Question

In: Statistics and Probability

Table 1 below provides slopes, standard errors, and beta’s for several variables used to predict levels...

Table 1 below provides slopes, standard errors, and beta’s 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

  1.          A coefficient is significant when the t value associated with the coefficient exceeds the     critical t value at the appropriate degrees of freedom. In table 1, calculate the t value for     school socialization and maternal smoking variables (2 separate t values).

Solutions

Expert Solution

School Socialization:

For Good

estimated slope=   -0.249                  
std error =    0.085                  
                      
t-test statistic =    t = estimated slope / std error =   -0.249   /   0.085   =   -2.929

For Bad:

estimated slope=   -0.042                  
std error =    0.112                  
                      
t-test statistic =    t = estimated slope / std error =   -0.042   /   0.112   =   -0.375

---------------

maternal smoking variables

For Good:

estimated slope=   0.58                  
std error =    0.277                  
                      
t-test statistic =    t = estimated slope / std error =   0.58   /   0.277   =   2.094

For Bad:

estimated slope=   1.02                  
std error =    0.388                  
                      
t-test statistic =    t = estimated slope / std error =   1.02   /   0.388   =   2.629

Thanks in advance!

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