Question
In: Statistics and Probability
The eruption height and the time interval after eruption of a geyser were measured and are...
The eruption height and the time interval after eruption of a geyser were measured and are shown below. Answer parts a-c.
|
Height (x) |
125 |
135 |
85 |
95 |
100 |
95 |
115 |
105 |
|
|
Interval after (y) |
58 |
62 |
40 |
45 |
47 |
48 |
57 |
50 |
a. Find the value of the linear correlation coefficient r.
b. Find the critical values of r from the table showing the critical values for the Pearson correlation coefficient using
alpha=0.05.
c. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
Solutions
orchestra answered 2 years agoRelated Solutions
The eruption height and the time interval after eruption of a geyser were measured and are...
The eruption height and the time interval after eruption of a
geyser were measured and are shown below. Answer parts a-c.
Height (x) Interval after (y)
140 75
130 71
115 59
140 73
112 64
110 56
100 54
120 68
a. Find the value of the linear correlation coefficient r.
b. Find the critical values of r from the table showing the
critical values for the Pearson correlation coefficient using
α=0.05
c. Is there sufficient evidence to conclude...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the height of the current eruption be the explanatory
variable (denoted by x). Then use this equation to determine the
predicted length of the time interval after an eruption given that
the current eruption has a height of 113feet.
Height (ft), Interval after (min)
96 66
128 85
75 59
128 86
88 70
73 75
80 73...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the next
eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of
120
feet. Use a significance level of 0.05.
Height (ft)
Height (ft) Interval after (min)
96 68
111 80
76 66
91 72
66 58
108 79
116 84
91 ...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of 126 feet. Use a
significance level of 0.05.
Height (ft) Interval after (min)
84 76
122 77
78 67
108 87
73 61
105 77
122 87
78 70
What...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of 149 feet. Use a
significance level of 0.05. Height (ft) 136 140 134 144 102 109
104 116 Interval after (min) 83 84 94 92 67 67 84 84.
What...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of 148 feet. Use a
significance level of 0.05. Height (ft) Interval after (min) 136 83
140 84 134 94 144 92 102 67 109 67 104 84 116 84
The data below shows the duration of eruption (in seconds) of a geyser in a national...
The data below shows the duration of eruption (in seconds) of a
geyser in a national park and the height (in feet) of the eruptions
for a typical day. Use Excel to find the best fit linear regression
equation, where duration of eruption is the explanatory variable.
Round the slope and intercept to one decimal place.
Duration Height
240 140
237 154
122 140
267 140
113 160
258 140
232 150
105 150
186 160
248 155
243 125...
Suppose a geyser has a mean time between eruptions of 71 minutes.Let the interval of time...
Suppose a geyser has a mean time between eruptions of 71
minutes.Let the interval of time between the eruptions be normally
distributed with standard deviation 24 minutes.
Complete parts (a) through (e) below.
(a) What is the probability that a randomly selected time
interval between eruptions is longer than 83 minutes?
The probability that a randomly selected time interval is longer
than 83 minutes is approximately ____
(Round to four decimal places as needed.)
(b) What is the probability...
Suppose a geyser has a mean time between eruptions of 71 minutes.Let the interval of time...
Suppose a geyser has a mean time between eruptions of 71
minutes.Let the interval of time between the eruptions be normally
distributed with standard deviation 24 minutes.
Complete parts (a) through (e) below.
(a) What is the probability that a randomly selected time
interval between eruptions is longer than 83 minutes?
The probability that a randomly selected time interval is longer
than 83 minutes is approximately ____
(Round to four decimal places as needed.)
(b) What is the probability...
Suppose a geyser has a mean time between eruptions of 76 minutes . If the interval...
Suppose a geyser has a mean time between eruptions of 76 minutes
. If the interval of time between the eruptions is normally
distributed with standard deviation 27 minutes , answer the
following questions.
(b) What is the probability that a random sample of 13 time
intervals between eruptions has a mean longer than 87 minutes?
(c) What is the probability that a random sample of 100 time
intervals between eruptions has a mean longer than 120
minutes?
(d) What...
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