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 y represent the average annual gallons of fuel wasted per person in traffic delays. A random sample of eight cities showed the following data. x (hr) 28 5 21 39 18 22 15 5 y (gal) 48 3 35 54 33 36 27 9 Verify that Σx = 153, Σx2 = 3829, Σy = 245, Σy2 = 9649, and Σxy = 6036. (a) 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) 23 4 20 40 19 29 2 39 y (gal) 60 8 13 53 24 32 4 71 (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 (c)Verify that Σx = 176, Σx2 = 5272, Σy = 265, Σy2 = 13,299, and Σxy = 7953. Compute r.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.5: Descriptive Modeling And Accuracy

Problem 29PFA

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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 y represent the average annual gallons of fuel wasted per person in traffic delays. A random sample of eight cities showed the following data.

x (hr)	28	5	21	39	18	22	15	5
y (gal)	48	3	35	54	33	36	27	9

Verify that Σx = 153, Σx² = 3829, Σy = 245, Σy² = 9649, and Σxy = 6036.

(a) 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)	23	4	20	40	19	29	2	39
y (gal)	60	8	13	53	24	32	4	71

(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 s_x and s_y for both sets of data pairs and compare the standard deviations.

	s_x	s_y
Data 1
Data 2

(c)Verify that Σx = 176, Σx² = 5272, Σy = 265, Σy² = 13,299, and Σxy = 7953.

Compute r.

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