This exercise requires the use of a statistical software package. An article included the accompanying data on 17 fish caught in 2 consecutive years. ŷ Year = Year 1 Year 2 Fish Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Weight Length (g) (mm) 775 581 540 647 539 890 674 784 570 626 728 868 1,041 805 833 765 728 410 368 357 373 361 385 380 400 407 410 421 446 478 441 454 440 427 Age (years) 9 11 15 12 9 9 10 12 12 13 12 19 19 18 12 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.) 12 (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. (Round your answer to two decimal places.) F = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. We have convincing evidence that at least one of the predictors length and age are useful for predicting weight. O Fail to reject Ho. We do not have convincing evidence that at least one of the predictors length and age are useful for predicting weight. O Reject Ho. We do not have convincing evidence that at least one of the predictors length and age are useful for predicting weight. O Fail to reject Ho. We have convincing evidence that at least one of the predictors length and age are useful for predicting weight.
This exercise requires the use of a statistical software package. An article included the accompanying data on 17 fish caught in 2 consecutive years. ŷ Year = Year 1 Year 2 Fish Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Weight Length (g) (mm) 775 581 540 647 539 890 674 784 570 626 728 868 1,041 805 833 765 728 410 368 357 373 361 385 380 400 407 410 421 446 478 441 454 440 427 Age (years) 9 11 15 12 9 9 10 12 12 13 12 19 19 18 12 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.) 12 (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. (Round your answer to two decimal places.) F = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. We have convincing evidence that at least one of the predictors length and age are useful for predicting weight. O Fail to reject Ho. We do not have convincing evidence that at least one of the predictors length and age are useful for predicting weight. O Reject Ho. We do not have convincing evidence that at least one of the predictors length and age are useful for predicting weight. O Fail to reject Ho. We have convincing evidence that at least one of the predictors length and age are useful for predicting weight.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:This
exercise requires the use of a statistical software package.
An article included the accompanying data on 17 fish caught in 2 consecutive years.
Year
Year 1
Year 2
Fish
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Weight Length
(g)
(mm)
775
581
540
647
539
890
674
784
570
626
728
868
1,041
805
833
765
728
410
368
357
373
361
385
380
400
407
410
421
446
478
441
454
440
427
Age
(years)
9
11
15
12
9
9
10
12
12
13
12
19
19
18
12
12
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. (Round your answer to two decimal places.)
F =
Use technology to calculate the P-value. (Round your answer to four decimal places.)
P-value =
What can you conclude?
O Reject Ho. We have convincing evidence that at least one of the predictors length and age are useful for predicting weight.
O Fail to reject Ho. We do not have convincing evidence that at least one of the predictors length and age are useful for predicting
weight.
O Reject Ho. We do not have convincing evidence that at least one of the predictors length and age are useful for predicting weight.
O Fail to reject Ho. We have convincing evidence that at least one of the predictors length and age are useful for predicting weight.
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