Business Management and Statistics Report

University
Business Management and Statistics
By
Your Name
Date
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© <Your Name> 2020

Business Management and Statistics Report
Task 1
Executive Summary
The data provided was collected from an anonymous survey of 151
individuals and is comprised of numeric and categorical variables.
Descriptive statistics for numeric variables show the measures of central
tendency and variation for a given variable and explain the distribution of
the variable. On the other hand, the descriptive statistic for categorical
variables show number of individuals have a given trait are visualized with a
bar chart. The regression analysis and scatter plot show negative
relationship between time to commute and time for part time but the two
variables are not statistically significant.
Introduction
A data is collected from a random anonymous survey for one-hundred and
fifty-one individuals on a number of variables about themselves. The purpose
of this report is to describe the sample and investigate whether various
factors presented by the individuals such as gender, type of student and age
affect their commuting time to the university.
Sample Description
The sample is collected from an anonymous survey of individuals on various
factors about them. A total of 151 individuals were sampled. The sample has
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a combination of categorical and numerical variables (Shao, 2010).
Categorical variables are domicile, age, gender, accommodation type,
accommodation satisfaction, part time work and A-level mathematics. On the
other hand, numeric variables are time to university, duration in a computer,
minute of exercise, hours of part time work, part time hourly wage, total
GCSE points and A-level total points. Categorical variables are coded so that
each code represents a specific character of the individual (Selvanathan and
Keller, 2017).
Data Analysis
Descriptive Statistics
The table below summarizes the descriptive statistics of the categorical
variables.
Domicile Age Gender Accomodation type Accomodation satisfaction Part time work? A-level Maths
a 53 93 100 23 83 120 72
b 52 13 45 24 58 31 78
c 46 45 6 3 6 0 0
d 0 0 0 26 0 0 0
e 0 0 0 0 0 0 0
f 0 0 0 55 0 0 0
g 0 0 0 10 0 0 0
h 0 0 0 10 0 0 0
Total 151 151 151 151 147 151 150
The above descriptive statistics are visualized by the bar chart below:
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The descriptive statistics for the numeric variables are summarized below for
each variable.
Time To University? Duration On A Computer? Minutes Of Exercise? Hours Of Part Time Work ?
Mean 38.807947 Mean 89.5960265 Mean 141.8675497 Mean 18.891667
Standard Error 2.5896161 Standard Error 6.20953606 Standard Error 11.42791468 Standard Error 0.8629915
Median 30 Median 60 Median 120 Median 16
Mode 30 Mode 120 Mode 120 Mode 12
Standard Deviation 31.821736 Standard Deviation 76.3040566 Standard Deviation 140.4285667 Standard Deviation 9.4535982
Sample Variance 1012.6229 Sample Variance 5822.30905 Sample Variance 19720.18234 Sample Variance 89.370518
Kurtosis -0.10313 Kurtosis 8.75959735 Kurtosis 3.44595597 Kurtosis 3.6492571
Skewness 0.9324805 Skewness 2.27420042 Skewness 1.655554631 Skewness 1.7325612
Range 132 Range 497 Range 720 Range 55
Minimum 3 Minimum 3 Minimum 0 Minimum 5
Maximum 135 Maximum 500 Maximum 720 Maximum 60
Sum 5860 Sum 13529 Sum 21422 Sum 2267
Count 151 Count 151 Count 151 Count 120
Part Time Hourly Wage? Total GCSE Points? A-Level: Total Points?
Mean 8.121575775 Mean 75.472 Mean 214.0508475
Standard Error 0.314501935 Standard Error 2.6591 Standard Error 7.505474823
Median 7.58 Median 64 Median 220
Mode 0 Mode 57 Mode 220
Standard Deviation 3.558183218 Standard Deviation 31.91 Standard Deviation 81.53032548
Sample Variance 12.66066782 Sample Variance 1018.2 Sample Variance 6647.193974
Kurtosis 3.136369944 Kurtosis -0.4427 Kurtosis 0.652735281
Skewness 0.660190287 Skewness 0.8397 Skewness -0.76169488
Range 22 Range 139 Range 380
Minimum 0 Minimum 6 Minimum 0
Maximum 22 Maximum 145 Maximum 380
Sum 1039.561699 Sum 10868 Sum 25258
Count 128 Count 144 Count 118
The most important of the descriptive statistics in numeric variables are the
measures of central tendency and measures of spread. Measures of central
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