Assignment 5, due Oct 31, 2014
1. For the stress data set, test whether there is any linear association between the response BP and the
predictors AGE and ST RESS, given that W EIGHT is already in the model. Use, AND INCLUDE output
from one or more lm ts.
Assignment 1, due Sept. 19 2014
(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 o
Assignment 1, due Sept. 19 2014
1. Find the equation of the line which passes through the points (1,1) and
(3,5).
2. Suppose you are given three data points (1,4), (2,6) and (3,7) and the
line y = 2 + 3x. Give the three residuals and their sum of squares.
Assignment 2, due Sept. 29 2014
1. Suppose X and Y are random variables with x = 10, x = 2, y = 4,
y = 1, and Cov[X, Y ] = 1.5. Calculate
(a) E[2X Y ]
(b) V ar[2X Y ]
(c) Cor[2X, Y ], where Cor stands for correlation.
(d) Find coecients a and b so that Co
Student Number: _
STATISTICS 3340/ MATH 3340 Midterm Test 1. Wed. . Oct 2, 2013
Please answer the questions in the space provided. Justify your answers.
One sheet of formulae/notes, letter size, are permitted.
1. To assess the benefit of the use of CT flu
(2)
(4)
(3)
STATISTICS 3340/MATH 3340 Final Exam. Mon. Dec. 16. 2013
Please answer the questions in the space provided. Justify your answers.
Three sheets of formulae/notes, letter size, are permitted.
1. A random vector v = (in. my has mean p. = c(1.2) a
1
Name: 6W1; _ _ Student Number: _ _
STATISTICS 3340/MATH 3340 Midterm Test, Friday Nov. 1, 2013
Please answer the questions in the space provided. Justify your answers.
One sheet of formulae/notes, letter size. is permitted.
1. The model ,I/ = i0 + Jim +
Assignment 6, 2014 Solutions
1. For the stackloss dataset, we have been using the model
stack.loss = 0 + 1 Air.F low + 2 W ater.T emp + 3 W ater.T emp2 +
(a) Obtain the leverage values for this model and plot them against the case number (order). Discuss
Assignment 5, due Oct 31, 2014
1. For the stress data set, test whether there is any linear association between the response BP and the
predictors AGE and ST RESS, given that W EIGHT is already in the model. Use, AND INCLUDE output
from one or more lm ts.
Assignment 4, due Oct 24, 2014
1. Suppose v = (x, y)T is a random vector with mean vector = (2, 1)T , and variance-covariance matrix
2 1
1 4
=
If a = (2, 3)T , and A =
(2)
1
2
2
4
(a) Calculate the mean of aT v.
Using the formula E(a v) = a E(v)
E(a v) =
Assignment 3, due Oct. 10, 2014
1. In a study of 12 subjects, a correlation of r = .62 was found between
their income and the number of miles driven in a month. Assess whether
the correlation is signicantly dierent from 0.
(2)
(4)
(a) State the two hypoth
Assignment 2, due Sept. 29 2014
1. Suppose X and Y are random variables with x = 10, x = 2, y = 4,
y = 1, and Cov[X, Y ] = 1.5. Calculate
(3)
(4)
(4)
(a) E[2X Y ].
E[2X Y ] = E[2X] E[Y ] = 2E[X] 4 = 2(10) 4 = 16
(b) V ar[2X Y ] .
V ar[2X Y ] = 4V ar[X]
Assignment 6, 2014, Due Nov. 28
1. For the stackloss dataset, consider the model
stack.loss = 0 + 1 Air.F low + 2 W ater.T emp + 3 W ater.T emp2 +
(a) Obtain the leverage values for this model and plot them against the case number (order). Discuss the va
Assignment 4, due Oct 24, 2014
1. Suppose v = (x, y)T is a random vector with mean vector = (2, 1)T , and variance-covariance matrix
=
If a = (2, 3)T , and A =
1
2
2 1
1 4
2
4
(a) Calculate the mean of aT v.
(b) Calculate the variance of aT v.
(c) Calcula
Assignment 3, due Oct. 10, 2014
1. In a study of 12 subjects, a correlation of r = .62 was found between
their income and the number of miles driven in a month. Assess whether
the correlation is signicantly dierent from 0.
(a) State the two hypotheses.
(b
STAT 3340 Assignment 1, due Oct. 2 2015
1. Find the equation of the line which passes through the points (1,1) and
(3,5).
2. Suppose you are given three data points (1,4), (2,6) and (3,7) and the
line y = 2 + 3x. Give the three residuals and their sum of