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Hello Tutors,
I've got two different math sheets in which is required to be completed on different due dates, both files will be attached down below as PDF.
The first file is about Financial Arithmetic, this will require these key skills: (Due in 12 hours from post)
The second file 'Analysis data" involves the following: (Due in 3 days from post)
In return of the work, I will consider you for future work and long term purposes.
I do require the first file " Financial Arithmetic" to be given in 12 hours from this post. However the second file 'Analysis data' is due Friday, 3 days.
Analysis of Data.pdf
Week 6 Page 1 Week 6
Project - Analysis of Data
SEND… Section A - Multiple choice questions
(No marks for questions without an explanation)
1. For the scatterplot shown, the association between the variables is best described as:
A.
B.
C.
D.
E. Weak linear negative
Strong linear negative
Weak linear positive
Strong linear positive
No association Explain your reasoning: 2. For the scatterplot shown, the association between the variables is best described as:
A.
B.
C.
D.
E. Weak linear negative
Strong linear negative
Weak linear positive
Strong linear positive
No association Explain your reasoning: Week 6 Page 2 3. For the scatterplot shown, the association between the variables is best described as:
A.
B.
C.
D.
E. Weak linear negative
Strong linear negative
Weak linear positive
Strong linear positive
No association Explain your reasoning: 4. For the scatterplot shown, Pearsons correlation coefficient, r, is closest to:
A. - 0.90
B. - 0.64
C. - 0.23
D. 0.64
E. 0.90 5. For the scatterplot shown. Pearson’s correlation coefficient, r, is closest to:
A. 0.21
B. 0.41
C. 0.86
D. 0.99
E. 0.63 Week 6 Page 3 Section B - How does an outlier affect the least squares line?
You are required to prepare a report for the Hockey Administration Committee outlining the
effects of temperature on drinks sold. Your report is to be presented to the Committee as a
PowerPoint presentation or you may present the report in paper format. Useful Internet sites
http://www.teachers.ash.org.au/jfuller/powerpoint/menu.
htm
http://www.kidzonline.org/TechTraining/video.asp?
UnitQry=PowerPoint Learn how to create a
PowerPoint
Training video on how to
create a PowerPoint The table below shows the temperature and how many drinks were sold at 15 hockey matches.
6 Temp (°C)
Drinks sold 24 30 8 27 30 36 12 22 15 39 12 9 18 33 500 750 200 550 700 750 780 600 700 650 850 550 600 650 800 Begin your report with your own title and a brief introduction (e.g. one
sentence).
Include the sub headings indicated in bold below and your answers to
the points given under each.
Scatter Plot
1. Before you do a scatter plot you need to decide which variable will be x and which will be y.
State your decision and give reasons for your choices.
Construct a scatter plot. Describe the pattern. Explaining the meaning of Pearson’s r and what the gradient tells us
2. (a) (b) Input the data into your CAS calculator. Record Pearson's r and the least squares
regression equation. (If you are not using a CAS calculator you’ll need to use the
formulae for Pearson’s r, given in last week’s notes.)
(i) What does Pearson's r tell you?
(ii) What does the gradient mean? (c) Test to see whether the equation is reasonable by comparing a point on your graph
with the calculated value. Week 6 Page 4
What is an outlier and what is its significance?
3. State what an outlier is. Find the outlier in the data. Discard the outlier then find the new
value of Pearson's r and the least squares equation.
How have Pearson's r and the least squares equation changed with the outlier removed? Conclusion
7. What effect does temperature have on the amount of drinks sold and what impact did
outliers have on the results? Resources
List the resources that you have used (websites, books, etc).
Note: When listing websites, include the date that you accessed the site.
For example,
http://www.microsoft.com/downloads/details.aspx? Accessed 27/4/06. ASSESSMENT
Your project will be assessed on: completion
accuracy and relevance of content
Analysis and Interpretation of the results.
Use of technology
design
resources used Guidelines on aspects we are looking for are given on the
next page. Week 6 Page 5
315 Clarendon Street, Thornbury 3071
Telephone (03) 8480 0000
FAX (03) 9416 8371 (Despatch)
Free call (1800) 133 511 Fix your student barcode
label over this space. SCHOOL NO. 74106
STUDENT NUMBER _______________________
SCHOOL NAME ___________________________ [74105] STUDENT NAME __________________________ YEAR/LEVEL VCE General Mathematics
(Standard) Unit 2
11
6
WEEK TEACHER ________________________ SUBJECT [ZX] PLEASE ATTACH WORK TO BE SENT.
NOTE: Please write your number on each page of your work that is attached to this page. SEND Please check that you have attached: Project Have you left out any of the above items? Please let us know the reason for this so we can help
you. _____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________ Use the space on the back of this sheet if you have any questions you would
like to ask, or problems with your work that you would like to share with
your teacher. Week 6 Page 6 YOUR QUESTIONS AND COMMENTS DISTANCE EDUCATION CENTRE TEACHER’S COMMENTS DISTANCE EDUCATION CENTRE TEACHER
W
Week 4 Pagee 1
ndon Street, Th
hornbury 3071
315 Claren
Telephone
e (03) 8480 000
00
FAX (03) 9416 8371 (Desp
patch)
Free call (1
1800) 133 511 Fiix your stuudent barccode
label overr this spacce. SCHOOL
L NO. 4104
74
STUDEN
NT NUMBE
ER ________
_________________
SCHOOL
L NAME _____________
___________
_______ [741
[ 102
2] STUDEN
NT NAME ___________
_
_________________ YEAR/L
LEVEL VCE General
G
Mathhematics
(Sttandard) Unnit 2
4
11
WEEK TEACHER _______
___________________ SUBJEC
CT [Z
ZX] PLEASE
E ATTAC
CH WOR
RK TO BE
E SENT.
NOTE: P
Please writee your numb
ber on eachh page of your work wh
hich is attachhed to this page.
p SEND
D Please check that you have aattached: Tw
wo tasks from
m Tasks 1-3
3 Have youu left out anny of the abo
ove items? P
u know the reason for tthis so we can
c help
Please let us
you. ____________________________
__________
__________
__________
____________________
________
____________________________
__________
__________
__________
____________________
________
____________________________
__________
__________
__________
____________________
________
____________________________
__________
__________
__________
____________________
________ Use thee space on
n the back
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heet if you
u have an
ny questioons you would
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like to aask, or prroblems with
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your teacher. Week 4 Page 2
YOUR QUESTIONS AND COMMENTS PLEASE You be the judge:
Give a grade from 1 to 9 on how well you feel you understand to following.
(9 = I fully understood and can apply the ideas, 1 = Help, I haven’t a clue.) Score Do you feel confident that you understand:
How to use the formula to get the depreciation rate
Comparing the total cost of various financial products
Comparing the advantages and disadvantages of financial products. Were the instructions clear? _____
Roughly how long did you spend on this week? ______
Questions/Comments/or thoughts I have about this week:
(Why? What? When? Who? How?) TEACHER’S FEEDBACK
Great things about your work: Please consider doing the following: DISTANCE EDUCATION CENTRE TEACHER Week 4 Page 3 SEND… This week there are three tasks listed. You should complete 2 of them, using the techniques
you have learned so far. Please complete all sections of the tasks and forward all workings with
your coversheet. Task 1: Spinning down and out? When you buy a car, whether it is brand new or ‘pre-loved’, it’s value starts to drop as soon as
you drive it out of the showroom or car-yard. In this task you will look at the depreciation of a
‘Mad-Mobile’, and then investigate the depreciation of two real car models.
The ‘Mad-Mobile’ costs $23 550, including registration and all on-road costs.
1. The manufacturer is confident that the ‘Mad-Mobile’ will have a reducing balance
depreciation of 8% each year over its “life”. Copy and complete the following table
showing the expected values of the ‘Mad-Mobile’ for the first five years (round your
answers to the nearest whole dollar): Value after 0 years 1 year 2 years 3 years 4 years 5 years $23 550 2. We know that in reality the depreciation rate is unlikely to be a steady 8%. In fact, the
‘Mad-Mobile’ depreciates at a changing rate, by 15% in the first year, 10% in the second
year, and only 5% each year after that. Using these figures for the changing depreciation
rate, calculate the value of the ‘Mad-Mobile’ at the end of each of the first five years. Value after 0 years 1 year 2 years 3 years 4 years 5 years 15% 10% 5% 5% 5% $23 550
Rate 3. Use the figures obtained in the first two questions to draw a graph showing both methods
of depreciation on the same set of axes. Clearly label each of the two methods drawn. Week 4 Page 4
4. At some stage the value of the ‘Mad-Mobile’ is likely to be the same for both methods of
depreciation. Using your graph from question 3, determine when this will happen. 5. Some car models (like the Falcon or Corolla) have been made for many years. Over the
years the amount you would have paid for a new car has changed. One model gave the
following prices. Year
Advertised price 2002 2003 2004 2005 2006 $16,990 $21,450 $25,000 $28,550 $34,990 Calculate the percentage change in price for each year. 6. The value of my Trindus Typhoon has fluctuated over the years:
Year
Advertised Price 2002 2003 2004 2005 2006 $23 450 $20 497 $19 990 $13 990 $12 990 (a) Calculate the percentage depreciation for each of the years shown. (b) There could be many reasons why the price drops and why depreciation varies.
Suggest a few possibilities. Week 4 Page 5 Task 2: What’s a dog worth, anyway? Deborah loves dogs and she is very keen to have one as a pet. Her father is skeptical about the
costs involved, and asks her to do a little research before the family commits itself to one.
Deborah goes to a local pet shop and finds that she can purchase a wormed and vaccinated
puppy for $150. Her dad says that there are other costs to consider, and he made a list of them:
Bedding
Registration
De-sexing
Food
1. $40 This will be replaced every 2 years
$50 per year or $10 if animal is de-sexed
$100 (Only happens once and when a pup)
$8 per week If the dog lives for 15 years, what will be the total costs incurred by Deborah? (Include
the purchase price and assume that costs are not affected by inflation over the 15 year
period.). Complete this table to find the total cost for each year, each type of cost and the
“grand total”. Year
1
2 Purchase Desexing Bedding Registration
$50
$10 3
4
5
6
7
8
9
10
11
12
13
14
15
Total
2. What was the average cost per year over those 15 years? 3. What is the purchase price as a percentage of the overall cost? Food Total Week 4 Page 6
4. Deborah’s dad considers borrowing $1000 for 15 years, paying interest at 7% pa,
compounded monthly. Calculate how much he would pay back (assuming he didn’t
make any repayments until the end of the 15 years). (Hint: You might like to refer to
Week 3 if you need some guidance with compound interest.) Task 3: If I were a rich man,….. You’ve task will involve contacting a bank or credit union, identifying appropriate “financial
instruments” and using them on some situations.
You will need to contact at least one financial institution. This may be done in person or through
their web-sites. Some are listed below:
http://www.adelaidebank.com.au
http://www.anz.com.au
http://www.bendigobank.com.au
http://www.commbank.com.au http://www.macquarie.com.au
http://www.national.com.au/
http://www.stgeorge.com.au
http://www.westpac.com.au/ Find out information about their deposit and investment accounts, including the rates of interest
and various fees. For each of the following, identify the best account (or combination of
accounts.). Explain why you made your choice, including such factors such as interest rate and
fees.
1. Byron is a 15 year old student with $800 saved up. Apart from some pocket money which he
immediately spends, Byron works a few hours a fortnight in a shop. They pay $50 a
fortnight directly into his bank account. He is saving for a motorbike, so he doesn’t make
any withdrawals from that account. 2. Nina is saving for a big holiday and hoping one day to buy a home. She currently has
$52,000, which she doesn’t plan to use for at least 2 years. She does want to keep $10,000 in
cash. Her pay is deposited directly into her bank account, and half her withdrawals are done
on the Internet and half through the automatic teller machines. 3. Bill is a door-to-door salesman. He has $4,000 set aside for the secondary schooling of his 5
year old child. He also has $22,000 in cash. He uses this to buy supplies so he can’t lock it
away. Most of his income comes in cash and cheques, which he deposits over the counter or
at the automatic teller machines. He makes withdrawals by cheque or ATM. 4. Work it out for your own situation (but don’t send that to the DECV.)