ABSTRACT

The aimthis work is to establish the age at which optimum egg production will be achieved using regression analysis. The essence being to meet with the protein need of our body. The data for this work was a secondary data and it was collected from the poultry section of this University. it was recorded on weekly basis for 39 weeks. A mathematical models of the linear regression and that of the quadratic were fitted and tested. A linear egres&on model is of the form yi = bo + bi xi + ei while that of the quadratic is: yi = bo + b1 xi + b2x, + ei. The linear moOl was fitted, tested and was found to be insignificant while that of the quadratic was found to be significant.

TABLE OF CONTENTS

TITLE PAGE

CERTIFICON ii

DEDICATION iii

ACKNOWLEDGEMENT iv

ABSTRACT v

CHAPTER ONE

1.1 INTRODUCTION 1-4

1.2 STATEMENT OF PROBLEM 4

1.3 RATIONALE FOR STUDY 4

1.4 OBJETIVES OF THE STUDY 4-5

1.5 SCOPE OF STUDY 5

1.6 MOTIVATION.., 5

1.7 METHODOLOGY 6

1.7.1 SOURCE OF' DATA 6

1.7.2. METHOD OF ANALYSIS 6

1.7.2.1 TEST FOR NORMALITY... 6

1.7.2.2 REGRESSION ANALYSIS 7

1.7.2.3 ANALYSIS OF VARIANCE 7

1.7.2.4 DATA PRESENTATION 7-8

CHAPTER TWO

2.0 INTRODUCTION 9

2.1 REGRESSION ANALYSIS 10-11

2.2 SCATTER DIAGRAM... 11-13

2.3 LINEAR REGRESSION MODEL 13-15

2.4 MULT2LE REGRESSION 15-16

2.5 NON- LINEAR RELATIONSHIPS . 16-17

2.6 HYPOTHESIS . ... 17-18

2.7 ONE TAILED TEST AND TWO TAILED TEST 18-20

2.8 SIGNIFICANCE OF PARAMETERS 20

2.9 NORMALITY TEST 20-21

CHAPTER THREE

3.1 INTRODUCTION 22

3.2 TEST FOR NORMALITY 22-24

3.3 RECESSION ANALYSIS 24

3.3.1 FITTING OF A REGRESSION MODEL.... 24-26

3.3.2 TTING FOR THE LINEAR MODEL 26-33

3.3.2.1 FITTING A QUADRATIC MODEL 33-38

CHAPTER FOUR

4.1 DISCUSSION AND CONCLUSION 39

4.2 SUMMARY 40

4.3 RECOMMENDATION 41

LIST OF TABLES

Table 1 TEST FOR NORMALITY 22

Table 2, 23

TabIe3 ANOVA TABLE FOR LINEAR MODEL ... 28

Table4 " QUAD RATC MODEL. 36

TableS THE SCATTER DIAGRAM 43

Table6 DATA PRESENTATION . 44