Does the general relationshipbetween metabolic rate and body mass described in Example

Chapter 0, Problem 28.8

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Does the general relationshipbetween metabolic rate and body mass described in Example 28.10 hold for tobaccohornworm caterpillars? The Minitab output (see page 28-24) was obtained byregressing the response variable log(MR) on log(BM) for the data provided inTable 28.3.(a) Use the regression equation from the Minitab output to estimate and inthe general relationship MR = (B M) or log(MR) = log() + log(B M).Recall that the predicted model is y = a + b log(B M).(b) Residual plots for the linear regression model log(MR) = + log(B M) areshown on page 28-25. Do you think that the conditions for inference are satisfied? (c) Identify the percent of variation in log(MR) that is explained by using linearregression with the explanatory variable log(B M). (d) Even if you noticed some departures from the conditions for inference, theresearchers were interested in making inferences because this model is wellknown in the field and has been used for a variety of different insects and animals.Find a 95% confidence interval for the slope parameter .(e) Are the values = 2/3 and = 3/4 contained in your confidence interval?(f) Use appropriate values from the Minitab output to test the claim that = 2/3.(g) Use appropriate values from the Minitab output to test the claim that = 3/4.

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