🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →
Log in
Statistics
2
answers
0
watching
221
views
16 Mar 2018

2. [5 marks) For the function f(2) - compute the limit f(x+h)-f(x) lim h0 h Show all of your work. Only partial credit will be given for the answer if no work is shown.

word_media_image1.jpeg
Watch
2
answers
0
watching
221
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Avatar image
Read by 1 person

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share
Reid Wolff
Reid WolffLv2
19 Mar 2018
Already have an account? Log in
Share

Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

2. BRIEF SOLUTIONS (2 MARKS EACH Give the numeric value of each of the following limits if it exists; if the limit is too or -o, write too or-o respectively. In all other cases write "NO FINITE OR INFINITE LIMIT”. 1 1 (a) lim arctan (1- x 21+ ANSWER ONLY

Q5. Let (Ω, F , P) be a probability space. Let λ > 0 be some constant.

  1. (a)  Give the definition of a random variable X on R ∪ {−∞, +∞}.

  2. (b)  Define the distribution function FX for the RV X.

[6 marks]

[1 marks]

[1 marks] (c) Suppose that Y is a RV on R ∪ {−∞, +∞} with distribution function given by

􏰄3 −1e−λy (y≥0)

[6 marks]

page1image62001664 page1image62003968

FY (y) = 4 2 1

(y < 0).
For any a < b, determine P(Y > a), and P(Y ∈ (a, b]). [3 marks]

  1. (d)  By noting {Y < b} = ∪n∈N{Y ≤ b − 1 } and using Continuity of Probability, n

    find P(Y < b). Similarly, find P(Y < ∞) and P(Y = −∞). [4 marks]

  2. (e)  Is Y either a discrete RV, or a continuous RV, or a mixture of both? Explain

    your answer. [1 marks]

Researchers measured the blood pressures of 22 students in
two situations: when the students were relaxed and when the students were taking an
important examination. The file
systolic.txt
lists the systolic and diastolic pressures for
each student in each situation. Dataset is available at
systolic_url = "https://mcs.utm.utoronto.ca/~nosedal/data/systolic.txt"
Use R
to answer each of the following questions. You have to show
all your work
to get
full credit.
Answers, even if correct, with no justifications will not receive any
marks
.
a)
Using R
, compute the change in systolic pressure by subtracting systolic pressure when
relaxed from systolic pressure during the exam; call this variable
X
.
b)
Using R
, repeat part a) for diastolic pressure. Call the resulting variable
Y
.
c)
Using R
, make a scatterplot of
Y
versus
X
, fit a regression line to the data and add
this line to your plot. Use: 2 c) your last name as the main title for your plot. (In my
case it would be: 2 c) Nosedal).
Important note. Use
Y
as your response variable and label horizontal and vertical axes.
d) What is the fitted regression model? Provide slope and y-intercept
explicitly
.
Use R
to find them.
e)
Using R
, make a residual plot from the regression in part c). Does this plot call into
question the use of a linear model? Why?
Note. Use:
2 e) your last name
as the main title for your plot. (In my case it would
be:
2 e) Nosedal
).
f) Note the outlier in the residual plot (and on the scatterplot from part c)).
Using
R
, delete the outlier from the data set. Then repeat parts c) and e). Note. Use:
2 f )
your last name
as the main title for your plots. (In my case it would be:
2 f ) Nosedal
).
g) What is the fitted regression model (after the outlier has been removed)? Provide slope
and y-intercept
explicitly
.
Use R
to find them.

Related Documents

STAT 2507 Lecture Notes - Lecture 5: Bayes Estimator, Minitab
crimsonpanda499
STAT 571
Final Exam
Study Guide
STAT 571 Midterm: STAT 571 UW Madison Fall 03Mid1
turquoisegnu128
STAT 571
Final Exam
Study Guide
STAT 571 Midterm: STAT 571 UW Madison f99Mid2
turquoisegnu128

Weekly leaderboard

Home
Homework Help 3,900,000
Statistics 10,000
Start filling in the gaps now
Log in