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)
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
9	-0.4	2.1	46	8.7	2.2
10	-0.3	2.4	47	9.1	0.8
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
22	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.)

(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, roundt_calcto 3 decimal places and thep-value to 4 decimal places. Negative values should be indicated by a minus sign.)

(c-2)There is no significant correlation.

multiple choice 1

• False
• True

(d)Does it appear that increased loyalty card usage is associated with decreased sales growth? multiple choice 2

• Yes
• No

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