Stats Solutions

(All Steps) From the regression information below, answer the following questions: Write the linear regression equation to predict father’s education from

Question: From the regression information below, answer the following questions:

  1. Write the linear regression equation to predict father’s education from mother’s education.
  2. Based on the results of the linear regression, can you reject the null hypothesis that there is no linear relationship between father’s and mother’s education?
  3. What proportion of the variability in mother’s education is explained by father’s education?
  4. How can you tell from the slope of the correlation coefficient between the two variables is positive or negative?
  5. What can you conclude about the population correlation coefficient based on what you know about the slope? Can you reject the null hypothesis that the population correlation coefficient is 0?

Regression

Model Summary b
Model R R Square Adjusted R Square Std. Error of the Estimate
1 .639 a .408 .407 3.162
  1. Predictors: (Constant), HIGHEST YEAR SCHOOL COMPLETED, MOTHER
b. Dependent Variable: HIGHEST YEAR SCHOOL COMPLETED, FATHER
ANOVA b
Model Sum of Squares df Mean Square F Sig.
1 Regression 6231.521 1 6231.521 623.457 .000 a
Residual 9045.579 905 9.995
Total 15277.100 906
  1. Predictors: (Constant), HIGHEST YEAR SCHOOL COMPLETED, MOTHER
b. Dependent Variable: HIGHEST YEAR SCHOOL COMPLETED, FATHER
Coefficients a
Model Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B
B Std. Error Beta Lower Bound Upper Bound
1 (Constant) 2.572 .367 7.009 .000 1.852 3.292
HIGHEST YEAR SCHOOL COMPLETED, MOTHER .760 .030 .639 24.969 .000 .701 .820
  1. Dependent Variable: HIGHEST YEAR SCHOOL COMPLETED, FATHER
Residuals Statistics a
Minimum Maximum Mean Std. Deviation N
Predicted Value 2.57 17.78 11.35 2.623 907
Std. Predicted Value -3.348 2.450 .000 1.000 907
Standard Error of Predicted Value .106 .367 .140 .050 907
Adjusted Predicted Value 2.44 17.82 11.35 2.624 907
Residual -11.696 9.825 .000 3.160 907
Std. Residual -3.699 3.108 .000 .999 907
Stud. Residual -3.701 3.110 .000 1.001 907
Deleted Residual -11.709 9.838 .000 3.167 907
Stud. Deleted Residual -3.728 3.125 .000 1.002 907
Mahal. Distance .017 11.209 .999 1.800 907
Cook's Distance .000 .062 .001 .003 907
Centered Leverage Value .000 .012 .001 .002 907
  1. Dependent Variable: HIGHEST YEAR SCHOOL COMPLETED, FATHER

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document


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