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Interpretation of Correlation Coefficient, Slope and Scatter Plot

Assess the relationship between the two variables based on the scatterplot and output for the b coefficient. Is there a relationship between these two variables as hypothesized? Is it a negative or a positive relationship?

Describe the relationship between these two variables using representative values of years of education and hours of television viewing. For example, if an individual has 16 years of education, what are the predicted hours of television viewing? How can you determine this?

Does a straight line adequately represent (visually) the relationship between these two variables? Why or why not?

Solution Preview

Before calculating a correlation coefficient or a regression equation, it is always important to examine a scatter diagram between two variables to see how well a straight line fits the data. If a straight line does not appear to fit, other curves can be used to describe the relationship (this subject is not discussed in our text).
The SPSS scatterplot in Figure 13.23 and output shown in Figure 13.24 display the relationship between education (measured in years) and television viewing (measured in hours) based on 2006 GSS data. We can hypothesize that as educational attainment increases, hours of television viewing will decrease, indicating a negative relationship between the two variables.

Assess the relationship between the two variables based on the scatterplot ...

Solution Summary

This solution is comprised of a detailed explanation of Correlation Coefficient, Slope and Scatter Plot. This solution mainly discussed the SPSS output and full interpretation of correlation and regression analysis using GSS data. The solution provides the interpretation of Correlation Coefficient, Slope and Scatter Plot where the independent variable is education (measured in years) and dependent variable is television viewing (measured in hours) .

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