Deliverable 6 – Analysis with Correlation and Regression
Task Content material
Competency
Decide the linear correlation and regression equation between two variables to make predictions for the dependent variable.
Situation
In keeping with the U.S. Geological Survey (USGS), the likelihood of a magnitude 6.7 or larger earthquake within the Larger Bay Space is 63%, about 2 out of three, within the subsequent 30 years. In April 2008, scientists and engineers launched a brand new earthquake forecast for the State of California known as the Uniform California Earthquake Rupture Forecast (UCERF).
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As a junior analyst on the USGS, you might be tasked to find out whether or not there’s adequate proof to help the declare of a linear correlation between the magnitudes and depths from the earthquakes. Your deliverables might be a PowerPoint presentation you’ll create summarizing your findings and an excel doc to indicate your work.
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Ideas Being Studied
Correlation and regression
Creating scatterplots
Setting up and deciphering a Speculation Check for Correlation utilizing r because the check statistic
You might be given a spreadsheet that accommodates the next data:
Magnitude measured on the Richter scale
Depth in km
Deliverable 6 – Analysis with Correlation and Regression.xlsx
Utilizing the spreadsheet, you’ll reply the issues under in a PowerPoint presentation.
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What to Submit
The PowerPoint presentation ought to reply and clarify the next questions based mostly on the spreadsheet supplied above.
Slide 1: Title slide
Slide 2: Introduce your state of affairs and information set together with the variables supplied.
Slide three: Assemble a scatterplot of the 2 variables supplied within the spreadsheet. Embrace an outline of what you see within the scatterplot.
Slide four: Discover the worth of the linear correlation coefficient r and the vital worth of r utilizing Ξ± = zero.05. Embrace a proof on the way you discovered these values.
Slide 5: Decide whether or not there’s adequate proof to help the declare of a linear correlation between the magnitudes and the depths from the earthquakes. Clarify.
Slide 6: Discover the regression equation. Let the predictor (x) variable be the magnitude. Determine the slope and the y-intercept inside your regression equation.
Slide 7: Is the equation mannequin? Clarify. What can be the perfect predicted depth of an earthquake with a magnitude of two.zero? Embrace the right items.
Slide eight: Conclude by recapping your concepts by summarizing the knowledge offered in context of the state of affairs.
Alongside with your PowerPoint presentation, you must embody your Excel doc which exhibits all calculations.
