Test for the fourth week Document: Assessment Task Hypothesis_Regression_Time series index numbers sem2-18.doc Page 1 of 5 Assessment task for Hypothesis, Regression Time series/ Index Numbers sem...

Test for the fourth week
Document: Assessment Task Hypothesis_Regression_Time series index numbers sem2-18.doc
Page 1 of 5
Assessment task for Hypothesis, Regression Time series/ Index Numbers sem XXXXXXXXXXPrint off
and complete before handing in Total 50 marks

Firstly fill in section A XXXXXXXXXXmarks) XXXXXXXXXXName :

Your student number is S

You will make some numbers using your student number
The first number, to be used in question 1 and 5, is the first two digits of your student number
XXXXXXXXXXNow refe
ed as A


The second number will also be used in Question 1 and 5. It is made from the last two digits in your student
number
XXXXXXXXXXNow refe
ed as B


The Third number will be used Question 2 and 5, and is made using the third and fourth digits of your
student number
XXXXXXXXXXNow refe
ed as C


The Fourth number will also be used Question 5, and is made using the Fourth and fifth digits of your
student number
XXXXXXXXXXNow refe
ed as D


The Fourth number will be used Question 5, and is made using the first and sixth digits of your student
number
XXXXXXXXXXNow refe
ed as E
Eight numbers to be used in Question 3 and 4 will be made from the digits

1 First
Digit
1 Second
Digit
1 Third
Digit
1 Fourth
Digit
1 Fifth
Digit


1 Sixth
Digit
1 Seventh
Digit
XXXXXXXXXXAnd also Your age
List the 8 numbers you will be using in the box below, And this will be refe
ed to as data set F





Question 1 (11 marks)
If your student number was s XXXXXXXXXX, Age is 23 date of birth 1993
Then your eight numbers for set F would be
13 , 12 , 14 , 16 ,15 , 17, 19, and 23
Document: Assessment Task Hypothesis_Regression_Time series index numbers sem2-18.doc
Page 2 of 5

Question 1 (6 marks)

The Waiting time for a Pizza order is supposed to be no more than 10 minutes. Some complaints have
een received that the orders are in fact taking longer than the claimed 10 minutes. A batch of B orders
was timed and found to have an average order time of 10.9 minutes and a sample standard deviation
of (A ÷ 40 ) minutes. Prepare a hypothesis test to test whether the orders are taking longer than 10
minutes. Test at 1% significance using critical value. Show all 6 steps.



















Question 2 (5 marks)
The proportion of people who love dogs is known to be 75 % Australia wide. A town in far north
Queensland is often different in many aspects to the rest of Australia. When C families were
sampled the proportion who loved dogs was 68%. (If ‘C’ happens to be zero, you may assume C to be
10). Test whether this town is significantly different to the rest of Australia, given the probability of
making a type 1 e
or is 5% using p-value method.




















Document: Assessment Task Hypothesis_Regression_Time series index numbers sem2-18.doc
Page 3 of 5
Question 3

Age is one of the key factors used to predict the market value of a car. The Age in years and
cu
ent market value of a certain type of car is given below: Place your data set F ( in column 2
market value). Starting from the 1 in descending order ( from the largest number to smallest
number).
Age Market value
($’000) F

1
2
3
4
5
6
7
8
Ʃ= Ʃ=
a) Choose X and Y and calculate the co
elation coefficient r. Show all calculations 4 MARKS









) Interpret the coefficient of determination. 1 mark




c) Calculate bo and b1. Set up the simple linear regression equation. 3 marks









d) Interpret the coefficients 2 marks






e) Predict the market value of the car if it is 10 years old. 1 mark



XXXXXXXXXX XXXXXXXXXX= 11 marks)
Document: Assessment Task Hypothesis_Regression_Time series index numbers sem2-18.doc
Page 4 of 5
Question 4

The following table represents the number of enrolments in a first year business statistics course over an
eight year period: Place your data set F ) starting from 1 in descending order (from the largest number
to smallest number).

Year Enrolments
F
MA (4year) E
ors for
the
MA (4year)
predictions
E
o
2
MA(4 year)
1 ------
2 ------
3 ------
4 ------
5
6
7
8


I. Calculate the 4 year Moving Average forecast and complete MA (4 year) column above
II. What is the forecast for year 9?




III. Calculate the E
ors for MA ( 4 year)
IV. Calculate the Mean Absolute Deviation (MAD) for MA (4year)




V. Calculate E
or2 for MA ( 4 year).
VI. Calculate the MSE (Mean Square of E
ors ) for MA (4year)




VII. Graph your first two table columns (Year and enrolments) as a time series below and describe
the plot ( Be mindful of trend, and cyclic variation ( if any) )