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

Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales)

(n= 74 restaurants)

Store Growth% Loyalty% Store Growth% Loyalty%

1 -8.3 2.1 38 7.1 1.6

2 -4.0 2.5 39 7.4 1.8

3 -3.9 1.7 40 7.7 2.2

4 -3.4 2.1 41 7.9 2.2

5 -3.3 2.5 42 8.1 2.8

6 -1.9 3.0 43 8.3 2.4

7 -0.8 2.3 44 8.5 3.1

8 -0.4 2.3 45 8.6 2.2

9 -0.2 2.2 46 8.7 1.3

10 -0.2 2.3 47 8.8 1.8

11 0.5 2.1 48 8.8 2.5

12 0.6 2.5 49 8.9 1.9

13 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

30 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

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.)

r___________

(c-1)To test the correlation coefficient for significance at = 0.05, fill in the following.(Use the rounded value of the correlation coefficient from part b in all calculations. For final answers, roundtcalcto 3 decimal places and thep-value to 4 decimal places. Negative values should be indicated by a minus sign.)

tcalc ____________

p-value ____________