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Quantitative Methods in Finance Essay

   

Added on  2020-07-22

10 Pages2933 Words111 Views
Quantitative Methods in Finance

Table of ContentsA. Calculation of descriptive statistics.....................................................................................................................................................................3B. Displaying the distribution of satisfaction rates across universities....................................................................................................................3C. Creating a box and whisker plot for ATAR.........................................................................................................................................................4D. Contingency table................................................................................................................................................................................................4E. Estimation of 95% confidence interval for the population mean salary..............................................................................................................5F. Testing claim at 1% significance level.................................................................................................................................................................5G. Multiplier Linear regression................................................................................................................................................................................6H. Interpreting coefficient estimate of slope............................................................................................................................................................6I. Interpret remaining slope coefficient estimates along with their signs.................................................................................................................6J. Interpreting the value of adjusted R square and difference between R2 and Adjusted R2....................................................................................6K. Is the overall model statistically significant at 5% sig level...............................................................................................................................7L. Other factors with significant impact on graduate salary....................................................................................................................................7M. Predicting average graduate salary.....................................................................................................................................................................7L. Linear regression assumptions.............................................................................................................................................................................7O. Sampling procedure.............................................................................................................................................................................................8REFERENCES.............................................................................................................................................................................................................9

A. Calculation of descriptive statistics Descriptive statistics, as its name, is used to give basic details of given data set and provide simple quantitative results including centraltendency measures as well as dispersion (Shmueli and et.al., 2017). SalarySatisfactionATARG8ATNVICQLDSANSWWAOTHERMean44716.3682.6666766.487180.2051280.1282050.2820510.2051280.0512820.2307690.1282050.102564Standard Error889.63590.6856282.0715510.0655040.0542340.0729990.0655040.0357820.0683480.0542340.049216Median43006836500000000Mode#N/A847000000000Standard Deviation5555.7754.28174412.936830.4090740.3386880.4558810.4090740.2234560.4268330.3386880.307355Sample Variance3086663218.33333167.36170.1673410.114710.2078270.1673410.0499330.1821860.114710.094467Kurtosis-0.03366-0.32918-0.074490.3230173.534181-1.040370.32301716.7794-0.247253.5341815.722008Skewness0.672924-0.258270.7003651.5195832.3141731.007851.5195834.2332561.3297192.3141732.725964Range23296184711111111Minimum34000734900000000Maximum57296919611111111Sum174393832242593851182954Count3939393939393939393939Confidence Level(95.0%)1800.9741.3879814.1936360.1326060.109790.1477790.1326060.0724360.1383630.109790.099633Above calculation from the table exhibit that average salary of the student across university is 44,716.36 whilst average satisfaction scoreand ATAR requirement for the business degrees is 82.66 and 66.48 respectively. However, on the other side, statistical result determined mediansalary of 43,006, it means that 50% of the surveyed people earned salary below that level and rest 50% get higher salary. Mode for thesatisfaction score reflects that maximum number of people reported their satisfaction score to 84 indicates that they are quite satisfied with theuniversity programs while its median score is found 83 (Chandrasegar, Thirumalai and Balaji, 2017). Considering ATAR, its median and modevalue were reported to 65 and 70 respectively. On the other hand, considering the variability of the series, it is found that salary shows greatdeviation due to high standard deviation. It reflects that every student salary deviates from the mean salary of 44716.36, some earn very high andothers may have less salary. By contrast, ATAR and satisfaction score of the student reflects lower dispersion or scatter means, these arecomparatively less deviated than salary dataset. Other dummy variables such as G8 shows mean of 0.20 means many of the chosen universitiesare not the part of G8 universities. Moreover, ATN reported average of 0.128 that shows that university is not the part of Australian TechnologyNetwork. Similarly, all other dummy variables found with a mean score below zero and mode is zero that shows that indicates that maximumnumber of universities is not located in Victoria, Queensland, South Australia, NSW and Western Australia. B. Displaying the distribution of satisfaction rates across universitiesHistogram is a best way to present or visualize the distribution of a numerical data set and an estimate of the probability distribution. Forthe given satisfaction score found through survey, distribution is displayed through histogram as follows:

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