# Brief Lab Summary

Question 1

Group Statistics

HIGHEST YEAR OF SCHOOL COMPLETED N Mean Std. Deviation Std. Error Mean

RESPONDENTS INCOME 12 283 12.24 18.415 1.095

16 161 17.57 21.854 1.722

Independent Samples Test

Levene's Test for Equality of Variances t-test for Equality of Means

F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference

Lower Upper

RESPONDENTS INCOME Equal variances assumed 1.340 .248 -2.734 442 .007 -5.325 1.948 -9.153 -1.497

Equal variances not assumed -2.609 288.642 .010 -5.325 2.041 -9.342 -1.308

Question 2

Correlations

NUMBER OF CHILDREN RS HIGHEST DEGREE

NUMBER OF CHILDREN Pearson Correlation 1 -.111**

Sig. (2-tailed) .001

N 955 955

RS HIGHEST DEGREE Pearson Correlation -.111** 1

Sig. (2-tailed) .001

N 955 955

**. Correlation is significant at the 0.01 level (2-tailed).

Question 3

Variables Entered/Removeda

Model Variables Entered Variables Removed Method

1 RS HIGHEST DEGREEb . Enter

a. Dependent Variable: NUMBER OF CHILDREN

b. All requested variables entered.

Model Summary

Model R R Square Adjusted R Square Std. Error of the Estimate

1 .111a .012 .011 1.666

a. Predictors: (Constant), RS HIGHEST DEGREE

ANOVAa

Model Sum of Squares df Mean Square F Sig.

1 Regression 32.852 1 32.852 11.837 .001b

Residual 2645.043 953 2.775

Total 2677.895 954

a. Dependent Variable: NUMBER OF CHILDREN

b. Predictors: (Constant), RS HIGHEST DEGREE

Coefficientsa

Model Unstandardized Coefficients Standardized Coefficients t Sig.

B Std. Error Beta

1 (Constant) 2.232 .089 25.152 .000

RS HIGHEST DEGREE -.153 .045 -.111 -3.440 .001

a. Dependent Variable: NUMBER OF CHILDREN

Talk about constant, slope and R2

https://brainmass.com/statistics/regression-analysis/brief-lab-summary-516360

#### Solution Preview

Let's first see what the ordinary least squared regression line is all about. The regression line determines a linear equation that best fits the values of x (predictor) and y (dependent).

In our case this line is 2.232 - 0.153x = y.

So what is the interpretation of this line?

2.232 (the constant) is called the y intercept and it's the value of y when the value of x is zero. i.e. it is the number of children when there is no RS Higher Degree.

-0.153 (the slope or gradient) is the rate of change of y with respect to a unit change in x. In ...

#### Solution Summary

A step by step explanation of all the statistical parameters of a simple linear regression analysis based on the least square estimate.