Find a value for the product moment correlation coefficient r for this data   Explain what the value of the product moment corelation tells you about the relationship between daily temperature and the household energy consumption.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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A scientist wants to develop a model to describe the relationship between the average daily temperature, x °C, and her household’s daily energy consumption, y kWh, in winter.

A random sample of the average daily temperature and her household’s daily energy consumption are taken from 10 winter days and shown in the table.

x

-0.4

-0.2

0.3

0.8

1.1

1.4

1.8

2.1

2.5

2.6

y

28

30

26

25

26

27

26

24

22

21

 

You may use:  

Sy=255     Sxy=283.8     Syy= 64.5

  1. Find a value for the product moment correlation coefficient r for this data

 

  1. Explain what the value of the product moment corelation tells you about the relationship between daily temperature and the household energy consumption.

 

A scientist wants to develop a model to describe the relationship between the average daily
temperature, x °C, and her household's daily energy consumption, y kWh, in winter.
A random sample of the average daily temperature and her household's daily energy
consumption are taken from 10 winter days and shown in the table.
X
2.6
-0.4 -0.2 0.3 0.8 1.1 1.4 1.8 2.1 2.5
28 30 26 25 26 27 26 24 22
y
21
You may use: Ey=255
Exy=283.8 Syy=64.5
a) Find a value for the product moment correlation coefficient r for this data
b) Explain what the value of the product moment corelation tells you about the
relationship between daily temperature and the household energy consumption.
Transcribed Image Text:A scientist wants to develop a model to describe the relationship between the average daily temperature, x °C, and her household's daily energy consumption, y kWh, in winter. A random sample of the average daily temperature and her household's daily energy consumption are taken from 10 winter days and shown in the table. X 2.6 -0.4 -0.2 0.3 0.8 1.1 1.4 1.8 2.1 2.5 28 30 26 25 26 27 26 24 22 y 21 You may use: Ey=255 Exy=283.8 Syy=64.5 a) Find a value for the product moment correlation coefficient r for this data b) Explain what the value of the product moment corelation tells you about the relationship between daily temperature and the household energy consumption.
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