4 2.1 41 7.9 2.2 -3.3 2.5 42 8.1 2.8 ODoyoubwNg -1.9 3.0 43 8.3 2.4 -0.8 2.3 44 8.5 3.1 -0.4 2.3 45 8.6 2.2 -0.2 2.2 46 8.7 1.3 -0.2 2.3 47 8.8 1.8 0.5 2.1 48 8.8 2.5 0.6 2.5 49 8.9 1.9 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 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 6.6 2.0 72 20.8 1.1 W W 6.9 1.6 73 25.5 0.6 6.9 1. 74 28.8 1.8lb} Find the correlation coefficient. {Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) lc-1J To test the correlation coefficient for significance at d = 0.05, ll in the following. [Use the rounded value of the correlation coefcient from part b in all calculations. For nal answers, round talk to 3 decimal places and the p-value to 4 decimal places. Negative values should be indicated by a minus sign.) fcalc p-value

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