Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales)(n = 74 restaurants)StoreGrowth%Loyalty%StoreGrowth%Loyalty%1−8.32.1387.11.62−4.02.5397.41.83−3.91.7407.72.24−3.42.1417.92.25−3.32.5428.12.86−1.93.0438.32.47−0.82.3448.53.18−0.42.3458.62.29−0.22.2468.71.310−0.22.3478.81.8110.52.1488.82.5120.62.5498.91.9130.82.0509.12.0141.92.0519.52.4152.02.05210.22.2162.12.65310.72.2172.82.25411.00.3182.92.15511.31.9194.01.95611.41.9204.02.25711.52.2214.00.75811.72.6224.02.05911.82.2234.21.86011.92.1244.62.16112.52.0255.12.56212.80.9265.12.66313.81.1275.52.06414.13.4285.92.06514.21.2295.91.46614.62.1306.02.06714.90.9316.12.16815.42.2326.12.16916.21.7336.12.77017.22.4346.32.07118.42.8356.62.07220.81.1366.91.67325.50.6376.91.97428.81.8 (c-1) To test the correlation coefficient for significance at α = 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 p-value to 4 decimal places. Negative values should be indicated by a minus sign.)

Answered: Below are percentages for annual sales…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants.

Store	Growth%	Loyalty%	Store	Growth%	Loyalty%
Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales) (n = 74 restaurants)
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

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

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