# Correlation analysis for birth rate variation

1. Data are gathered on 40 countries to study variations in birth rate. Consider an equation derived in the study:

where:

Y = birth rate per 1,000 population

X = per capita income

a. Identify the following:

the independent and dependent variables

the regression coefficient

the constant

the correlation coefficient

the coefficient of determination

the standard error of the slope (seb)

the linear regression equation

b. What percent variation in birth rate is associated with per capita income?

c. What is the direction of the relationship between per capita income and birth rate? What evidence supports your answer?

d. What goodness of fit information is provided? How should you interpret this information?

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#### Solution Preview

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Correlation Analysis

1. Data are gathered on 40 countries to study variations in birth rate. Consider an equation derived in the study:

Y = 32 - .0018X

r = - .78

Seb = .00024

where:

Y = birth rate per 1,000 population

X = per capita income

Answers

a. Identify the following:

the independent and dependent variables

Independent variable: per capita income

Dependent variable: birth rate per 1,000 population

the regression coefficient

Regression coefficient = ...

#### Solution Summary

The solution discusses the correlation analysis for birth rate variation.