In an article in Statistics and Computing Carlin and Gelfand investigation the a

Question

In an article in Statistics and Computing Carlin and Gelfand investigation the age (x) and length (y) of 27 captured dugongs The R outputs of the regression procedure are as follows: Based on the R outputs answer the following question. Find the regression line relating the mean length of dugongs and age. Predict the mean length of dugongs when ago 30. Test the hypotheses H_0: beta_1 = 0, versus H_1: beta_1 isnotequalto 0. What is the coefficient of determination, R^2? What is an estimate of sigma^2?

Explanation / Answer

a) Regreesion

Y = 2.02 + 0.0287*X

b)

x = 30

Y = 2.881

c)

F = 52.42

p value is very small so we reject Ho

d)

R^2 = 0.6771

e)

sigma^2 = 0.1592^2 = 0.025

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