A USE SALT y thatEr - s801, - 5613,547, y - 575, E - 64,543 and y - 549,281. or decrease? Explain your answer. as x increases. ymaximum wind speed in miles per hour) ymaximum wind speed din miles per houri) (Lanoy ad sagu up paads pu unuprun y maximum wind speed in miles per hour)
A USE SALT y thatEr - s801, - 5613,547, y - 575, E - 64,543 and y - 549,281. or decrease? Explain your answer. as x increases. ymaximum wind speed in miles per hour) ymaximum wind speed din miles per houri) (Lanoy ad sagu up paads pu unuprun y maximum wind speed in miles per hour)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Analyzing Barometer Readings for Predicting Cyclone Wind Speed
#### Overview
The study investigates whether barometer readings (in millibars) can predict maximum wind speed (in miles per hour) of approaching tropical cyclones. The analysis uses a random sample of tropical cyclones.
#### Scatter Diagrams
- **First Scatterplot (Left)**:
- **Axes**: X-axis represents the lowest pressure in millibars (millibars), ranging from 40 to 140. Y-axis represents maximum wind speed in miles per hour (mph), ranging from 60 to 140.
- **Data Points**: Various points are plotted, showing a distribution that suggests a possible non-linear relationship.
- **Line of Fit Option**: Users are asked to select the line that best fits the data.
- **Second Scatterplot (Middle)**
- **Axes**: X-axis as lowest pressure (millibars) from 940 to 1000. Y-axis for maximum wind speed (mph) from 890 to 1010.
- **Data Points**: Displays a clearer pattern where pressure decreases as wind speed increases.
- **Line of Fit Option**: Users are asked to select the line that best fits the data.
- **Third Scatterplot (Right)**
- **Axes**: X-axis is the lowest pressure (millibars) from 940 to 1000. Y-axis represents maximum wind speed (mph) from 40 to 140.
- **Data Points**: Points suggest a possible correlation; sensitivity to pressure changes shows an upward trend where pressure decreases with increasing wind speed.
- **Line of Fit Option**: Selection for best fit line available.
#### Correlation Analysis
- **Question (b)**: Participants are asked to assess if the correlation between variables is low, moderate, or strong.
- **Correlation Type**: Determine if positive or negative.
#### Calculation Verification
Using the provided sums:
- \(\sum x = 580\)
- \(\sum x^2 = 5,613,547\)
- \(\sum y = 575\)
- \(\sum y^2 = 64,543\)
- \(\sum xy = 549,281\)
**Compute \(r\)**: Users calculate the correlation coefficient \(r\) and round it to four decimal places.
#### Discussion
- **Question (
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