total years of education and an indicator variable for female (1 if yes, 0 otherwise). SUMMARY OUTPUT Regression Statistics Multipie R RSquare Ad. R Square Standard Emor Observations 0.491 0.241 0.217 2.680 100 ANOVA Significance F 7.23-06 SS MS Regression Residual Total 218.562 72.854 10.147 96 689 278 7.180 99 907 840 Standard Emor 1.030 0.104 0.130 t Stat P-value 7.953 3.57E-12 2.915 Coeficients Intercept Father Mother Female (1ayes Lower 95% Upper 95% 6.201 0.097 0.12 8.264 10.326 0.304 0.146 0.511 0.404 0.004 1.126 0.263 0404 0451 0 539 -0837 -1.521 0618

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Author:Amos Gilat
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The following output is trom a regression of childrens' years of education on parents
total years of education and an indicator variable for female (1 if yes, 0 otherwise).
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adj. R Square
Standard Error
0.491
0.241
0.217
2.680
Observations
100
ANOVA
Significance F
7.23E-06
MS
Regression
Residual
218.562 72.854
3
10.147
96
689.278
7.180
Total
99 907.840
Coefficients
8.264
0.304
Standard
Error
1.039
0.104
0.130
Lower 95% Upper 95%
6.201
0.097
t Stat
P-value
Intercept
Father
7.953 3.57E-12
2.915
10.326
0.511
0.004
Mother
0.146
1.126
0.263
-0.112
0.404
Female (1=yes)
0451
0 539 -0.837
0.404
-1.521
0618
Transcribed Image Text:The following output is trom a regression of childrens' years of education on parents total years of education and an indicator variable for female (1 if yes, 0 otherwise). SUMMARY OUTPUT Regression Statistics Multiple R R Square Adj. R Square Standard Error 0.491 0.241 0.217 2.680 Observations 100 ANOVA Significance F 7.23E-06 MS Regression Residual 218.562 72.854 3 10.147 96 689.278 7.180 Total 99 907.840 Coefficients 8.264 0.304 Standard Error 1.039 0.104 0.130 Lower 95% Upper 95% 6.201 0.097 t Stat P-value Intercept Father 7.953 3.57E-12 2.915 10.326 0.511 0.004 Mother 0.146 1.126 0.263 -0.112 0.404 Female (1=yes) 0451 0 539 -0.837 0.404 -1.521 0618
If you wanted to test whether the variable of gender has a significant impact on a childs' education what information would
you use?
Ot-stat = -0.837, p-value = 0.404
Ot-stat = 2.915, p-value = .004
OF-stat = 10.147, p-value = 7.23E-06
Ot-stat = 1.126. p-value = 0.263
Othis test cannot be performed with the given information
Using a step-wise regression to build a model, which variable (if any) would be removed first?
O Mother
O Gender
O Father
Onone would be removed
How many total observations are in this data set?
How many independent variables are in this data set?
What is the denominator degrees of freedom for the test of the overall significance of the regression?
If we removed one of the variables from the model (does not matter which), what are we sure would happen?
Owe are sure that R2 will not decrease
Owe are sure that R2 will not increase
Owe are sure that adjusted R2 will not increase
Owe are sure that adjusted R2 will not decrease
Onone of the above
Transcribed Image Text:If you wanted to test whether the variable of gender has a significant impact on a childs' education what information would you use? Ot-stat = -0.837, p-value = 0.404 Ot-stat = 2.915, p-value = .004 OF-stat = 10.147, p-value = 7.23E-06 Ot-stat = 1.126. p-value = 0.263 Othis test cannot be performed with the given information Using a step-wise regression to build a model, which variable (if any) would be removed first? O Mother O Gender O Father Onone would be removed How many total observations are in this data set? How many independent variables are in this data set? What is the denominator degrees of freedom for the test of the overall significance of the regression? If we removed one of the variables from the model (does not matter which), what are we sure would happen? Owe are sure that R2 will not decrease Owe are sure that R2 will not increase Owe are sure that adjusted R2 will not increase Owe are sure that adjusted R2 will not decrease Onone of the above
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