In: Statistics and Probability
Calculate the predicted self-control score for a person living in a good neighborhood who is 18 years old, male, who scores a 12 on parental supervision, a 15 on parental responsiveness, a 10 on school socialization, and whose mother smoked during pregnancy. Then, calculate the self-control score for a person living in a good neighborhood who is 21 years old, female, who scores an 8 on parental supervision, a 10 on parental responsiveness, a 6 on school socialization, and whose mother smoked during pregnancy. If having low self-control is a significant predictor of delinquency, which individual (#1 or #2) would be more at risk of engaging in delinquency?
Table 1 below provides slopes, standard errors, and betas for several variables used to predict levels of self-control (higher scores = lower self-control) for respondents living in “good” and “bad” neighborhoods.
| 
 Table 1. OLS Regression Predicting Low Self-Control Across Neighborhood Type  | 
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| 
 Good Neighborhoods (n = 356)  | 
 Bad Neighborhoods (n = 186)  | 
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| 
 Measure  | 
 B  | 
 SE  | 
 Beta  | 
 B  | 
 SE  | 
 Beta  | 
| 
 Age (in Years)  | 
 -.215*  | 
 .094  | 
 -.117  | 
 .107  | 
 .160  | 
 .050  | 
| 
 Sex (1 = Males)  | 
 .699**  | 
 .224  | 
 .160  | 
 .129  | 
 .361  | 
 .026  | 
| 
 Race (1 = Whites)  | 
 .059  | 
 .261  | 
 .012  | 
 -.499  | 
 .382  | 
 -.101  | 
| 
 Parental Supervision (Higher = More Supervision)  | 
 -.277**  | 
 .023  | 
 -.063  | 
 -.026  | 
 .364  | 
 -.005  | 
| 
 Parental Responsiveness (Higher = More Responsive)  | 
 -.098**  | 
 .032  | 
 .161  | 
 .096  | 
 .058  | 
 .228  | 
| 
 School Socialization (Higher = More Socialization)  | 
 -.249**  | 
 .085  | 
 -.154  | 
 -.042  | 
 .112  | 
 -.027  | 
| 
 Maternal Smoking (1 = Smoked During Pregnancy)  | 
 .580*  | 
 .277  | 
 .109  | 
 1.02**  | 
 .388  | 
 .193  | 
| 
 Constant  | 
 6.105  | 
 1.750  | 
 .460  | 
 2.620  | 
||
| 
 R2  | 
 .313  | 
 .273  | 
||||
* p < .05; ** p < .01
Show work please!
The fitted regression model for predicting Self-control scores can be expressed as:

For a person living in a good neighborhood:


#1The predicted self-control score for a person living in a good neighborhood who is 18 years old, male, who scores a 12 on parental supervision, a 15 on parental responsiveness, a 10 on school socialization, and whose mother smoked during pregnancy


= -3.77
#2The self-control score for a person living in a good neighborhood who is 21 years old, female, who scores an 8 on parental supervision, a 10 on parental responsiveness, a 6 on school socialization, and whose mother smoked during pregnancy


= -2.52
We know, from prior studies that Self-control is a significant predictor of delinquency and both are negatively correlated - Lower self-control leads to higher rates of delinquency.
Hence, the person having lower self-control score would be more at risk of engaging in delinquency, here, that would be person #1.
Person #1, would be more at risk of engaging in delinquency.