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MBS659 Quantitative Research Methods for Business S1 , 2020 Assignment 1 Due: Friday, 10/4/2020, 23:55 This assignment covers material from Sessions 1-4 and is worth 80 marks to be rescaled to 20% of...

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MBS659 Quantitative Research Methods for Business
S1 , 2020
Assignment 1



Due: Friday, 10/4/2020, 23:55
This assignment covers material from Sessions 1-4 and is worth 80 marks to be
escaled to 20% of your total mark of MBS659. Your solutions should be properly
presented, and it is important that you double-check your spelling and grammar and
thoroughly proofread your assignment before submitting. Instructions for
assignment submission are presented in the “Assignment 1” link and must
e strictly adhered to. No marks will be awarded to assignments that are
submitted after the due date and time. All analyses must be ca
ied out using
SPSS, and no marks will be awarded for assignment questions where SPSS
output supporting your answer is not provided in your Microsoft Word file
submitted for the Assignment.




Questions

In this assignment, we will examine the “Car Manufacturers” dataset. Before beginning
the assignment, read through the descriptions of the variables in the data set. Each
variable in the dataset is described in the ‘label’ field of the SPSS file.
1. (50 marks)

Use appropriate graphical displays and measures of centrality and dispersion
to summarise the following five variables. For graphical displays for numeric data,
e sure to comment on not only the shape of the distribution but also compliance
with a normal distribution. Be sure to include relevant SPSS output (graphs,
tables) to support your answers.

(a) Seconds to reach to speed 60 from 0.
(b) Weight in 100 lb.
(c) Horse power.
(d) Gallons per 100 miles.
(e) Cylinders.
(10 marks)

2. Again consider the variable ‘Gallons per 100 miles’, and ‘Seconds to reach to
speed 60 from 0’. It is of interest to visualize the relationship of the two
var iables. You must report the shape of the relationship.
(15 marks)
3. Consider the variables ‘Horse power’ and ‘Seconds to reach 60 from 0”. It is of
interest to identify the outliers in those two variables. You must generate two
graphs that indicates the cases of the outliers and then report the values of each
outlier case.
4. (5 marks)

Presentation marks. These marks are allocated based on:

• Structure, clarity, and tidiness of presented solutions/answers; and

• Co
ectness in spelling and grammar.
End of questions.
Answered Same Day Apr 24, 2021

Solution

Pooja answered on Apr 25 2021
149 Votes
1)
(a) Seconds to reach to speed 60 from 0
    Descriptives
     
     
     
    Statistic
    Std. E
o
    Seconds to reach to speed 60 from 0
    Mean
    15.5413
    0.13934
    
    95% Confidence Interval for Mean
    Lower Bound
    15.2674
     
    
    
    Upper Bound
    15.8153
     
    
    5% Trimmed Mean
    15.4902
     
    
    Median
    15.5
     
    
    Variance
    7.611
     
    
    Std. Deviation
    2.75886
     
    
    Minimum
    8
     
    
    Maximum
    24.8
     
    
    Range
    16.8
     
    
    Interquartile Range
    3.35
     
    
    Skewness
    0.292
    0.123
    
    Kurtosis
    0.444
    0.246
The distribution of seconds to reach the speed 60 from zero is approximately normally distributed as the histogram is bell-shaped.  For a normal distribution, mean at standard deviation are the best measures of Central tendency and variation.  The average time to reach the speed of 60 from 0 in 15.5 seconds. This has a low standard deviation of 2.75 indicating that the mean is a reliable measure of central tendency.
(b) Weight in 100 lb. 
    Descriptives
     
     
     
    Statistic
    Std. E
o
    Weight in 100 l
    Mean
    2.9776
    0.0429
    
    95% Confidence Interval for Mean
    Lower Bound
    2.8932
     
    
    
    Upper Bound
    3.0619
     
    
    5% Trimmed Mean
    2.9449
     
    
    Median
    2.8035
     
    
    Variance
    0.721
     
    
    Std. Deviation
    0.8494
     
    
    Minimum
    1.61
     
    
    Maximum
    5.14
     
    
    Range
    3.53
     
    
    Interquartile Range
    1.39
     
    
    Skewness
    0.52
    0.123
    
    Kurtosis
    -0.809
    0.246
The distribution of weight in 100 lb is approximately normally distributed as the histogram is bell-shaped. For a normal...
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