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 |
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R2 |
.313 |
.273 |
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* 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.