8.3 The peak-hour traffic volume and the daily traffic volume on a given highway bridge have been observed for 7 days. The observed data are as shown below: (a) Plot a graph showing the peak-hour traffic volume vs. the daily traffic volume. (b) Estimate the correlation coefficient between the peak-hour traffic volume and the daily traffic volume.

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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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8.3 The peak-hour traffic volume and the daily traffic volume
on a given highway bridge have been observed for 7 days. The
observed data are as shown below:
(a) Plot a graph showing the peak-hour traffic volume vs. the
daily traffic volume.
(b) Estimate the correlation coefficient between the peak-hour
traffic volume and the daily traffic volume.
Transcribed Image Text:8.3 The peak-hour traffic volume and the daily traffic volume on a given highway bridge have been observed for 7 days. The observed data are as shown below: (a) Plot a graph showing the peak-hour traffic volume vs. the daily traffic volume. (b) Estimate the correlation coefficient between the peak-hour traffic volume and the daily traffic volume.
(c) Suppose that the total traffic count on a given day has been
observed to be 55,000 vehicles. What is the probability that the
peak-hour traffic volume on that day exceeded 7000 vehicles per
hour? (Hint: Use an appropriate regression analysis.)
X
Peak-hour
Traffic Volume
(in 1000)
1.5
4.6
3.0
5.5
7.8
6.8
6.3
Y
Daily traffic
volume
(in 10,000)
0.6
3.4
2.5
2.8
4.8
6.4
5.0
Transcribed Image Text:(c) Suppose that the total traffic count on a given day has been observed to be 55,000 vehicles. What is the probability that the peak-hour traffic volume on that day exceeded 7000 vehicles per hour? (Hint: Use an appropriate regression analysis.) X Peak-hour Traffic Volume (in 1000) 1.5 4.6 3.0 5.5 7.8 6.8 6.3 Y Daily traffic volume (in 10,000) 0.6 3.4 2.5 2.8 4.8 6.4 5.0
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