Question
Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. Annual Sales Growth (px;)
Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. Annual Sales Growth (px;) and Loyalty Card Usage (px; of Net Sales) (n = 74 restaurants) Store Growth % Loyalty% Store Growth% Loyalty% 1 -7.8 0.6 38 7.2 1.4 2 -6.9 2.1 39 7.3 1.5 3 -6.8 2.7 40 7.7 1.3 4 -6.0 2.7 41 8.0 1.9 5 -4.6 2.4 42 8.1 2.6 6 -1.8 2.7 43 8.3 2.4 7 -1.8 1.8 44 8.4 1.7 8 -0.5 1.6 45 8.4 2.3 -0.4 2.1 46 8.7 2.2 10 -0.3 2.4 47 9.1 0.8 EN2222222222222mmmmmm 11 0.8 1.8 48 9.5 2.1 12 0.9 0.9 49 9.5 1.7 13 0.9 2.2 50 9.5 2.0 14 0.9 1.2 51 9.5 2.5 15 1.0 2.7 52 10.5 1.9 16 1.6 1.9 53 10.8 2.0 17 1.7 1.4 54 10.9 2.3 18 1.8 1.5 55 11.2 0.7 19 4.1 0.5 56 11.3 1.3 20 4.1 2.4 57 11.6 1.3 21 4.4 2.7 58 11.6 0.8 4.5 1.3 59 11.8 2.3 23 4.5 1.2 60 11.8 2.7 24 4.8 2.1 61 14.0 1.8 25 4.8 2.1 62 14.5 2.4 26 5.7 2.0 63 14.5 1.6 27 5.8 1.5 64 15.4 0.9 28 6.3 1.5 65 15.9 1.5 29 6.4 2.3 66 17.2 1.6 30 6.4 2.4 67 17.2 0.8 31 6.4 1.8 68 17.6 1.3 32 6.4 2.7 69 18.9 2.5 33 6.6 2.5 70 18.9 1.3 34 6.7 0.7 71 24.1 1.6 35 6.8 1.7 72 26.4 1.7 36 6.9 2.0 73 27.9 0.5 37 6.9 2.6 74 28.8 1.7 Click here for the Excel Data File (b) Find the correlation coefficient. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) r (c-1) To test the correlation coefficient for significance at a = 0.05, fill in the following. (Use the rounded value of the correlation coefficient from part b in all calculations. For final answers, round tcalc to 3 decimal places and the p- value to 4 decimal places. Negative values should be indicated by a minus sign.) tcalc p-value (c-2) There is no significant correlation. FALSE TRUE (d) Does it appear that increased loyalty card usage is associated with decreased sales growth? Yes No
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