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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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    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.

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