The following exercises utilize the path model depicted below as well as the data setcountry-c.sav. Specifically, the variables oflndocs(z₁),lngdp(z₂),deathrat(z₃),birthrat(z₄), andlifeexpf(z₅) will be utilized.

1.Determine the path decompositions for the model. Be sure to label which are direct (D), indirect (I), unanalyzed (U), and spurious (S).

2.Identify the regression analyses necessary for testing this initial model.

1. run a correlation matrix that includes all model variables. Conduct the regression analyses identified in Question 2. What are the following path coefficients?

a.r₁₂=

b.p₃₁=

c.p₄₂=

d.p₅₂=

e.p₅₃=

f.p₅₄=

4.Applying the path decompositions from Question 1, calculate the reproduced correlations.

5.Which reproduced correlations differ from the empirical correlations by more than .05?

6.Is this model consistent with empirical data? If not, what would you recommend to revise the model?

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