Undergraduate Statistics: Stock Prices, Probability, and Data Analysis

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Homework Assignment
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This assignment solution covers various statistical concepts applied to stock price analysis and probability assessments. It includes calculations of arithmetic mean, median, and percentage change in stock prices. Different data visualization techniques, such as line charts, are discussed for displaying variables like Tesco stock prices. The assignment also addresses probability calculations related to spending habits and distances, along with concepts like modal class and compound interest. Furthermore, it delves into Z-score calculations, confidence intervals, and probability density functions. The analysis extends to examining the relationship between advertising expenditure and sales using scatter diagrams and regression equations, highlighting the importance of analyzing the pros and cons of increasing advertisement expenses. Desklib provides students access to a wide array of similar solved assignments and study resources.
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Undergraduate Modular
Scheme Examination
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TABLE OF CONTENTS
QUESTION 1...................................................................................................................................3
A..................................................................................................................................................3
B..................................................................................................................................................3
C..................................................................................................................................................3
D..................................................................................................................................................3
QUESTION 2...................................................................................................................................4
A..................................................................................................................................................4
B..................................................................................................................................................4
C..................................................................................................................................................4
D..................................................................................................................................................4
E..................................................................................................................................................4
QUESTION 3...................................................................................................................................4
A..................................................................................................................................................4
B..................................................................................................................................................5
C..................................................................................................................................................5
QUESTION 4...................................................................................................................................5
A..................................................................................................................................................5
B..................................................................................................................................................5
C..................................................................................................................................................6
REFERENCES................................................................................................................................7
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QUESTION 1
A
The three sources of data through which primary data can be gathered includes asking,
observing and experimenting. On the other hand three sources through with secondary data can
be gathered includes collecting information from the internet, assessing the public libraries and
to use the data from different educational and Non governmental agencies.
B
Arithmetic mean 229.508
Median stock price 228.5
% change on
01/04/2020 -0.0437
C
The best type of the chart which will be assistive in displaying the variable Tesco Stock Pirce is
the line chart. This is particularly because of the reason that it includes the variation within the
prices clearly and it is visible better with help of line chart.
D
The primary data within the present studies not the qualitative data. This is particularly
because of the reason that the stock price is being outline isn't you married figures (Cressie and
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Moores, 2021). Also the tools applied involve the statistical tools which are being applied over
the quantitative data only. Hence the current dissertation outlines the use of quantitative data as
the primary.
QUESTION 2
A
The probability of spending over £10 weekly is
= 19/ 185
= 0.10
B
Frequency of people living 1 mile away from the campus
= (10 + 20 + 19) / 185
= 49/ 185
=0.26
C
Modal class is the one which includes the highest number of frequency. On the basis of
category of amount spent the modal group involves the second category that is 5.00- 9.99. this is
because of the reason that it involves the category wherein the maximum number of people are
spending the money.
D
A= P( 1 + rt)
A= 200 (1 + (0.03 * 3))
A = 218
E
A = P (1 + r/n )n/t
A= 218.55
QUESTION 3
A
Z score= (X - μ) / σ
= (70% - 70) / 10
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= -6.93
B
With the help of 95% confidence interval it is clear these head school is minus 6.93. This
simply implies that the hypothesis has not been attain because values in negative.
C
The probability of the blue area is
= 6/ 24
= 0.25
With the help of the distribution been described in the chart it is clear that the Blue area is
the Limited area which the company wants to use for the salad. The x within the case is 21. The
probability density function of the chart involving the statistical expression which outlines the
probability distribution been present within the chart provided.
QUESTION 4
A
These statistical relationship being highlighted within the figure involves the fact that will
be expense increase the sales is also increased. On the other hand with the help of the scattered
diagram it is also evaluated that there is a positive response of both variables that is
advertisement expenditure and the sales. When they expenditure increases the sales also
increases.
The first characteristic of the relationship set out with the graph is that advertising
expenditure is the independent variable and the sales are the dependent variable.
Along with this another characteristic of the relationship being identified is that when the
expenditure increased for example from 8 to 12 the sales also increase from 30 to 40 (Gupta and
Kapoor, 2020). On the other hand when the expenditure decline from 12 to 11 the sales also
declined from 429. This simply implies that the expenditure and sales are being interrelated to
one another.
In addition to this another characteristic being found within the relationship is that there
is not any outlier being present within the date of which can affect the working efficiency of the
relationship.
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B
The equation being created involves
Y= -0.509 x + 32.8
C
With the help of the equation it is outline that the relationship at a certain point of time
will become negative. Hence it is very necessary for the company that the effectively outline the
pros and cons of increasing the advertisement expenses to a great level (van de Schoot and et.al.,
2021). In case the expenses will be increased to a very high level then it might be possible that
sales will decline. Thus it is very crucial for the business to effectively analyse and then take the
decision of increasing the advertising expenditure.
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REFERENCES
Books and Journals
van de Schoot, R., and et.al., 2021. Bayesian statistics and modelling. Nature Reviews Methods
Primers. 1(1). pp.1-26.
Gupta, S. C. and Kapoor, V. K., 2020. Fundamentals of mathematical statistics. Sultan Chand &
Sons.
Cressie, N. and Moores, M. T., 2021. Spatial statistics. arXiv preprint arXiv:2105.07216.
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