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Crab Claws. Reconsider the data on claw closing force and claw size for three species of crabs, shown in Exercise 7.22. Display 10.18 shows output from the least squares fit to the separate lines model for the regression of log force on log height. The regression model for log force was !flforce j lheight, SPECIESgD ?0 C ?1lheight C ?2lb C ?3cp C ?4.lheight x lb/ C ?5.lheight x cp/; where lheight represents log height, lb represents an indicator variable for the second species, and cp represents an indicator variable for the third species. The sample size was 38.
(a) How many degrees of freedom are there in the estimate of a?
(b) What is the p-value for the test of the hypothesis that the slope in the regression of log force on log height is the same for species 2 as it is for species 1?
(c) What is a 95% confidence interval for the amount by which the slope for species 3 exceeds the slope for species 1?
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Senate should not worry. He polls one legion of 1,000 men and finds that 340 of them are barbarians. What is the test statistic for this hypothesis test?
SAT verbal scores are normally distributed with a mean of 401 and a standard deviation of 91. Use the Empirical Rule to determine what percent of the scores lie between 310 and 492.
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a carnival game is supposed to result in a win 30 of the time. the wheel is checked each month. this month the wheel is
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To find a better model, use a transformation on length. One possibility is to use the square. Fit a least squares line using transformed length to predict weight. Write down the equation of the line (model).
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