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Heights of Mothers and Daughters The heights (in inches) of a sample of 134 mother> daughter pairs of subjects were measured and the results are

Heights of Mothers and Daughters The heights (in inches) of a sample of 134 mother> daughter pairs of subjects were measured and the results are listed in Data Set 6 "Family Heights" in Appendix B. StatCrunch results are shown below. StatCrunch also indicates that the P-value is less than 0.0001. Is there sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters? Explain.

Simple linear regression results: Dependent Variable: FIRST DAUGHTER Independent Variable: MOTHER FIRST DAUGHTER = 42.020798 + 0.35953064 MOTHER Sample size: 134 R (correlation coefficient) = 0.35352441 R-sq = 0.12497951 Estimate of error standard deviation: 2.19515 Parameter estimates:

Parameter Estimate Std. Err. Alternative DF T-Stat P-value
Intercept 42.020798 5.3155378 0 132 7.9052769 <0.0001
Slope 0.35953064 0.082801584 0 132 4.3420744 <0.0001

Analysis of variance table for regression model:

Source DF SS MS F-stat P-value
Model 1 90.849583 90.849583 18.85361 <0.0001
Error 132 636.06624 4.8186836
Total 133 726.91582

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