Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values.

MAG   DEPTH

 

0.66     7.5

 

0.74     2.5

 

0.64     14.0

 

1.20     15.5

 

0.70     3.1

 

2.20     2.4

 

1.98     14.4

 

0.64     5.7

 

1.22     6.1

 

0.55     7.1

 

1.58     17.1

 

1.26     8.7

 

3.55     9.3

 

0.90     12.3

 

1.76     9.8

 

0.22     7.4

 

2.80     17.1

 

0.01     8.8

 

0.65     5.0

 

1.46     19.1

 

1.62     12.7

 

1.82     4.7

 

0.99     6.8

 

1.65     6.1

 

0.40     14.6

 

1.28     4.9

 

0.83     16.1

 

1.34     9.9

 

0.54     19.1

 

1.25     4.6

 

0.93     4.9

 

1.25     16.3

 

0.79     14.0

 

0.79     4.2

 

1.44     5.5

 

1.00     5.9

 

2.24     15.6

 

2.50     7.7

 

1.79     16.4

 

1.25     15.4

 

1.49     4.9

 

0.84     8.1

 

1.42     7.5

 

1.00     14.1

 

1.25     11.1

 

1.34     14.8

 

1.35     4.6

 

1.45     7.1

 

0.40     3.2

 

1.39     5.3

 

*Note: Refer to the deliverable instructions for a breakdown of the PowerPoint requirements.

 

Slide 3. Construct a Scatterplot Below.

 

Slide 4. Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values.

 

r

 

CV

 

Slide 6. Find the regression equation. Let the predictor (x) variable be the magnitude. Identify the slope and the y-intercept within your regression equation.

 

Slope

 

Y-intercept

 

Regression Equation

 

Slide 7. Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units.

 

*Hint: You only need to find y-hat or y-bar (not both).

 

y-hat

 

y-bar

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