The data show the time intervals after an eruption​ (to the next​ eruption) of a certain geyser.   x​ (Height in​ ft.) 136 113 148 118 145 117 112 141 y​ (Interval after in​ min.) 91 85 95 88 89 85 87 90 a. Find the value of the linear correlation​ coefficient:   r​ = nothing   ​(Round to three decimal places as​ needed.)   b. Find the critical value for determining if there is a linear relationship in the population of all eruptions​ (use alpha equals 0.05 ​):   Critical value​ = nothing   ​(Round to three decimal places as​ needed.)   c. Is there a linear correlation between height and interval in the population of all​ eruptions?     A. No   B. Yes   d. What is the regression equation that gives the interval in terms of the​ height?   yequals nothingplusnothing x ​ (Round to three decimal places as​ needed.)   e. Find the best predicted time of the interval after an eruption given that the current eruption has a height of 148   feet.   yalmost equals nothing   minutes ​(Round to one decimal place as​ needed.)

MATLAB: An Introduction with Applications
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The data show the time intervals after an eruption​ (to the next​ eruption) of a certain geyser.
 
x​ (Height in​ ft.)
136
113
148
118
145
117
112
141
y​ (Interval after in​ min.)
91
85
95
88
89
85
87
90
a. Find the value of the linear correlation​ coefficient:
 
r​ =
nothing
 
​(Round to three decimal places as​ needed.)
 
b. Find the critical value for determining if there is a linear relationship in the population of all eruptions​ (use
alpha equals 0.05
​):
 
Critical value​ =
nothing
 
​(Round to three decimal places as​ needed.)
 
c. Is there a linear correlation between height and interval in the population of all​ eruptions?
 
 
A.
No
 
B.
Yes
 
d. What is the regression equation that gives the interval in terms of the​ height?
 
yequals

nothingplusnothing

x
​ (Round to three decimal places as​ needed.)
 
e. Find the best predicted time of the interval after an eruption given that the current eruption has a height of
148
 
feet.
 
yalmost equals

nothing

 

minutes ​(Round to one decimal place as​ needed.)

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