Data Analysis on Heights_1

Data Analysis on Heights_1 - Data Analysis on Heights To...

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55 60 65 70 55 60 65 70 Mheight Dheight Data Analysis on Heights To see if there is an association between a mother’s height and her daughter’s height, first we look into the scatter plot of Dheight versus Mheight (Figure1). The scatter of points appears to follow an upward elliptical shape, which may suggest the use of a simple linear regression model of Dheight on Mheight. Figure1: Scatter plot of mother’s and daughter’s heights
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The model summary and ANOVA table can be obtained as below: lm(formula = Dheight ~ Mheight) Residuals: Min 1Q Median 3Q Max -7.39740 -1.52866 0.03600 1.49211 9.05250 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 29.91744 1.62247 18.44 <2e-16 *** Mheight 0.54175 0.02596 20.87 <2e-16 *** --- Residual standard error: 2.266 on 1373 degrees of freedom Multiple R-squared: 0.2408, Adjusted R-squared: 0.2402 F-statistic: 435.5 on 1 and 1373 DF, p-value: < 2.2e-16 Analysis of Variance Table Response: Dheight Df Sum Sq Mean Sq F value Pr(>F) Mheight
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This note was uploaded on 01/15/2010 for the course MATH 423 taught by Professor Steele during the Spring '06 term at McGill.

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Data Analysis on Heights_1 - Data Analysis on Heights To...

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