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 144 feet. Use a significance level of 0.05.
|
Height (ft) |
115 |
133 |
137 |
140 |
99 |
112 |
108 |
126 |
|
|---|---|---|---|---|---|---|---|---|---|
|
Interval after (min) |
75 |
85 |
94 |
85 |
66 |
88 |
68 |
82 |
|
Critical Values of the Pearson Correlation Coefficient r |
NOTE: To test
H0: rhoρequals=0 againstH1: rhoρnot equals≠0, rejectH0 if the absolute value of r is greater than the critical value in the table. |
||
|---|---|---|---|
|
n |
alphaαequals=0.05 |
alphaαequals=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 |
|
PrintDone
What is the regression equation?
The data show the time intervals after an eruption (to the next eruption) of a certain...
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1 Critical Values of the Pearson Correlation Coefficient Critical Values of the Pearson Correlation coefficient a = 0.05 a = 0.01 0.950 10.990 0.878 0.959 0.811 0.917 0.754 0.875 0.707 0.834 0.666 10.798 0.632 0.765 0.602 0.735 0.576 0.708 0.553 0.684 0.532 0.661 0.514 0.641 0.497 0.623 0.482 0.606 0.468 10.590 0.456 0.575 0.444 0.561 0.396 0.505 10.361 10.463 sand Print Done 17 18 19 0.402 0.468 0.590 0.456 10.575 0.444 0.561 0.396 0.505 0.361 0.463...
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n
α=0.05
α=0.01
NOTE: To test
H0:
ρ=0
against
H1:
ρ≠0,
reject
H0
if the absolute value of r is greater than the critical value in
the table.
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...
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Critical Values for the Correlation
Coefficient
n
alpha = .05
alpha = .01
4
0.95
0.99
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
0.59
19
0.456
0.575
20
0.444
0.561
25
0.396
0.505
30
0.361
0.463
35
0.335
0.43
40
0.312
0.402
45
0.294
0.378
50...