The data show the time intervals after an eruption (to the next eruption) of a c
ID: 2927909 • Letter: T
Question
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.
Height (ft)
7373
111111
100100
9999
120120
7373
7777
112112
Interval after (min)
6767
8484
6767
7777
8484
5858
6969
7070
What is the regression equation?
ModifyingAbove y with caretyequals=nothing plus+nothing x
(Round to three decimal places as needed.)
Critical Values of the Pearson Correlation Coefficient r
H0:
rhoequals=0
H1:
rhonot equals0,
H0
n
alphaequals=0.05
alphaequals=0.01
4
0.950
0.990
5
0.878
0.959
6
0.811
0.917
7
0.754
0.875
8
0.707
0.834
9
0.666
0.798
10
0.632
0.765
11
0.602
0.735
12
0.576
0.708
13
0.553
0.684
14
0.532
0.661
15
0.514
0.641
16
0.497
0.623
17
0.482
0.606
18
0.468
0.590
19
0.456
0.575
20
0.444
0.561
25
0.396
0.505
30
0.361
0.463
35
0.335
0.430
40
0.312
0.402
45
0.294
0.378
50
0.279
0.361
60
0.254
0.330
70
0.236
0.305
80
0.220
0.286
90
0.207
0.269
100
0.196
0.256
Height (ft)
7373
111111
100100
9999
120120
7373
7777
112112
Open in StatCrunch + Copy to Clipboard + Open in Excel +Interval after (min)
6767
8484
6767
7777
8484
5858
6969
7070
Explanation / Answer
The regression equation is
Interval after = 6726 + 0.00918 Height (ft)
Predictor Coef SE Coef T P
Constant 6726.0 442.7 15.19 0.000
Height (ft) 0.009177 0.005620 1.63 0.154
S = 820.572 R-Sq = 30.8% R-Sq(adj) = 19.2%
ConclusioN. The estimated p-value of Height is 0.154. hence, we can conclude that the height does not have a significant association with Interval after at 0.05 level of significance.
Pearson correlation of Height (ft) and Interval after = 0.555
P-Value = 0.154
The estimated p-value of correlation is 0.154. hence, there is no significant correlation between these two variables at 0.05 level of significance. Also, it does not have significant association at 0.01.
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