ABSTRACT

The objective of this research work is to determine if the number of kids a goat has at birth depends on its weight and age. The method of statistical analysis used here are regression and correlation as applied in the multivariate case. Data for forty (40) female goats were randomly selected from Michael Okpara University of Agriculture School farm. Due to shortage of time, secondary data had to be used. The data were analysed using multivariate analysis techniques. From the results, it was established that age and weight of female goats have significant effect on the number of kids produced at birth. Since it was established that the number of kids produced at birth depends on the weight and age of the mother. emphasis should be laid on how to attain to that weight and age where the maximum number of kids is obtained.

TABLE OF CONTENTS

Title page

Certification ii

Dedication iii

Acknowledgment iv

Abstract v

Table of contents vi

CHAPTER ONE

1.0 Introduction

I .1 Motivation

1 .2 Objective

1.3 Scope of study

1.4 Methodology

1.4. 1 Source of data

1.4.2 Methods of Analysis

CHAPTER TWO

2.0 Literature Review 4

2.1 Definition of Concepts 5

2. 1.1 Distribution of Variables 5

2.2 The Normality Test 6

2.2.1 Test of normality for age of female goat 6

2.2.2 Test of normality for weight of female goat 7

CHAPTER THREE

3.0 Methods of Analysis 8

3.1 Matrix 8

3.1.1 Vector 8

3.1.2 Transposes 8

3.1.3 Determinants 9

3.1.4 Inverse of a Matrix 9

3.2 Regression Analysis 10

3.2.1 Normal Equations 11

3.3 Correlation 12

CHAPTER FOUR

4.0 Analysis of Data 14

4. 1 Analysis of Regression 14

4.1.1 Regression of Y on X1, X2 14

4.1.2 Regression of Y on Xi 15

4.1.3 RegressionofYonX2 16

4.1.4 a Testing the Significance of the Regression Coefficients 16

4. 1.4 b Testing for the Significance of Multiple Regression

Model Coefficients. 19

4.2 Analysis of Correlation 21

4.2.1 Correlation of Y and X1 21

4.2.2 Correlation of Y and X2 22

4.2.3 Testing the Significance of correlation coefficients 22

4.3 Partial Correlation 23

CHAPTER FIVE

5.0 Summary, Conclusion and Recommendation 25

5.1 Summary 25

5.2 Conclusion 25

5.3 Recommendations 25

References 26

Appendix 27