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Correlation analysis for birth rate variation

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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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The solution discusses the correlation analysis for birth rate variation.

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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 = ...

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