A study examines the relationship between the size of the acorn and the geographic range of the oak tree species. Twenty

[answerhappygod]

A Study Examines The Relationship Between The Size Of The Acorn And The Geographic Range Of The Oak Tree Species Twenty 1 (195.95 KiB) Viewed 89 times

A study examines the relationship between the size of the acorn and the geographic range of the oak tree species. Twenty seven (27) species of oak from the Atlantic region and 11 from the California region were studied. The size of each species' acorns was measured to see whether acorn size is related to geographic range. It is suggested that a plant's seed size may have an effect on the geographic range of the plant because larger acorns can only be carried away by larger animals who in turn have a wider territorial range. Since both variables are skewed and the transformed variables are considered as follows, y = (natural) log of the species range area (100km) 27 (natural) log of the acorn (seed) size (cm) The following table provides residual sums of squares from 5 different models using y, 2, and the indicator X, that is 1 if the species is from the Atlantic region and 0 if it is from the California region. = 37 Model Terms in Model Residual Sum of Squares Residual degrees of freedom A Intercept 82.9 B Intercept, 2 78.9 36 с Intercept, 22 36.1 36 D Intercept, 21, 22 23.2 35 E Intercept, 21, 22, 4122 21.9 34 (a) What is the estimate of o; from Model D? (b) Calculate and interpret the value of R for Model D. (c) Test for the overall significance of regression for Model D at a = 0.05. (d) Given the presence of 81 and 12 in Model E, is the interaction term 0122 signif- icant? Conduct the appropriate hypothesis test at a = 0.05. (e) Suppose Model D is adequate, the fitted model is obtained below, y = 5.7+2.811 +0.63.C2. Interpret the coefficient of 22 in terms of the species range area.