1.cenario

According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or

greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30

years. In April 2008, scientists and engineers released a new earthquake forecast for

the State of California called the Uniform California Earthquake Rupture Forecast

(UCERF).

As a junior analyst at the USGS, you are tasked to determine whether there is

sufficient evidence to support the claim of a linear correlation between the

magnitudes and depths from the earthquakes. Your deliverables will be a

PowerPoint presentation you will create summarizing your findings and an excel

document to show your work.

Concepts Being Studied

o Correlation and regression

o Creating scatterplots

o Constructing and interpreting a Hypothesis Test for Correlation using r as the

test statistic

You are given a spreadsheet that contains the following information:

o Magnitude measured on the Richter scale

o Depth in km

Using the spreadsheet, you will answer the problems below in a PowerPoint

presentation.

What to Submit

The PowerPoint presentation should answer and explain the following questions

based on the spreadsheet provided above.

o Slide 1: Title slide

o

Slide 2: Introduce your scenario and data set including the variables

provided.

o

Slide 3: Construct a scatterplot of the two variables provided in the

spreadsheet. Include a description of what you see in the scatterplot.

o

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.

o

Slide 5: Determine whether there is sufficient evidence to support the claim

of a linear correlation between the magnitudes and the depths from the

earthquakes. Explain.

o

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.

o

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.

o

Slide 8: Conclude by recapping your ideas by summarizing the information

presented in context of the scenario.

Along with your PowerPoint presentation, you should include your Excel document

which shows all calculations.

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

1,56

6,1

0,40

14,6

1,28

4,9

0,83

19,1

1,34

9,9

0,54

16,1

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

1,43

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 requirem

Slide 3. Construct a Scatterplot Below.

Slide 4. Find the value of the linear correlation coefficient r and the critical value of

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. Iden

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 o

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

n of the PowerPoint requirements.

and the critical value of r using α = 0.05.

ariable be the magnitude. Identify the

be the best predicted depth of an

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