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Use the SPSS output below to answer the following questions. The dependent varia

ID: 3392749 • Letter: U

Question

Use the SPSS output below to answer the following questions. The dependent variable was OPTIMIST (“I am an optimist”). The predictors were RELIGIOUS (“I am a religious/spiritual person”) and WORSESOC (“Our society has been progressively getting worse over the years”). All three of these variables ranged from 1-strongly disagree to 5-strongly agree. How much variance in OPTIMIST is accounted for (as a percentage) by the 2 predictors? Do NOT include percent sign (%) in your answer--just the numerical value.

ANOVAD Model Summary Sum of Squares Mean Square Unstandardized Coefficients Coefficients Adjusted R Std. Error of the Estimate 9.932 33.068 43.000 a. Predictors: (Constant), Religious, WorseSos 4.966 6.157 Model Std Errar Beta Model re 41 807 3.000 .179 377 4.167 1.118 3.367 481 231 193 Total 43 160 .153 270 a. Predictors: (Constant), Religious, WorseSac 112 461 b. Dependent Variable: Optimist a Dependent Variable: Optimist

Explanation / Answer

R-square is the measure of variance in the dependent variable accounted for by the independent variables. Here R-square is 0.231. So 0.231 variance in OPTIMIST is accounted for (as a percentage) by the 2 predictors.