Question

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 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

against

H1​:

rhoρnot equals≠​0,

reject

H0

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

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