Exercise 5.46 presented data on x squawfish length and y

Chapter 0, Problem 13.70

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Exercise 5.46 presented data on x squawfish length and y maximum size of salmonid consumed, both in mm. Use the accompanying MINITAB output along with the values 343.27 and Sxx 69,112.18 to answer the following questions. The regression equation is Size = 89.1 = 0.729length Predictor Coef Stdev t-ratio p Constant 89.09 16.83 5.29 0.000 length 0.72907 0.04778 15.26 0.000 s = 12.56 R-sq = 96.3% R-sq(adj) = 95.9% Analysis of Variance Source DF SS MS F p Regression 1 36736 36736 232.87 0.000 Error 9 1420 158 Total 10 38156 a. Does there appear to be a useful linear relationship between length and size? b. Does it appear that the average change in maximum size associated with a 1-mm increase in length is less than .8 mm? State and test the appropriate hypotheses. c. Estimate average maximum size when length is 325 mm in a way that conveys information about the precision of estimation. d. How would the estimate when length is 250 mm compare to the estimate of Part (c)? Answer without actually calculating the new estimate.