LabAssignment_GEOG444_06

.docx

School

University of Missouri, Kansas City *

*We aren’t endorsed by this school

Course

444

Subject

Geography

Date

Jan 9, 2024

Type

docx

Pages

4

Uploaded by dariusuche1180

Report
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
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help