Fifty matched pairs of magnitude/depth measurements randomly selected from 10,594 earthquakes recorded in one year from a location in southern California. Find the best predicted depth of an earthquake with a magnitude of 1.1. Use a significance level of 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Mag    Depth

2.96     19.9

2.73     6.5

1.46     3.5

0.85     13.3

2.95     19.9

1.63     8.7

1.92     18.4

1.12     7.9

2.59     3.1

1.68     9.4

0.14     6.2

2.43     17.7

0.04     18.4

1.03     9.8

2.89     12.4

0.54     9.5

0.77     2.1

1.87     8.1

2.72     17.3

0.84     9.9

1.48     12.7

0.68     7.1

1.83     17.1

1.89     3.4

0.94     13.8

2.24     5.7

0.94     16.7

1.36     5.2

0.98     6.6

0.51     12.5

2.69     14.1

1.73     12.5

2.29     12.7

1.63     14.7

0.52     18.6

2.75     4.5

2.31     10.5

1.39     13.3

2.05     10.5

0.63     5.7

1.15     3.6

1.59     2.9

2.92     11.3

0.33     6.4

2.78     9.2

1.43     4.8

0.82     4.8

0.21     13.6

1.77     12.3

0.68     4.9

1) Check Image

2) Given that the earthquake has a magnitude of 1.1, the best predicted depth is     km.

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

Fifty matched pairs of magnitude/depth measurements randomly selected from 10,594 earthquakes recorded in one year from a location in southern California. Find the best predicted depth of an earthquake with a magnitude of
1.1. Use a significance level of 0.05.
E Click the icon to view the earthquake measurements.
Click here to view the critical values of the Pearson correlation coefficient, r.
Transcribed Image Text:Fifty matched pairs of magnitude/depth measurements randomly selected from 10,594 earthquakes recorded in one year from a location in southern California. Find the best predicted depth of an earthquake with a magnitude of 1.1. Use a significance level of 0.05. E Click the icon to view the earthquake measurements. Click here to view the critical values of the Pearson correlation coefficient, r.
Critical Values of the Pearson Correlation Coefficient r
NOTE: To test H, p =D0
Jagainst H, p#0, reject H,
f the absolute value of r is
greater than the critical
value in the table.
a = 0.05
a = 0.01
0.950
0.878
0.990
0.959
0.917
0.875
0.834
4
6
0.811
0.754
0.707
0.666
0.632
0.602
0.576
0.553
0.798
0.765
0.735
0.708
9
10
11
12
13
0.684
0.661
0.641
0.623
0.606
14
0.532
0.514
0.497
0.482
0.468
0.456
0.444
0.396
15
16
17
18
0.590
0.575
0.561
0.505
19
20
25
0.361
0.335
0.312
0.294
0.279
30
35
0.463
0.430
0.402
0.378
0.361
0.330
0.305
0.286
40
45
50
60
70
0.254
0.236
80
0.220
0.269
0.256
a= 0.01
90
0.207
100
0.196
a= 0.05
Transcribed Image Text:Critical Values of the Pearson Correlation Coefficient r NOTE: To test H, p =D0 Jagainst H, p#0, reject H, f the absolute value of r is greater than the critical value in the table. a = 0.05 a = 0.01 0.950 0.878 0.990 0.959 0.917 0.875 0.834 4 6 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.798 0.765 0.735 0.708 9 10 11 12 13 0.684 0.661 0.641 0.623 0.606 14 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 15 16 17 18 0.590 0.575 0.561 0.505 19 20 25 0.361 0.335 0.312 0.294 0.279 30 35 0.463 0.430 0.402 0.378 0.361 0.330 0.305 0.286 40 45 50 60 70 0.254 0.236 80 0.220 0.269 0.256 a= 0.01 90 0.207 100 0.196 a= 0.05
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