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) | 26 | 5 | 21 | 36 | 18 | 22 | 16 | 5 |
y (gal) | 47 | 3 | 34 | 56 | 32 | 36 | 26 | 9 |
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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) | 21 | 4 | 19 | 43 | 19 | 27 | 2 | 38 |
y (gal) | 63 | 8 | 14 | 50 | 24 | 34 | 4 | 71 |
x | y | |
Data 1 | ||
Data 2 |
s_{x} | s_{y} | |
Data 1 | ||
Data 2 |
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(a)
The scatter diagram for the provided data can be plotted using Excel.
The steps are given below:
The scatterplot is shown below:
The calculations are shown below:
Consider the second data set and the ...
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