Statistics in WR: Lecture 12

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Topic 12: Multiple Linear Regression

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Presentation transcript:

Statistics in WR: Lecture 12 Key Themes Regression y|x and x|y Adjusted R2 Time series and seasonal variations

Regression of Y|X and X|Y

Regression Statistics R2 and Adjusted R2 SUMMARY OUTPUT Regression Statistics Multiple R 0.950344 R Square 0.903154 0.903154347 Adjusted R Square 0.898543 0.89854265 Standard Error 159033.1 Observations 23 ANOVA df SS MS F Significance F Regression 1 4.95309E+12 195.8399 4.07E-12 Residual (error) 21 5.31122E+11 25291521454 Total (y) 22 5.48421E+12

Time Series Trend: Tide Levels at San Diego http://tidesandcurrents.noaa.gov/sltrends/sltrends_station.shtml?stnid=9410170%20San%20Diego,%20CA

One harmonic

Five harmonics http://en.wikipedia.org/wiki/Fourier_series