LabAssignment_GEOG444_06.1
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University of Missouri, Kansas City *
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Course
444
Subject
Geography
Date
Jan 9, 2024
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docx
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Uploaded by dariusuche1180
GEOG 444 Lab Assignment #6:
Due @ 5pm on December 6
th
, 2023
Name: _______________________
LAB Assignment #6: Least-squared best-fit linear
regression, 2-D spatial data analysis and mapping.
Part I: Linear regression analysis, interpolation, 2-D data displaying (20 pts)
Download the MATLAB MAT file Katrina.mat (Canvas) to your working directory. This data contains statistics of Category 5 Hurricane Katrina in 2005. The statistics include: latitude, longitude, wind speed (mph, miles per hour), and surface air pressure (mb, millibars) from the storm’s formation (08/23/2005) to its disappearance (08/31/2005). Each statistics is shown in each of the four columns of the data file. 1)
Plot the tracks of Hurricane Katrina and the coast lines in the Atlantic basin (100W-60W, 10N-50N). AND color-code the tracks by its categories, which is based on the wind speed (3
rd
column). You may refer to Lecture Note 26 slides 13-16, file plot_Hurricanes.m for MATLAB coding and various color schemes. Categories of tropical storms are shown below. The coastal line data, coast.mat is downloadable from Week13. (5 pts) You NEED show your MATLAB codes. Category Wind speed (mph) 1 74-95 2 96-110 3 111-129 4 130-156 5 >=157 2)
Calculate the correlation coefficient between wind speed and surface air pressure. (2 pts) Show your code and the correlation coefficient (each 1 pt)
1
GEOG 444 Lab Assignment #6:
3)
Calculate the linear least-squares regression between surface air pressure (as THE predictor) and wind speed (as THE predictand). (3 pts) Show your code and slope and intercept values (each 1 pt)
The slope b1= ____________ mph per mb, the intercept b0= ____________ mph. 4)
Using the regression equation to calculate the wind speed when the surface air pressure reaches 950 mb. (2 pts) Show your code and the value (each 1 pt) WindSpeed@950mb = __________ mph. 5)
(a) Scatter plot the surface air pressure (x-axis) vs. wind speed (y-axis)
and denote the variable and unit in x-label and y-label. (b) Then superimpose the least-squares linear regression line to the scatterplot. (c) Show the error bounds of the linear regression fit. Show your MATLAB codes (4 pts)
6)
Calculate the confidence intervals (95%) for the slope and the intercept of the linear regression equation using Student’s t-
distribution. Please refer to Lecture 25, slides 29-36. On the basis of given relationship between surface air pressure and wind speed from Hurricane Katrina there is a 95% probability that the true population slope lies in the interval of [_______ , _________] mph per mb; And there there is a 95% probability that the true population intercept lies in the interval [_______ , _________] mph. (4 pts) Show your MATLAB codes. Do include all your MATLAB codes for calculations and plotting. 2
GEOG 444 Lab Assignment #6:
Part II: Integrating spatial data analysis and bivariate analysis (20 pts)
Download the MATLAB MAT file usatempC.mat from Canvas, to your working directory. This data contains the annual-mean surface air temperature averaged over the United State continent from 1982 to 2016. Download the OISST_1982_2016.nc and lsmask.nc NetCDF files from Canvas, Week13. 1)
Calculate the correlation coefficients between the annual-mean surface air temperature over US and annual-mean global SST from 1982 to 2016. Plot the spatial map with masked land. In the map, please:
a.
Include the global coast lines (You’ll need the coast.mat and showmap.m files from Week13)
b.
Set the correlation coefficient limits from -1 to 1
c.
Add a colorbar
d.
Use blue-white-red color scheme (You’ll need the bluewhitered.m file from Week13)
(6 pts)
2)
Calculate the least-square linear regression slope between the annual-
mean surface air temperature over US and annual-mean global SST from 1982 to 2016. Use US temperature as the predictor and global SST as the predictand. Plot the spatial map of the slope. In the map with masked land, please:
a.
Include the global coast lines
b.
Set the regression slope limits from -0.4 to 1.2
c.
Add a colorbar
d.
Use jet color scheme. (7 pts)
3)
Calculate and plot the year-to-year (1982-2016) standard deviations of
global annual-mean sea surface temperature (Hints: try “help std” to find out how to calculate the standard deviation along a desired dimension). In the map with masked land, please: a.
Include the global coast lines
b.
Set the regression slope limits from 0 to 1.6
c.
Add a colorbar
d.
Use the default parula color scheme
Question:
From the map you plotted, which of the ocean basin presents the largest year-to-year variability (largest standard deviation)?
a)
US west coast; b) Gulf of Mexico; c) tropical eastern Pacific Ocean; d) tropical Indian Ocean; e) South Atlantic Ocean
3
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GEOG 444 Lab Assignment #6:
(7 pts)
Do include all your MATLAB codes. 4