**Finding and Analyzing Principal components of protein consumption**

**From different food sources**

**In European Countries**

# ABSTRACT

The data set contains Protein consumption (g per person per day) in 25 European countries. Here we

Measure the consumption of protein using 9 different food items for all 25 countries.

Here we consider Read meat, White meat, Eggs, Milk, Cereals, Starchy foods, Pulses/nuts and oilseeds, Fruits and vegetables as our 9 different food items.

Using those food items (variables) we try to understand the behavior of this data set and then we can predict conclusions.

Using principal component Analysis we try to simplify this data set and from it we can make predictions easily.

Here we only try to simplify this data using principal component analysis and make some conclusions based on that.

# CONTENTS

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ACKNOWLEDGEMENT ii

ABSTRACT ii

CONTENTS iii

LIST OF TABLES iv

LIST OF FIGURES v

1. INTRODUCTION 1

2. METHODOLOGY 2

3. ANALYSIS AND INTERPRETATION 3

4. OVERALL CONCLUSION 15

5. REFERENCES 16

6. APPENDIX 17Ã¯Â¿Â½Ã¯Â¿Â½Ã¯Â¿Â½

# LIST OF TABLES

Table 3.1 - Descriptive Statistics Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Ã¢ÂÂ¦Ã¢ÂÂ¦..Ã¢ÂÂ¦Page 03

Table 3.2 - Correlation Coefficients between the variablesÃ¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦...Ã¢ÂÂ¦Ã¢ÂÂ¦.Page 14

Table 3.3 - Summary (Model One - full model)Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦..Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Page 15

Table 3.4 - Summary (Model One - reduced model I)Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦..Page 17

Table 3.5 - Summary (Model One - reduced model II)Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.........Page 18

Table 3.6 - Model One - beta valuesÃ¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦...Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦...Page 19

Table 3.7 - Summary (Model Two - full model)Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦..Ã¢ÂÂ¦Ã¢ÂÂ¦.Page 20

Table 3.8 - Summary (Model Two - reduced model I)Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Page 21

Table 3.9 - Model Two - beta valuesÃ¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦...Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦...Page 22

Table 3.10 - P-Values for normality testsÃ¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦...Ã¢ÂÂ¦Ã¢ÂÂ¦..Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦...Ã¢ÂÂ¦Ã¢ÂÂ¦...Page 23

# LIST OF FIGURES

Figure 3.1 - HistogramsÃ¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦..Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Page 05

Figure 3.2 - Box PlotsÃ¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦....Page 08

Figure 3.3 - Q-Q Plots with Q-Q LineÃ¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦.Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦Ã¢ÂÂ¦...Page 11

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**1. INTRODUCTION**

The term "Protein consumption" means the amount of protein...