Below are percentages for annual sales growth and net sales attributed to loyaity card usage at...

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Below are percentages for annual sales growth and net sales attributed to loyaity card usage at 74 Noodles & Company restaurants. Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales) (n = 74 restaurants) Loyalty 2.1 Store 38 Growth% Growth% Loyalty% 1.6 Store 1 -8.3 7.1 2 -4.0 2.5 39 7.4 1.8 3 -3.9 1.7 40 7.7 2.2 2.1 2.5 -3.4 41 7.9 2.2 -3.3 42 8.1 2.8 6. -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 1.8 -e.2 2.3 2.1 10 47 8.8 11 0.5 48 8.8 2.5 12 0.6 2.5 49 8.9 1.9 13 e.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 2.6 2.2 16 2.1 53 1e.7 2.2 17 2.8 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 2.2 11.5 11.7 21 4.8 e.7 58 2.6 22 4.0 2.0 59 11.8 2.2 23 60 2.1 2.0 4.2 1.8 11.9 2.1 2.5 24 4.6 61 12.5 25 5.1 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 5.9 5.9 6.0 28 2.0 65 14.2 1.2 29 1.4 66 14.6 2.1 30 2.0 67 14.9 0.9 6.1 6.1 31 2.1 68 15.4 2.2 32 2.1 69 16.2 1.7 33 70 17.2 18.4 6.1 2.7 1.4 34 6.3 2.0 71 2.8 35 6.6 6.9 2.0 72 20.8 1.1 36 1.6 73 25.5 0.6 37 6.9 1.9 74 28.8 1.8 BClick 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.) (c-1) To test the correlation coefficient for significance at a = 0.05. fill in the following. (Use the rounded value of the correlation coefficlent from part b In all calculations. For final answers, round fcalc to 3 decimal places and the p-value to 4 decelmal places. Negative values should be Indicated by a mlnus sign.) tcalc p-value (c-2) There is no significant correlation. O True False Below are percentages for annual sales growth and net sales attributed to loyaity card usage at 74 Noodles & Company restaurants. Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales) (n = 74 restaurants) Loyalty 2.1 Store 38 Growth% Growth% Loyalty% 1.6 Store 1 -8.3 7.1 2 -4.0 2.5 39 7.4 1.8 3 -3.9 1.7 40 7.7 2.2 2.1 2.5 -3.4 41 7.9 2.2 -3.3 42 8.1 2.8 6. -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 1.8 -e.2 2.3 2.1 10 47 8.8 11 0.5 48 8.8 2.5 12 0.6 2.5 49 8.9 1.9 13 e.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 2.6 2.2 16 2.1 53 1e.7 2.2 17 2.8 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 2.2 11.5 11.7 21 4.8 e.7 58 2.6 22 4.0 2.0 59 11.8 2.2 23 60 2.1 2.0 4.2 1.8 11.9 2.1 2.5 24 4.6 61 12.5 25 5.1 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 5.9 5.9 6.0 28 2.0 65 14.2 1.2 29 1.4 66 14.6 2.1 30 2.0 67 14.9 0.9 6.1 6.1 31 2.1 68 15.4 2.2 32 2.1 69 16.2 1.7 33 70 17.2 18.4 6.1 2.7 1.4 34 6.3 2.0 71 2.8 35 6.6 6.9 2.0 72 20.8 1.1 36 1.6 73 25.5 0.6 37 6.9 1.9 74 28.8 1.8 BClick 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.) (c-1) To test the correlation coefficient for significance at a = 0.05. fill in the following. (Use the rounded value of the correlation coefficlent from part b In all calculations. For final answers, round fcalc to 3 decimal places and the p-value to 4 decelmal places. Negative values should be Indicated by a mlnus sign.) tcalc p-value (c-2) There is no significant correlation. O True False

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