MATH/STAT 3360, Probability
FALL 2015
Sample Final Examination
Model Solutions
This Sample examination has more questions than the actual final, in order
to cover a wider range of questions. Estimated times are provided after each
question to help your pr

Assignment 5, due Nov. 27 2015
1. In assignment 2 and 3 and 4 you worked with data on fish lengths, with
age and water temperature as predictors. You have now fitted a
quadratic model
y = 0 + 1 x1 + 2 x2 + 3 x1 x2 + 4 x21 + 5 x22 +
(6)
(a) Determine whet

Assignment 2, due Oct. 21 2015 SOLUTIONS
The length of a species of fish is to be represented as a function of the age and water
temperature. The fish are kept in tanks at 25, 27, 29 and 31 degrees Celsius. After
birth, a test specimen is chosen at random

Assignment 6, due Dec. 7, 2015 Solutions
1. We have fitted the model
loss = 0 +1 Air.F low+2 Acid.Conc+3 W ater.T emp+4 W ater.T emp2 +
(3)
(a) Obtain the leverage values for this model. Are any above the usual
cutoff of 2p/n? If so, explain why this case

Assignment 3, due Oct. 28 2015 Solutions
1. In assignment 2 you worked with data on fish lengths, with age and water
temperature as predictors. We saw that there was curvature in the
residual plots, and so the full quadratic model
y = 0 + 1 x1 + 2 x2 + 3

Assignment 1, due Oct 2, 2015
(4)
1. Find the equation of the line which passes through the points (1,1) and
(3,5).
slope = rise/run, so slope = (5-1)/(3-1) = 2
y-intercept is -1, because a decrease in 1 in the horizontal direction
leads to a change of

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Student Number: _
STATISTICS 3340/ MATH 3340 Final Exam, Sat. Dec. 19. 2009
Please answer the questions in the space provided. Justify your answers.
Three sheets of formulae/notes. letter size, are permitted.
1. A data set contains information on the

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ermitted.
Please answer the questions in the space pr
the t with innite degrees
One sheet of formulae] notes. letter size. and a calculator are p
Tables are provided for t and F. For the normal distribution use
of freedo

STAT 3340 Assignment 1 solutions
(out of 125 points)
(10)
1. Find the equation of the line which passes through the points (1,1) and (4,5).
1 = (5 1)/(4 1) = 4/3
equation for the line is y y0 = 1 (x x0 ), where (x0 , y0 ) is a point on the line. Using the