# [R] data analysis. R

UBC cheong0618 at hotmail.com
Sun Mar 22 01:13:19 CET 2009

```so i am having this question
what should i do if the give data file (.txt) has 4 columns, but different
lengths?
how can i read them in R?
any idea for the following problem?

Gas consumption (1000 cubic feet) was measured before and after insulation
was put into
a house. We are interested in looking at the effect of insulation on gas
consumption. The
average outside temperature (degrees celcius) was also measured. The data
are included in
the file "insulation.txt".

(a) Determine if insulation in the house effects the average gas
consumption.
(b) How much extra gas is used when there is no insulation? Provide an
interval estimate
as well as a point estimate.

heres the content in "insulation.txt"  (u can just copy and paste it to the

Before insul    After insul.
temp    gas     temp    gas
-0.8    7.2    -0.7    4.8
-0.7    6.9    0.8    4.6
0.4    6.4    1.0    4.7
2.5    6.0    1.4    4.0
2.9    5.8    1.5    4.2
3.2    5.8    1.6    4.2
3.6    5.6    2.3    4.1
3.9    4.7    2.5    4.0
4.2    5.8    2.5    3.5
4.3    5.2    3.1    3.2
5.4    4.9    3.9    3.9
6.0    4.9    4.0    3.5
6.0    4.3    4.0    3.7
6.0    4.4    4.2    3.5
6.2    4.5    4.3    3.5
6.3    4.6    4.6    3.7
6.9    3.7    4.7    3.5
7.0    3.9    4.9    3.4
7.4    4.2    4.9    3.7
7.5    4.0    4.9    4.0
7.5    3.9    5.0    3.6
7.6    3.5    5.3    3.7
8.0    4.0    6.2    2.8
8.5    3.6    7.1    3.0
9.1    3.1    7.2    2.8
10.2  2.6    7.5    2.6
8.0    2.7
8.7    2.8
8.8    1.3
9.7    1.5

thx and any ideas would help.
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