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.

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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.

[Graph Icon] Click the icon to view the earthquake measurements.

[Link] 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. [Graph Icon] Click the icon to view the earthquake measurements. [Link] Click here to view the critical values of the Pearson correlation coefficient, r.
**Critical Values of the Pearson Correlation Coefficient (r)**

This table provides the critical values for the Pearson correlation coefficient (r) for different sample sizes (n) at two significance levels: α = 0.05 and α = 0.01.

**Table:**

- **n**: Sample size
- **α = 0.05**: Critical value for significance level 0.05
- **α = 0.01**: Critical value for significance level 0.01

| n  | α = 0.05 | α = 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    |
| 50 | 0.273    | 0.354    |
| 60 | 0.250    |
Transcribed Image Text:**Critical Values of the Pearson Correlation Coefficient (r)** This table provides the critical values for the Pearson correlation coefficient (r) for different sample sizes (n) at two significance levels: α = 0.05 and α = 0.01. **Table:** - **n**: Sample size - **α = 0.05**: Critical value for significance level 0.05 - **α = 0.01**: Critical value for significance level 0.01 | n | α = 0.05 | α = 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 | | 50 | 0.273 | 0.354 | | 60 | 0.250 |
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