Question

In: Statistics and Probability

Calculate the predicted self-control score for a person living in a good neighborhood who is 18...

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

Good Neighborhoods

(n = 356)

Bad Neighborhoods

(n = 186)

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!

Solutions

Expert Solution

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.


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