Topics: Regression and correlation
We wish to determine how sustained wind speed in a hurricane is related to the surface pressure of the storm. The goal of this project is to consider the relationship between wind speed and pressure within a hurricane and, to develop a model that describes this relationship. Please use the given dataset on maximum sustained wind speeds measured (mph) and pressures (mb) within hurricanes for the period 2000-2005. Use R for statistical analysis of this data set and answer the following questions.
data: https://myopenmaths3.s3.amazonaws.com/cfiles/160940/csvHurricanesdataforproject-finalfeb4-22.csv
Identify the response and explanatory variables. Construct a scatter plot for this data set. What kind of relationship appears to exist, if any, between the two variables? Describe the pattern, direction and the strength of association between the two variables.
Determine the linear correlation coefficient. Does the value support your observation in exercise 1?
Is the linear correlation coefficient statistically significant at the 5% level? Explain. What does this tell you about the existence of a linear relationship between these two variables?
Develop a least squares regression model for the two variables. Graph it along with the scatter plot.
Interpret the slope of the least squares’ regression model in the context of wind speed and atmospheric pressure.
Determine the coefficient of determination and interpret its meaning in the context of wind speed and atmospheric pressure.
Use the least squares regression model to estimate the maximum sustained wind speed in a hurricane when the pressure reading is 950 mb.
In 2000 and 2004, hurricanes DEBBY and JEANNE recorded maximum wind speeds of 75 mph and 127 mph, respectively. However, their corresponding pressure readings remain unknown. Use your regression model to predict these pressure readings. Be sure to include appropriate units! Are your predicted x-values closer to the observed values of x shown in the data for the wind speed 75 mph and 127 mph? Explain.
NickQuinn
3 hours ago
I have already answered all the questions. Could you correct my work for any mistakes or missing work?
