Maths Statistics Coursework - Comparing the relationship Between Gas Cost and Temperature

Authors Avatar
Maths Statistics Coursework

Comparing the relationship

Between Gas Cost and Temperature

By

James Sanders - June 2001

King Edward VI School

Aims

I hope to show by my investigation that the winter does mean that the gas bills will be higher than in summer and I hope to be able to aid my grand parents in predicting the costs of the bills for a few more quarters. I hope to show that the bills are very regular which is good and why we have used more gas in some years than others. Also I hope to forecast the next quarterly bills. I want to do this so that my grandparents can have a clear idea of what they should be doing each quarter by cutting down on gas consumption.

Prediction

I predict that in my examination of the relationship between Gas cost and Temperature I will find that there is an inverse or opposite relationship between them. I also predict that the price of my Gas bills in the future shall be quite similar as my data table has shown but I want to predict that this will carry on.

Data Table

YEAR

MONTH

PRICE (£)

TEMP (C

998

M

31.52

6

998

J

54.41

9.6

998

S

33.62

5.2

998

D

85.19

0.6

999

M

25.68

5.3

999

J

68.42

9.9

999

S

26.25

5.9

999

D

74.78

1.4

2000

M

24.99

5.7

2000

J

71.36

9.2

2000

S

39.27

5.7

2000

D

70.13

0.5

(FIG.1)

M = March = Bill covers months, December, January and February.

J = June = Bill covers months, March, April and May.

S = September = Bill covers months, June, July and August.

D = December = Bill covers months, September, October and November.

Average Temperatures ((C) (All temperatures given to one decimal place)

1998

M= 5.5+5.2+7.3 = 6.0 (1.d.p) S= 14.2+15.5+15.9 = 15.2 (1.d.p)

3 3

J= 7.9+7.7+13.1 = 9.6 (1.d.p) D= 14.9+10.6+6.2 = 10.6 (1.d.p)

3 3

1999

M= 5+5.5+5.3 = 5.3 (1.d.p) S= 13.9+17.7+16.2 = 15.9 (1.d.p)

3 3

J= 7.4+9.5+13 = 9.9 (1.d.p) D= 15.6+10.7+7.9 = 11.4 (1.d.p)

3 3

2000

M= 5.8+4.9+6.3 = 5.7 (1.d.p) S= 15.1+15.5+16.6 = 15.7 (1.d.p)

3 3

J = 7.6+7.8+12.1 = 9.2 (1.d.p) D= 14.7+10.3+6.5 = 10.5 (1.d.p)

3 3

In Fig.1 it shows that the gas bill for March is routinely far the most expensive. This is because the bill for March covers the months December, January and February. These months are considered to be the winter months therefore being colder more gas is required to heat the house. Fig.1 also shows us that the bill for September is by far the cheapest. This is because the bill for September covers the months June, July and August. These months are considered to be the summer months therefore being warmer. Less gas is required to heat the house. This is because the sun should be providing some extra heat.
Join now!


Temperature data was gained from the Internet site: http://www.cru.uea.ac.uk/~mikeh/datasets/uk/cet.htm

I have received my information for my gas bills from my grandparents and they should have constant results as they economize on gas quite a lot. The bills are from British Gas and I have enclosed some to show proof of my data and that it is accurate.

Spearmans Rank correlation

GAS COST

TEMP

RANK GS

RANK TEMP

DIFFERENCE

(DIFFERNCE)2

31.52

6

0

-9

81

54.41

9.6

9

8

33.62

...

This is a preview of the whole essay