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.
State of affairs
Based on the U.S. Geological Survey (USGS), the chance of a magnitude 6.7 or better earthquake within the Higher 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 referred to 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 may be enough 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 point out your work.
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Ideas Being Studied
Correlation and regression
Creating scatterplots
Setting up and decoding a Speculation Check for Correlation utilizing r because the check statistic
You might be given a spreadsheet that accommodates the next info:
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 primarily based on the spreadsheet supplied above.
Slide 1: Title slide
Slide 2: Introduce your situation and information set together with the variables supplied.
Slide three: Assemble a scatterplot of the 2 variables supplied within the spreadsheet. Embody an outline of what you see within the scatterplot.
Slide four: Discover the worth of the linear correlation coefficient r and the crucial worth of r utilizing Ξ± = zero.05. Embody a proof on the way you discovered these values.
Slide 5: Decide whether or not there may be enough 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 a superb mannequin? Clarify. What can be the perfect predicted depth of an earthquake with a magnitude of two.zero? Embody the right models.
Slide eight: Conclude by recapping your concepts by summarizing the knowledge introduced in context of the situation.
Alongside with your PowerPoint presentation, it’s best to embody your Excel doc which reveals all calculations.
