Independent Study exercise and answers 2016

An Excel file has been sent to HKUSPACE on regression analysis:

ROE is the y variables; the rest are the X variables.

Data set is as follows:

ROE Gearing ratio Sales
turnover
Gross margin% Market share
0.5 0.5 10 0.04 0.5
0.4 0.6 9 0.03 0.4
0.3 0.66 8 0.07 0.44
0.3 0.7 7 0.05 0.35
0.2 0.71 7.7 0.07 0.4
0.1 0.68 8 0.05 0.7
0.3 0.7 8.8 0.04 0.3
0.2 0.75 5 0.03 0.33
0.2 0.74 6 0.05 0.34
0.1 0.8 4 0.07 0.5
0.3 0.7 4.8 0.08 0.5
0.2 0.6 6 0.02 0.55


Resultant report extract is as follows:

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.946920292
R Square 0.896658039
Adjusted R Square 0.83760549
Standard Error 0.046927263
Observations 12
ANOVA
df
Regression 4
Residual 7
Total 11
Coefficients
Intercept 1.57656714
Gearing ratio -1.632290953
Sales turnover -0.00469295
Gross margin% 2.070143271
Market share -0.636238718

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