Although you might suspect that dissatisfied people would be

Although you might suspect that dissatisfied people would be the most likely individuals to participate in political activities in an attempt to change things, research tends to show just the opposite. Flavin and Keane (2011) found a positive relationship between life satisfaction and political participation, which included activities such as attending rallies, contributing to candidates, and displaying a yard sign. Following are data similar to those obtained in the study. Find the regression equation for predicting political participation from life satisfaction. Using a = .05, test the significance of the regression equation.

Solution

a)

Let x = life satisfaction
y = political participation

Using technology, we get              
              
slope =    0.722222222          
intercept =    2.111111111          
              
Thus, the regression line is              
              
y^ =    0.722222222x   +   2.111111111 [ANSWER]

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b)
              
              
Also, getting the correlation,              
              
r =    0.722222222          
              
Thus, the coefficient of determination is              
              
r^2 =    0.521604938          
              
              
As t = r sqrt [(n - 2) / (1 - r^2)], then              
              
t =    2.55772076          
              
As alpha =    0.05          
df =    6          
              
Then              
              
tcrit =    2.446911851          
              
As t > 2.4469, there is significant correlation between life satisfaction and political participation at 0.05 level. [CONCLUSION]