Question 3.In the transportation network below, letXthe travel time on link i = 1, 2,....53start AB5From historical records, we have good estimations of the link travel times: 10, 12, 13, 4, and 16 minutes,respectively for each link i = 1,2.....5. The covariance matrix is also known:1.0.0. 12.960. 9.830. 0. 0.9.83 0. 0.15.21 0.62 0.0.0.0.62 0.16 0.0.0.0.0. 1.a) Explain how to use the central limit theorem to answer questions b), c) and d) below.b) What is the fastest route from A to B in terms of the expected travel time?c) What is the probability that route A D B is faster than A C B?d) What is the probability that route A D B is faster than A CD B?

To solve the problem, we need to analyze the transportation network and calculate probabilities…

Answered: Question 3. In the transportation…

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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A perfect straight line sloping downward would produce a correlation coefficient equal to: O A. -1 В. +1 C. -2 D. +2 Generally speaking, if two variables are unrelated (as one increases, the other shows no pattern), the covariance will be: O A. a large negative number B. a positive or negative number close to zero C. a large positive number D. none of the above
Which scatterplot shows a nonlinear association?
A scientist collects the two sets of measurements x = {11.70,13.34,12.69,12.92,12.96,12.96,14.90} and y = {62.50,68.50,76.50,77.00,72.50,88.00,93.5 0}. The covariance between the two sets is: O 1012.09 6.74 0.76 O 7.86 none of these O000 C
Generally speaking, if two variables are unrelated (as one increases, the other shows no pattern), the covariance will be: A perfect straight line sloping downward would produce a correlation coefficient equal to: A) +2 B) +1 C) -1 D) -2
section 4.7 Step 1 of 2 : Determine the correlation coefficient. Round your answer to two decimal places. r= step 2 of 2: Describe the relationship indicated by the scatterplot and the correlation coefficient from Step 1. A.) Tightly clustered in a positive linear fashion B.) no linear relationship C.) Loosely clustered in a positive linear fashion D.) Tightly clustered in a negative linear fashion E.) Loosely clustered in a negative linear fashion
Question 2 Determine the correlation coefficient for the data shown in this table: x1 4 8 12 29 26 41 15 19 y 23 29 41 a) O-0.7447 b) 00.7447 c) O-0.5546 d) 00.3724 e) O0.5546 f) ONone of the above Review Later
If Data A has a correlation coefficient of r= -0.991, and Data B has a correlation coefficient of r 0.991, which correlation is correct? O A. Data A has a weaker linear correlation than Data B. B. Data A and Data B have the same strength in linear correlation. OC. Data A has a stronger linear correlation than Data B.
QUESTION 6 Generally speaking, if two variables are unrelated (as one increases, the other shows no pattern), the covariance will be: a. a large positive number. b. a large negative number. c. a positive or negative number close to zero. d. None of these choices.
Q2. Given the following correlation matrix: X₁ X₁ X₂ X3 X4 X5 ** p < .01 -.11** .31*** .14** .13** X₂ -.20*** -.31*** -.27*** *** X3 .44*** .49*** X4 .42*** X5 p<.001 a) Which is the best predictor of X3? b) Which is the stronger correlation - 1₁3 or 124? c) What is the proportion of variance in X₁ explained by each predictor?
The following matrix shows the bivariate correlations for houses with garages. Baths Beds Sqft Age Price Baths 1 Beds 0.591 1 Sqft 0.696 0.626 1 Age -0.427 -0.133 -0.069 1 Price 0.643 0.374 0.767 -0.099 1 Baths: # of bathrooms in the house Beds: # of bedrooms in the house Sqft: # of square feet in the house Age: age of the house in years Price: selling price of house Answer the following: a) Do older houses with garages sell for lower or higher prices than newer houses with garages on average? Are older houses with garages smaller or larger than newer houses with garages on average? b) Is the correlation between baths and age weaker or stronger than correlation between beds and price? c) Is the correlation between age and sqft weaker or stronger than the correlation between age and price?
Answer for Question 2, Parts A, B, and C.
A random sample for five exam scores produced the following (hours of study, grade) data values:Hours Studied (x) Test Grade (y)3.5 882.4 764 925 851.1 60a. Compute the covariance.b. Compute the correlation coefficient

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