Fit a multiple regression model to describe the relationship between weight and the predictors length and age. (Use x1 for length and x2 for age. Round your numerical values to two decimal places.)  =        (b) Carry out the model utility test to determine whether at least one of the predictors length and age are useful for predicting weight. Use a significance level of 0.05. Calculate the test statistic and find the P- value. (Round your answer to two decimal places.) F =  P-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An article included the accompanying data on 17 fish caught in 2 consecutive years.
Year Fish
Number
Weight
(g)
Length
(mm)
Age
(years)
Year 1 1 777 410 9
  2 581 368 11
  3 540 357 15
  4 647 373 12
  5 537 361 9
  6 892 385 9
  7 674 380 10
  8 782 400 12
Year 2 9 570 407 12
  10 628 410 13
  11 728 421 12
  12 866 446 19
  13 1,043 478 19
  14 803 441 18
  15 833 454 12
  16 765 440 12
  17 728 427 12
(a)
Fit a multiple regression model to describe the relationship between weight and the predictors length and age. (Use x1 for length and x2 for age. Round your numerical values to two decimal places.)
 = 
 
 
 
(b)
Carry out the model utility test to determine whether at least one of the predictors length and age are useful for predicting weight. Use a significance level of 0.05.
Calculate the test statistic and find the P- value. (Round your answer to two decimal places.)
F = 
P-value = 
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