Exam 9: Analyzing Data: Multiple Variables

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Here is some output from a regression analysis:  Model Summary \text { Model Summary } R R Square .43 .190 a. Predictors: (Constant), Age When First Married, Number of Brothers and Sisters, Age of Respondent Standardized Coefficients Model Beta t Sig. 1 Number of Brothers and Sisters .152 5.787 .000 \nobreakspace Age of Respondent .299 11.338 .000 \nobreakspace Age When First Married -.283 -10.802 .000 -What is the research question that is being analyzed here?

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Is there a relationship between the number of children respondents have and the number of siblings they have, their age, and the age when first married?

Here is some output from a regression analysis:  Model Summary \text { Model Summary } R R Square .43 .190 a. Predictors: (Constant), Age When First Married, Number of Brothers and Sisters, Age of Respondent Standardized Coefficients Model Beta t Sig. 1 Number of Brothers and Sisters .152 5.787 .000 \nobreakspace Age of Respondent .299 11.338 .000 \nobreakspace Age When First Married -.283 -10.802 .000 -Put into words what R2 is telling us:

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19% of the variation across respondents in our sample in number of children they have is explained by their age now, the age when they first married, and number of siblings

When a relationship between two variables is significant, but disappears when a third control variable is introduced, it is considered a

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A partial correlation is the relationship between X and Y when a control variable is introduced.

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Here is some output from a regression analysis:  Model Summary \text { Model Summary } R R Square .43 .190 a. Predictors: (Constant), Age When First Married, Number of Brothers and Sisters, Age of Respondent Standardized Coefficients Model Beta t Sig. 1 Number of Brothers and Sisters .152 5.787 .000 \nobreakspace Age of Respondent .299 11.338 .000 \nobreakspace Age When First Married -.283 -10.802 .000 -At your press conference, what would you tell the eager reporters about what you found in your study?

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Here is some output from a regression analysis:  Model Summary \text { Model Summary } R R Square .43 .190 a. Predictors: (Constant), Age When First Married, Number of Brothers and Sisters, Age of Respondent Standardized Coefficients Model Beta t Sig. 1 Number of Brothers and Sisters .152 5.787 .000 \nobreakspace Age of Respondent .299 11.338 .000 \nobreakspace Age When First Married -.283 -10.802 .000 -Which of the three independent variables is the best predictor? How can you tell?

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