(b) Find the correlation coefficient. (Round your answer to 3 decimal places. A negative value should...
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(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 coefficient from part b in all calculations. For final answers, round tcalc to 3 decimal places and the pvalue to 4 decimal places. Negative values should be indicated by a minus sign.) tcalc p-value Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales) (n = 74 restaurants) Loyalty% GrowthX -8.3 Store Store Growth% Loyalty% 2.1 38 7.1 7.4 7.7 1.6 2 -4.0 2.5 39 1.8 3 -3.9 1.7 40 2.2 4. -3.4 2.1 41 7.9 2.2 -3.3 -1.9 2.5 42 8.1 2.8 6. 3.0 43 8.3 2.4 7. 8.5 3.1 2.2 -0.8 2.3 44 -0.4 2.3 45 8.6 6. -0.2 2.2 46 8.7 1.3 10 47 -0.2 0.5 2.3 2.1 8.8 1.8 2.5 11 48 8.8 12 0.6 2.5 49 8.9 1.9 13 0.8 2.0 50 9.1 2.0 2.0 2.0 14 1.9 51 9.5 2.4 15 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 11.5 11.7 20 4.0 2.2 57 2.2 21 4.0 0.7 58 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 31 6.0 2.0 67 14.9 0.9 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 (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 coefficient from part b in all calculations. For final answers, round tcalc to 3 decimal places and the pvalue to 4 decimal places. Negative values should be indicated by a minus sign.) tcalc p-value Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales) (n = 74 restaurants) Loyalty% GrowthX -8.3 Store Store Growth% Loyalty% 2.1 38 7.1 7.4 7.7 1.6 2 -4.0 2.5 39 1.8 3 -3.9 1.7 40 2.2 4. -3.4 2.1 41 7.9 2.2 -3.3 -1.9 2.5 42 8.1 2.8 6. 3.0 43 8.3 2.4 7. 8.5 3.1 2.2 -0.8 2.3 44 -0.4 2.3 45 8.6 6. -0.2 2.2 46 8.7 1.3 10 47 -0.2 0.5 2.3 2.1 8.8 1.8 2.5 11 48 8.8 12 0.6 2.5 49 8.9 1.9 13 0.8 2.0 50 9.1 2.0 2.0 2.0 14 1.9 51 9.5 2.4 15 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 11.5 11.7 20 4.0 2.2 57 2.2 21 4.0 0.7 58 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 31 6.0 2.0 67 14.9 0.9 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
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