1. Comparative Analysis water temperature, wind direction, wind speed and gust from Buoy Stations Sandy Hook New Jersey and the Battery New York in Hudson River EAS 31136 (Fall 2015) Professor: Z. Johnny Luo Cecilia Jancso Wathanmue Chai

2. Motivation :Water temperature has big effects on stream ecology since cold water can hold more oxygen than warm water. Temperature also influences the rate of photosynthesis by algae and aquatic plants. Some plants and animals will grow quickly during the warm water in summer. If water temperatures drop they will grow very slow. Goal : To analyze relation between water temperature, wind direction, wind speed and wind gust with Mean, Histogram, Boxplot, Comparing Two different Datasets, and Hypothesis Testing.

3. Mean Value mean(swt_09) = water temp mean for Sandy Hook at 2009 14.1873 mean(bwt_09) = water temp mean for Battery at 2009 14.9200

4. Histograms water temperature at sandy Hook, New Jersey in 2009 and 2014 are right skewed which infers that the mean is greater than the median. water temperature at the Battery New York in the 2009 and 2014 graphs show a random distribution in the histogram with no apparent pattern.

5. Boxplot: Boxplots are used to better understand how values are spaced out in different sets of data. The Battery, New York 2009 water temperature median value is about 15. Graph is skew since there is more temperature values less than 15 and the bottom of whisker is longer than top one. Maximum temperature is greater than 25 and minimum temperatures is lower than 5. In 2014 the median value is about 12 and maximum temperature is 24 and minimum temperature is 0. It is shown that the median value of water temperature at Sandy Hook New Jersey in 2009 and 2014 boxplot graph and the median value are about 10. Both graphs are skew since there are more temperature values greater than 10 since the top whisker is longer than bottom one. The maximum temperature is greater than 25 and minimum temperature is 0.

6. Covariance: Comparing Two different Datasets Covariance is a measure of how much two variables change together and to study the relation between variables. Covariance method is used to determine water temperatures of Sandy Hook New Jersey and Battery New York in 2009 and 2014 are related in any way for this precise period. In the matlab program we assigned water temperatures of Sandy Hook New Jersey (swt) and Battery New York (bwt). corrcoef(swt_09, bwt_09) ans = 1.00000.8886 0.88861.0000 If the covariance is closer to 1 the variables have strong correlation, covariance 0.5-0.8 is Medium correlation. Weak relationship is when the value is close to 0. Since the correlation value is close to 1, there is a positive relation between the Sandy Hook and Battery Park water temperature data.

7. Hypothesis testing: two-sample t-test Test the null hypothesis that the two data samples are from populations with equal means. Are the mean sea water temperatures for the year 2009 are the same at the buoys in Sandy Hook and the Battery?

8. Chi square test

9. Gaussian distribution:. μ= 14.92 C and σ=7.2523

10. Simple Linear Regression between wind direction and wind speed Sandy Hook Wind Direction and Wind Speed 2009

11. Multiple Linear Regression Sandy Hook Wind Direction and Wind Speed, and Wind Gust 2009

12. References 1.http://www.ndbc.noaa.gov/maps/New_York.shtmlhttp://www.ndbc.noaa.gov/maps/New_York.shtml 2.http://www.cs.otago.ac.nz/cosc453/student_tutorials/principal_components.pdfhttp://www.cs.otago.ac.nz/cosc453/student_tutorials/principal_components.pdf 3.Historical data from year 2009 and 2014 from Buoy Sandy Hook, NJ Station SDHN4 - 8531680 - Sandy Hook, NJ, http://www.ndbc.noaa.gov/station_page.php?station=sdhn4 http://www.ndbc.noaa.gov/station_page.php?station=sdhn4 4.Historical data from year 2009 and 2014 from Buoy The Battery, NY Station BATN6 - 8518750 - The Battery, NY http://www.ndbc.noaa.gov/station_page.php?station=batn6

13. THANK YOU