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A Study on the Relationship Between Number of Hours Spent Per Shopping Trip and Amount of Money Spent Per Shopping Trip

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MATHEMATICS UNIT 2

A STUDY ON THE RELATIONSHIP BETWEEN

NUMBER OF HOURS SPENT PER SHOPPING TRIP

AND

AMOUNT OF MONEY SPENT PER SHOPPING TRIP

PROJECT MEMBERS:

SOO QIAO YING

LIM ZHUO RU

HEW YEE THING

 NG HUI NI

CLASS:

MATHEMATICS 2-8

SUMMISION DATE:

9 SEPTEMBER 2016

CONTENT PAGE

1. 

Introduction                                                                         

2. Data

3. Univariate Analysis and Interpretation

        3.1.1 Independent variable (x) - Number of hours spent per shopping trip

        (i) Frequency Distribution

        (ii) Measure of central tendency - Mean, Median, Mode

        (iii) Measure of dispersion - Range, Variance, Standard Deviation, Interquartile range

        (iv) Outlier

        3.1.2 Graphs for Independent variable (x)

       (i) Histogram & description

       (ii) Box-plot & description

       3.2.1 Dependent Variable (y) - Money spent per shopping trip

       (i) Frequency Distribution

        (ii) Measure of central tendency - Mean, Median, Mode

        (iii) Measure of dispersion - Range, Variance, Standard Deviation, Interquartile range

        (iv) Outlier

        3.2.2 Graphs for Dependent variable (y)

       (i) Histogram & description

       (ii) Box-plot & description

4. Bivariate Analysis and Interpretation

     (i) Scatter diagram of Y on X.

     (ii) Equation of regression line

     (iii) Coefficient of correlation and its interpretation

     (iv) Coefficient of determination and its interpretation

     (v) Residual plot for X and Y and its interpretation

5. Conclusion

  1. Introduction

The topic that we have decided for this Statistics Project is the money spent per shopping trip against the number of hours spent per shopping trip. The independent variable is the number of hours spent per shopping trip while the dependent variable is the sum spent per shopping trip. The ultimate purpose of this Project was to determine if there is a relationship between the two variables. It is estimated that the more the number of hours spent per shopping trip, the higher the money spent per shopping trip. The survey respond of this project was gotten from online survey form which has approximately 62% of female respondent and 38% of male respondent. Most of the age respondent are around age 17 to age 25 which tells us that they are majority students.

After we were informed by our Maths lecturer about this project, every member of our group start thinking about the topic that can be used for bivariate distribution. Although we can think of quite a few topic that can be used for bivariate distribution, but we feel that we would want something more interesting. We end out thinking that the number of hours spent per shopping trip and the money spent per shopping trip are quite interesting to use for this bivariate distribution project.  We also think that it was a quite significant issue to study. We then informed our lecturer on our topic and she approved it, probably thinking of this topic may have the chance to get a decent coefficient.

After our maths lecturer accepted the topic, all of the group member start to collect response until we reached 50 responds. We feel that we don’t have that much time to walk around and let the respondent fill in the form, so, we used the online survey form which is more efficient. After the creation of our online survey form, every group member began to send the link of the survey form to our friends through social media website. We have collected 50 response in about 2 days. After collecting sufficient amount of response, we began to do statistic calculation mainly using Excel and sometimes using graphing calculator with the help of our lecturer and online tutorial.

By the second week of doing the project, we have already done half of the work for the project. We distributed the job equally and all the members help each other whenever we encounter any problem so that the project can be done in time. Our Maths lecturer, Ms Angie had also helped us patiently whenever we asked our doubt regarding the project or statistic. We hope that we can finished the project as soon as possible so that we won’t be panic at the last minute as many other test and assignment due date are coming together.

In the third week, we were at that point of finishing the project. All we need to do is to combine all the work into Microsoft word and print it out. The project is completed efficiently.

  1. Data

  Number

 Gender (F/M)

Age (years old)

Number of hours spent per shopping trip (hour)

Amount of money spent per shopping trip (RM)

F

18

5

150

F

18

1

20

F

19

3

50

F

19

2

200

F

19

6

300

F

18

3

50

F

18

2

100

F

18

3

150

M

18

2

100

F

19

3

100

M

19

1

10

F

20

3

200

F

19

1

20

F

19

5

350

M

16

1

60

F

25

3

300

F

18

3

200

M

27

6

500

F

18

1

30

F

18

2

70

M

26

2

200

F

18

1

30

M

17

1

50

M

22

2

80

F

20

3

180

M

56

2

20

F

18

3

150

F

19

1

50

F

18

5

130

M

18

4

300

M

18

1

30

M

18

1

35

M

24

4

375

F

18

1

10

F

20

2

25

M

18

4

50

F

18

3

150

F

18

2

60

F

24

5

200

M

20

2

70

M

16

3

70

F

25

6

480

F

19

1

100

F

56

2

150

F

20

1

10

F

18

2

40

M

25

1

30

M

20

1

5

M

60

1

50

M

18

2

0

...

...

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