Reference no: EM132886843 , Length: word count:3700
HA1011 Applied Quantitative Methods - Holmes Institute
Learning outcome 1: Summarise numerical data and present it both by means of tables and charts.
Learning outcome 2: Be able to calculate and interpret descriptive summary measures.
Learning outcome 3: Develop simple regression models and interpret the regression coefficients.
Learning outcome 4: Understand basic probability concepts.
Question 1
The median annual personal income by visa stream is presented in the table below. Use this data to answer the following questions a. - d.
|
Visa Stream
|
Median Income in $
2015
|
Median Income in $
2017
|
|
Skilled
|
55,248
|
55,904
|
|
Family
|
36,977
|
37,413
|
|
Humanitarian
|
29,806
|
30,365
|
|
Other PR
|
47,977
|
49,383
|
Required Tasks:
a. Use an appropriate graphical technique to summarize the data above and interpret.
b. Use an appropriate graphical technique to compare the percentage change of income between 2015 and 2017 by Visa stream.
c. Comment on your observations in parts (b).
d. Explain why you selected the particular graphical technique in part a and b.
Question 2
The data in the table below of Statistics group assignment results (in %) by a random sample of the results of 30 groups were recorded in the table below.
|
39
|
63
|
65
|
68
|
68
|
76
|
76
|
85
|
84
|
87
|
|
91
|
95
|
94
|
94
|
30
|
34
|
39
|
31
|
33
|
14
|
|
35
|
38
|
39
|
38
|
32
|
27
|
28
|
33
|
40
|
49
|
Required Tasks:
a. Construct a frequency distribution and a relative frequency distribution for the data.
b. Construct a cumulative frequency distribution and a cumulative relative frequency distribution for the data.
c. Plot an Ogive for the data.
d. If 50 is the pass mark, what proportion of the groups passed the assignment?
e. What proportion of the data is more than 70?
Question 3
This dataset below is a record of amount spent on advertising and the number of items sold. With this dataset, a predictive model can be performed to estimate the items sold from the number of cost of advertising.
|
Advertising
($)
|
Items Sold
|
|
40
|
15
|
|
20
|
10
|
|
70
|
14
|
|
80
|
20
|
|
10
|
2
|
|
120
|
25
|
Required Tasks:
a. Derive the simple linear regression equation (between amount spent on advertising and the number of items sold).
b. Interpret the slope coefficient and the intercept coefficient.
c. Calculate and interpret the Coefficient of Determination.
d. Calculate and interpret the correlation coefficient.
e. Predict number of Items sold when amount spent on advertising is $200 and $60.
Question 4
Use the following table below to answer the 5 (five) questions below:
|
Gender / Student Type
|
Under-graduate
|
Graduate
|
|
Male
|
100
|
460
|
|
Female
|
240
|
200
|
Required Tasks:
(a) P (Male)
(b) P (Under graduate)
(c) P (Male OR under graduate)
(d) P (Female AND Under graduate)
(e) P (Graduate | Female)
Attachment:- Applied Quantitative Methods.rar