Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 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 0.7 38 7.3 1.5 2 -6.9 2.5 39 7.4 1.7 3 -5.1 1.6 40 7.7 2.3 4 -4.7 1.4 41 8.0 2.0 5 -3.8 2.5 42 8.0 1.6 6 -1.7 1.5 43 8.3 1.9 7 -1.7 2.6 44 8.4 2.0 8 -1.6 2.4 45 8.6 2.2 9 -1.1 2.2 46 8.6 1.6 10 -1.0 1.9 47 8.7 0.9 11 0.4 1.2 48 8.9 1.7 12 0.6 0.5 49 9.4 1.6 13 0.6 2.1 50 9.5 1.3 14 1.0 1.3 51 9.5 2.1 15 1.3 2.0 52 10.5 2.6 16 1.7 2.5 53 10.6 2.2 17 1.8 2.7 54 10.8 2.1 18 1.9 2.1 55 10.9 0.7 19 4.0 0.5 56 11.6 1.2 20 4.1 2.6 57 11.6 2.0 21 4.2 1.5 58 11.7 0.9 22 4.3 2.2 59 11.9 2.3 23 4.6 1.9 60 12.0 2.7 24 4.6 1.2 61 13.6 1.2 25 5.0 2.2 62 13.7 1.4 26 5.2 1.3 63 13.7 2.2 27 5.5 2.1 64 14.3 0.7 28 5.6 1.6 65 15.3 2.5 29 5.9 2.7 66 15.9 2.5 30 5.9 1.7 67 17.0 0.6 31 6.2 2.4 68 17.5 1.7 32 6.3 2.5 69 18.4 2.2 33 6.6 1.9 70 18.7 1.7 34 6.6 0.9 71 23.3 1.2 35 6.7 1.8 72 26.2 1.4 36 7.0 2.3 73 26.8 0.7 37 7.3 1.9 74 27.4 2.7 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.) r (c-1) To test the correlation coefficient for significance at α = 0.01, 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.) tcalc p-value

Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 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 0.7 38 7.3 1.5 2 -6.9 2.5 39 7.4 1.7 3 -5.1 1.6 40 7.7 2.3 4 -4.7 1.4 41 8.0 2.0 5 -3.8 2.5 42 8.0 1.6 6 -1.7 1.5 43 8.3 1.9 7 -1.7 2.6 44 8.4 2.0 8 -1.6 2.4 45 8.6 2.2 9 -1.1 2.2 46 8.6 1.6 10 -1.0 1.9 47 8.7 0.9 11 0.4 1.2 48 8.9 1.7 12 0.6 0.5 49 9.4 1.6 13 0.6 2.1 50 9.5 1.3 14 1.0 1.3 51 9.5 2.1 15 1.3 2.0 52 10.5 2.6 16 1.7 2.5 53 10.6 2.2 17 1.8 2.7 54 10.8 2.1 18 1.9 2.1 55 10.9 0.7 19 4.0 0.5 56 11.6 1.2 20 4.1 2.6 57 11.6 2.0 21 4.2 1.5 58 11.7 0.9 22 4.3 2.2 59 11.9 2.3 23 4.6 1.9 60 12.0 2.7 24 4.6 1.2 61 13.6 1.2 25 5.0 2.2 62 13.7 1.4 26 5.2 1.3 63 13.7 2.2 27 5.5 2.1 64 14.3 0.7 28 5.6 1.6 65 15.3 2.5 29 5.9 2.7 66 15.9 2.5 30 5.9 1.7 67 17.0 0.6 31 6.2 2.4 68 17.5 1.7 32 6.3 2.5 69 18.4 2.2 33 6.6 1.9 70 18.7 1.7 34 6.6 0.9 71 23.3 1.2 35 6.7 1.8 72 26.2 1.4 36 7.0 2.3 73 26.8 0.7 37 7.3 1.9 74 27.4 2.7 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.) r (c-1) To test the correlation coefficient for significance at α = 0.01, 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.) tcalc p-value

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 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			0.7		38	7.3	1.5
2		-6.9			2.5		39	7.4	1.7
3		-5.1			1.6		40	7.7	2.3
4		-4.7			1.4		41	8.0	2.0
5		-3.8			2.5		42	8.0	1.6
6		-1.7			1.5		43	8.3	1.9
7		-1.7			2.6		44	8.4	2.0
8		-1.6			2.4		45	8.6	2.2
9		-1.1			2.2		46	8.6	1.6
10		-1.0			1.9		47	8.7	0.9
11		0.4			1.2		48	8.9	1.7
12		0.6			0.5		49	9.4	1.6
13		0.6			2.1		50	9.5	1.3
14		1.0			1.3		51	9.5	2.1
15		1.3			2.0		52	10.5	2.6
16		1.7			2.5		53	10.6	2.2
17		1.8			2.7		54	10.8	2.1
18		1.9			2.1		55	10.9	0.7
19		4.0			0.5		56	11.6	1.2
20		4.1			2.6		57	11.6	2.0
21		4.2			1.5		58	11.7	0.9
22		4.3			2.2		59	11.9	2.3
23		4.6			1.9		60	12.0	2.7
24		4.6			1.2		61	13.6	1.2
25		5.0			2.2		62	13.7	1.4
26		5.2			1.3		63	13.7	2.2
27		5.5			2.1		64	14.3	0.7
28		5.6			1.6		65	15.3	2.5
29		5.9			2.7		66	15.9	2.5
30		5.9			1.7		67	17.0	0.6
31		6.2			2.4		68	17.5	1.7
32		6.3			2.5		69	18.4	2.2
33		6.6			1.9		70	18.7	1.7
34		6.6			0.9		71	23.3	1.2
35		6.7			1.8		72	26.2	1.4
36		7.0			2.3		73	26.8	0.7
37		7.3			1.9		74	27.4	2.7

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.)

r

(c-1) To test the correlation coefficient for significance at α = 0.01, 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.)


t_calc
p-value

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.