Below are percentages for annual sales growth andnet 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		-6.6				1.9			38			7.4				1.2
2		-6.2				2.3			39			7.5				1.7
3		-6.1				2.2			40			7.5				2.0
4		-5.9				2.0			41			7.5				1.4
5		-3.8				2.3			42			7.6				1.2
6		-1.9				1.7			43			7.6				1.9
7		-1.9				1.9			44			7.9				1.9
8		-1.8				1.3			45			8.1				1.7
9		-0.9				1.6			46			8.3				2.7
10		-0.5				2.3			47			8.7				0.7
11		0.4				1.9			48			8.9				2.0
12		0.4				1.4			49			8.9				1.3
13		0.6				2.3			50			8.9				2.2
14		0.8				2.2			51			9.2				1.7
15		0.8				2.0			52			10.8				1.8
16		1.0				1.6			53			10.9				1.5
17		1.8				1.3			54			10.9				1.6
18		2.0				2.4			55			11.2				2.5
19		4.0				0.7			56			11.2				2.4
20		4.2				1.4			57			11.4				1.3
21		4.3				2.4			58			11.6				0.6
22		4.3				1.2			59			11.9				2.4
23		4.4				2.5			60			11.9				1.3
24		4.6				2.7			61			13.0				1.5
25		5.0				1.5			62			14.7				1.8
26		5.2				1.7			63			14.8				2.0
27		5.3				1.5			64			15.4				2.4
28		5.7				1.9			65			15.8				1.3
29		5.8				2.5			66			17.6				2.2
30		6.0				1.8			67			17.7				0.5
31		6.4				2.2			68			18.1				1.9
32		6.6				1.5			69			18.3				1.6
33		6.6				2.0			70			18.4				2.2
34		6.7				1.4			71			21.4				1.7
35		6.8				2.0			72			23.8				1.7
36		7.2				2.0			73			24.2				0.6
37		7.3				2.3			74			25.6				2.0

(b) Find the correlation coefficient.(Round your answer to 3 decimal places. A negative valueshould be indicated by a minus sign.)
  
r          

(c-1) To test the correlation coefficient forsignificance at α = 0.1, fill in the following.(Use the rounded value of the correlationcoefficient from part b in all calculations. For final answers,round t_calc to 3 decimal places and thep-value to 4 decimal places. Negative values should beindicated by a minus sign.)

tcalc
p-value

(c-2) There is no significant correlation.
  

• False

• True

(d) Does it appear that increased loyalty cardusage is associated with decreased sales growth?
  

• Yes

• No

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