If the eruption lasts only a short amount of time, the waiting time until the next eruption will be ---Select--- long or short, indicating that the pressure buildup within the geyser was ---Select--- totally or not totally dissipated during the erupti

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If the eruption lasts only a short amount of time, the waiting time until the next eruption will be ---Select--- long or short, indicating that the pressure buildup within the geyser was ---Select--- totally or not totally dissipated during the eruption.

The walting time between eruptions of the Old Falthful geyser in Yellowstone National Park depends upon the length in time of the last eruption. A representative sample of 10 data pairs for the eruption duration in minutes (x) and the walting time in minutes till the next eruption (y) appears below.
4.327 3.957 4.71 4.293 2.257 4.706 2.027 4.127 4.743 1.79
81 89
55 90
83
79
49
79
75 53
A USE SALT
(a) Find the least-squares line to describe the waiting time as a function of the eruption time, (Round vour numerical values to two decimal places. )
(b) Draw a scatterplot of the data along with the least-squares line.
y
sot
5.of
50
so
90
90
45
4.5
40
4.0
3.5
35
70
3.0
sof
25
25
G0
20
20
50
30
50
GO
70
80
90
2.0
2.5
3.0
3.5
4.0
4.5
5.0
50
GO
70
80
90
2.0
2.5
3.0
35
4.0
4.3
5.0
What unusual feature do you see?
O The number of points above and below the least-squares line are equal.
O Some points with higher x values have unusually low y values.
O Some points with higher x values have unusually high y values.
O There are three distindt dusters of points.
O There are two distinct clusters of points.
Can you think of any way to explain this feature?
If the eruption lasts only a short amount of time, the walting time until the next enuption will bel
-Select- V, indicating that the pressure buldup within the geyser was -Select V dissipated during the eruption.
Transcribed Image Text:The walting time between eruptions of the Old Falthful geyser in Yellowstone National Park depends upon the length in time of the last eruption. A representative sample of 10 data pairs for the eruption duration in minutes (x) and the walting time in minutes till the next eruption (y) appears below. 4.327 3.957 4.71 4.293 2.257 4.706 2.027 4.127 4.743 1.79 81 89 55 90 83 79 49 79 75 53 A USE SALT (a) Find the least-squares line to describe the waiting time as a function of the eruption time, (Round vour numerical values to two decimal places. ) (b) Draw a scatterplot of the data along with the least-squares line. y sot 5.of 50 so 90 90 45 4.5 40 4.0 3.5 35 70 3.0 sof 25 25 G0 20 20 50 30 50 GO 70 80 90 2.0 2.5 3.0 3.5 4.0 4.5 5.0 50 GO 70 80 90 2.0 2.5 3.0 35 4.0 4.3 5.0 What unusual feature do you see? O The number of points above and below the least-squares line are equal. O Some points with higher x values have unusually low y values. O Some points with higher x values have unusually high y values. O There are three distindt dusters of points. O There are two distinct clusters of points. Can you think of any way to explain this feature? If the eruption lasts only a short amount of time, the walting time until the next enuption will bel -Select- V, indicating that the pressure buldup within the geyser was -Select V dissipated during the eruption.
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