Below are percentages forannual sales growthandnet sales attributed to loyalty card usageat 74 Noodles & Company restaurants.

Annual Sales Growth (px;) and Loyalty Card Usage (px; of Net Sales)

(n= 74 restaurants)StoreGrowth%Loyalty%StoreGrowth%Loyalty%1-7.32.7387.51.92-6.52.7397.52.43-6.31.8407.51.54-4.92.0417.72.65-3.92.7427.82.16-2.02.4437.81.37-1.71.6448.11.38-0.61.7458.42.59-0.51.7468.62.010-0.51.9478.70.5110.41.4488.92.3120.62.3498.92.4130.62.5509.22.5140.72.5519.41.6150.82.35210.62.5161.52.35310.61.3171.72.25410.72.5182.02.05510.91.7194.10.85611.02.2204.51.45711.01.3215.02.55811.40.6225.02.55911.91.8235.52.76012.02.1245.61.96113.22.5256.01.96213.52.5266.02.36314.11.7276.11.76414.62.0286.31.96514.81.7296.42.06615.11.6306.41.36715.60.8316.82.16817.72.1327.11.66918.22.1337.12.07019.01.9347.11.77119.31.5357.11.27224.21.2367.21.57325.00.7377.22.37426.31.6

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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.)

r

(c-1)To test the correlation coefficient for significance at= 0.025, fill in the following.(Use the rounded value of the correlation coefficient from part b in all calculations. For final answers, roundt_calcto 3 decimal places and thep-value to 4 decimal places. Negative values should be indicated by a minus sign.)t_calcp-value