The data shown in the gtable are the number of years of formal education of the

Question

The data shown in the gtable are the number of years of formal education of the fathers and mothers of a sample of 29statitics shudents at a small communily collge in an area with many recent ivenigants. The (not shown) suggests a linear trend Complete parts a through EEI Click the icon to view the data table for the number years of formal education a. Find and report the regression equation for predicting the mother's years of education from the father's. Then find the predicted number of years for the mother &the father has 12 years of education and ind the predded number of years for a mother if the father has 4 years of education State the regression equation for predicting the mothers years of edacation from the fathers Predicted Mother's EducationDFather's Round to two decimall places as needed) Using the found regression line, find the predicted number of years for the mother the father has 12 years of education years Round to two decimal places as needed) Using the found regression ine. ind the predicted number of years for the mother if the father has 4 years of education Round to two decimal places as needed)

Explanation / Answer

a)

mother's education^ = 5.79 + 0.34 *father's education

b)

x= 12

y^ = 5.79 + 0.34 *12

= 9.87

c)

x = 4

Y^ = 5.79 + 0.34 *4

= 7.15

SUMMARY OUTPUT Regression Statistics Multiple R 0.374324251 R Square 0.140118645 Adjusted R Square 0.078698548 Standard Error 2.991985813 Observations 16 ANOVA df SS MS F Significance F Regression 1 20.42229255 20.42229255 2.281315931 0.153178263 Residual 14 125.3277075 8.951979104 Total 15 145.75 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 5.794655415 1.714621132 3.379554414 0.004491923 2.117158836 9.472152 father 0.338959212 0.224416469 1.510402573 0.153178263 -0.142366243 0.820285

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