14.26 ● This exercise requires the use of a computer package.

The article “Movement and Habitat Use by Lake Whitefish During Spawning in a Boreal Lake: Integrating Acoustic Telemetry and Geographic Information Systems” (Transactions of the American Fisheries Society [1999]: 939–952) included the accompanying data on 17 fish caught in 2 consecutive years.
Year Fish Number Weight (g)
Length (mm)
Age (years)
Year 1 1 776 410 9 2 580 368 11 3 539 357 15 4 648 373 12 5 538 361 9 6 891 385 9 7 673 380 10 8 783 400 12 Year 2 9 571 407 12 10 627 410 13 11 727 421 12 12 867 446 19 13 1042 478 19 14 804 441 18 15 832 454 12 16 764 440 12 17 727 427 12

a. Fit a multiple regression model to describe the relationship between weight and the predictors length and age.

b. Carry out the model utility test to determine whether at least one of the predictors length and age are useful for predicting weight.