Question

Question 22

1. The following displays the results of a bivariate regression analysis, which describes the relationship between income (the IV or X variable) and violent offending (the DV or Y variable). The table includes the regression slope coefficient (b), standard error, sig. value and the 95% confidence interval lower and upper bounds similar to how they would appear from SPSS results.

   Complete the table by computing the t-statistic (or t-obtained) from the information given in the table. The question is not really about computation, it is about understanding what the t-statistics tells you in this table.

   	b	std. error	t	sig.	95% CI, Lower Bound	95% CI, Upper Bound
   Income	-12.5	1.5		.000	-15.44	-9.56

Answer 1

The t test statistic is

t = b / std .err

t = -12.5/ 1.5

t = -8.333333

t statistic = -8.3333

As the significance value is 0.000

And Alpha 0.05

Decision = As pvale 0.000 is less than alpha 0.05 so we reject the null hypothesis at 5% level of significance.

Conclusion = As we reject the null hypothesis , hence the coefficient of income (b) is significantly different from zero.

From this we say that the coefficient b is significantly different from zero or we say that coefficient is not equal to zero.