Question
Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted and fuel wasted. Let x represent the average
Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted and fuel wasted. Let x represent the average annual hours per person spent in traffic delays and let yrepresent the average annual gallons of fuel wasted per person in traffic delays. A random sample of eight cities showed the following data.
x (hr) | 25 | 5 | 18 | 39 | 20 | 23 | 16 | 5 |
y (gal) | 47 | 3 | 31 | 56 | 31 | 37 | 27 | 9 |
Verify that Σx = 151, Σx2 = 3705, Σy = 241, Σy2 = 9455, and Σxy = 5880.
Compute r.
The data in part (a) represent average annual hours lost per person and average annual gallons of fuel wasted per person in traffic delays. Suppose that instead of using average data for different cities, you selected one person at random from each city and measured the annual number of hours lost x for that person and the annual gallons of fuel wasted y for the same person.
x (hr) | 22 | 4 | 23 | 42 | 17 | 27 | 2 | 37 |
y (gal) | 61 | 8 | 13 | 51 | 24 | 33 | 4 | 70 |
(b) Compute x and y for both sets of data pairs and compare the averages.
x | y | |
Data 1 | ||
Data 2 |
Compute the sample standard deviations sx and sy for both sets of data pairs and compare the standard deviations.
sx | sy | |
Data 1 | ||
Data 2 Verify that Σx = 174, Σx2 = 5184, Σy = 264, Σy2 = 13,136, and Σxy = 7712. |
Step by Step Solution
3.47 Rating (157 Votes )
There are 3 Steps involved in it
Step: 1
Solution a Correlation r nxy Exynx Exny y05 r 85880 ...Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started