Although you might suspect that dissatisfied people would be the most likely ind

Question

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. a. Find the regression equation for predicting political participation from life satisfaction. b. Using alpha = .05, test the significance of the regression equation.

Explanation / Answer

The regression equation is

y=a+bx

from Excel

The regression equation is

y = 2.11 +0.72(Life satisfaction).

b) H0: Model is not sigificant

H1: Model is significant

alpha:5%

Test statistic:

F cal=6.5419

Conclusion:

P value=0.043

P <0.05, we reject the H0. Hence claim is significant.

SUMMARY OUTPUT Regression Statistics Multiple R 0.722222 R Square 0.521605 Adjusted R Square 0.441872 Standard Error 1.694217 Observations 8 ANOVA df SS MS F Significance F Regression 1 18.77778 18.77778 6.541935 0.043041 Residual 6 17.22222 2.87037 Total 7 36 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 2.111111 1.278482 1.651264 0.149775 -1.01722 5.239444 -1.01722 5.239444 Life satisfaction 0.722222 0.282369 2.557721 0.043041 0.031289 1.413155 0.031289 1.413155

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