Format Tools Table Window Help Q Searc Hw5(2) n Layout References Mailings Revie

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Format Tools Table Window Help Q Searc Hw5(2) n Layout References Mailings ReviewView AaBbCcDdEe AaBbs Normal No S 12. Using the output for the regression of vocabulary score, answer the questions below. Your answers should reference the specific value you are using for your answer. Use alpha-0.05 for any determination of significance. Model Summary (Vocab Score) RRSquare Adjusted R Squore Std. Error of the Estimate 36 13 14.01 ANOVA (Vocab Score) Sum Mean SquareF 93205.70 63142417 3219 724629.87 3222 1068.57 158.39 000 Regression Residual Total 196.16 Coefficients (Vocab Score) Unstandardized Coefficients Standardized Coefficients Beto stant)Std. Error 1.33 02 01 Cons 82.08 -26 10 -47 00 61.82 000 11 15.76 000 31 18.38 000 02 94 346 Mother age HH Income a. How much would vocabulary score be expected to increase for every additional year of the mother's age, if all else is held constant? b. Is household income a significant predictor of children's vocabulary score? c. What is the expected difference in vocabulary scores between boys and girls if mother's age and household income are held constant? Is sex a significant predictor of vocabulary score? d. ras English (US)

Explanation / Answer

From the ANOVA output shown, the regression equation can be written as follows:

Vocabulary Score = 82.08 + 0.26 x Mother's age + 0.10 x Household Income - 0.47 x gender

a. From the above equation, for every additional year of the mother's age, vocabulary score would increase by 0.26.

b. Since the significance score for HH_Income is 0.000 < 0.05, the null hypothesis that means of household income doesn't have any effect can be rejected. So we can conclude that household income is a significant predictor of vocabulary score.

c. The coefficient of the 'Female' variable is -0.47. So the expected difference between boys' and girls' score is 0.47, other variables such as mother's age and household income remaining constant.

d.The p-value for the Female variable is 0.346 > 0.05. Hence this is a significant variable, null hypothesis that sex doesn't have an effect can be rejected. So we can conclude that sex is a significant predictor of vocabulary score.

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