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Q3. Analyse the two given columns to demonstrate correlation between alliance partnership success and that of partnership’s ethical standards.

	Has Alliance Mostly	Has Alliance Moderately	Has Alliance in Small Part	Alliance Not Yet
Alliance Partnership Success	2	10	45	6
Partnership Ethical Standards	2	13	38	10

In both the columns as in alliance partnership success and partnership’s ethical standards there are 63 respondents and as per their responses it is observed that in both the sections (APS & PES) there is same response of 2 under the question “Has Alliance Mostly”, but in second question “Has Alliance Moderately” APS has 10 responses on the other hand PES has 13 responses, in 3^rd section “Has Alliance in small part” APS has 45 responses whereas PES has only 38 responses and in the end in the section “Alliance not yet” APS has 6 responses whereas PES has 10 responses(Gretton, Borgwardt, Rasch, Scholkopf, & Smola, 2012.).

Q4. Calculate the correlation coefficient “r” and provide interpretation of results

S.No.	X (APS)	Y (PES)	XY	X²	Y²
1	2	2	4	4	4
2	10	13	130	100	169
3	45	38	1710	2025	1444
4	6	10	60	36	100
Total	63	63	1904	2165	1717

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Correlation coefficient formula is below:

n = 4
∑x = 63
∑y = 63
∑xy = 1,904
∑x² = 2,165
∑y² = 1,717
= 4(1,904) – (63) (63) / √ [4 *2,165 – 3,969] [4 * 1,717 – 3,969]
= 7,616 – 3,969 / √ [8,660 – 3,969] [6,868 – 3,969]
= 3,647 / √ [4,691] [2,899]
= 3,647 / √13,599,209
= 3,647 / 3687.71
= 0.99
r = 0.9889
Interpretation: as the results obtained for the correlation coefficient it is observed that there is highly positive and strong relation between both variables(Song, Smola, Gretton, Bedo, & Borgwardt, 2012).

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Q5. Demonstrate whether there is a relationship between the two variables

The range of correlation coefficient is from -1 to 1. As per the result our correlation coefficient is 0.9889 or 98.89%, which shows that variables having very strong positive relationship among them(Gretton, Borgwardt, Rasch, Scholkopf, & Smola, 2012.).

Q. 7 Present your results analysis in a professional report from providing correct interpretation of your results in tabulated, graphs or chart forms.

	Has Alliance Mostly	Has Alliance Moderately	Has alliance in small part	Alliance Not yet	Total
Alliance Partnership Success	2	10	45	6	63
Partnership Ethical standards	2	13	38	10	63

Correlation

Here we can observe a positive relationship between the two variables and conclude the results as the above interpretation.

Works Cited

Gretton, A., Borgwardt, K., Rasch, M., Scholkopf, B., & Smola, A. (2012.). A kernel two-sample ¨ test. . JMLR, 13 , 723–773.
Song, L., Smola, A., Gretton, A., Bedo, J., & Borgwardt, K. (2012). Feature selection via dependence maximization. . JMLR, 13: , 1393–1434 .

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