The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The scatterplot below displays the distance between each stop (in miles) and the amount of time it takes to travel from one stop to another (in minutes). Describe the relationship between distance and travel time. AnswerHow would the relationship change if travel time was instead measured in hours, and distance was instead measured in kilometers? AnswerCorrelation between travel time (in miles) and distance (in minutes) is r=0.636.r=0.636. What is the correlation between travel time (in kilometers) and distance (in hours)? This scatter plot illustrates the relationship between distance and travel time. ### X-axis:- Labeled "Distance (miles)," it represents the distance traveled, ranging from 0 to 300 miles.### Y-axis:- Labeled "Travel Time (minutes)," it presents the time taken for travel, ranging from 0 to 360 minutes.### Data Points:- Each dot on the plot represents a specific travel instance, correlating a particular distance with its corresponding travel time.- The plot shows a general trend where longer distances tend to have higher travel times, indicating a positive correlation between distance and travel time. This graphical representation is useful for analyzing how travel time increases with distance and can help in predicting approximate travel durations over varying distances.

The scatterplot is (1) The provided scatterplot depicts that there is a positive relationship between the two variables because the data points are showing an upward pattern. Also, the data points do not lie on a straight line. Thus, it could be said that there is a moderate positive relationship between the variables distance and travel time.(2) The correlation is said a unitless measure of association. It means that the value of the correlation does not get affected even if the units measurements of the variables change. So, in this case the relationship between two variable will not change if the units of the variables distance and travel time are changed.(3) As discussed in above part that the change in the units of measurement has no effect on the values of the correlation. So, correlation between travel time (in kilometers) and distance (in hours) will remain same, that is, 0.636.

Answered: he Coast Starlight Amtrak train runs…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The scatterplot below displays the distance between each stop (in miles) and the amount of time it takes to travel from one stop to another (in minutes).

Describe the relationship between distance and travel time. Answer
How would the relationship change if travel time was instead measured in hours, and distance was instead measured in kilometers? Answer
Correlation between travel time (in miles) and distance (in minutes) is r=0.636.r=0.636. What is the correlation between travel time (in kilometers) and distance (in hours)?

This scatter plot illustrates the relationship between distance and travel time.

### X-axis:
- Labeled "Distance (miles)," it represents the distance traveled, ranging from 0 to 300 miles.

### Y-axis:
- Labeled "Travel Time (minutes)," it presents the time taken for travel, ranging from 0 to 360 minutes.

### Data Points:
- Each dot on the plot represents a specific travel instance, correlating a particular distance with its corresponding travel time.
- The plot shows a general trend where longer distances tend to have higher travel times, indicating a positive correlation between distance and travel time.

This graphical representation is useful for analyzing how travel time increases with distance and can help in predicting approximate travel durations over varying distances.

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