My Notes Ask Your Teacher 13. 0.34/1 points I Previous Answers MIntroStat8 2.E.0

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My Notes Ask Your Teacher 13. 0.34/1 points I Previous Answers MIntroStat8 2.E.087. The data from data153.dat contains information on 78 seventh-grade students. We want to know how well each of IQ score and self-concept score predicts GPA using least-squares regression. We also want to know which of these explanatory variables predicts GPA better. Give numerical measures that answer these questions. (Round your answers to three decimal places.) (Regressor Q) R 2 (Regressor: Self-Concept) R 2 Enter a number. is the better predictor? O IQ O Self Concept eBook

Explanation / Answer

Independent variable, X: IQ

Dependent variable, Y: GPA

Following is the output of the regression analysis:

The r-sqaure is: 0.001

---------------------

Independent variable, X: Concept

Dependent variable, Y: GPA

Following is the output of the regression analysis:

The r-square is : 0.049

So self concept is better.

SUMMARY OUTPUT Regression Statistics Multiple R 0.022858207 R Square 0.000522498 Adjusted R Square -0.012628522 Standard Error 2.454566451 Observations 78 ANOVA df SS MS F Significance F Regression 1 0.239372618 0.239372618 0.039730578 0.842540608 Residual 76 457.8921312 6.024896464 Total 77 458.1315038 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 7.586455163 1.816322489 4.176821686 7.80853E-05 3.968935467 11.20397486 iq,X 0.003523993 0.017679605 0.199325307 0.842540608 -0.031687991 0.038735976

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