Correlation Between Magnitudes and Depths Using the paired mag...

Question

Correlation Between Magnitudes and Depths Using the paired magnitude/depth data, construct the graph that is helpful in determining whether there is a correlation between earthquake magnitudes and depths. Based on the result, does there appear to be a correlation?

Table displaying paired data of earthquake magnitudes and depths in kilometers for correlation analysis.

Table displaying paired data of earthquake magnitudes and depths for correlation analysis.

Table displaying paired data of earthquake magnitudes and depths with values 2.44, 8.1, 1.64, and 7.0.

Accepted Answer

Hello, everyone. Let's take a look at this question together. Using the given wind speed and temperature data, create a graph to analyze the correlation between the two variables. Based on the graph, does there appear to be a correlation between wind speed and temperature? And here we have our data of wind speed and temperature, and we have to determine, is it answer choice A, yes, there is a positive correlation. Answer choice B, yes, there is a negative correlation. Answer choice C, there is no correlation, or answer choice D correlation cannot be determined from the graph. So in order to solve this question, we must first create a graph in order to analyze the correlation between the To variables of wind speed and temperature and use the graph to determine if there is a correlation between the two variables. Well, considering we're trying to identify a correlation between two variables, we know that the most appropriate graph type for analyzing this relationship is a scatter plot, as a scatter plot helps visualize whether wind speed and temperature have a positive. Negative or no correlation, and both wind speed and temperature are continuous numerical variables, which makes a scatter plot suitable for displaying their distribution, and scatter plots also help spot patterns and identify outliers that may affect the relationship. And lastly, using a scatter plot, if a correlation exists, a regression line or a trend line can be added to describe the relationship. So now that we have determined we are going. To make a scatter plot using our data of wind speed and temperature, we know that the values for wind speed are the X variables, and the values for temperature are the Y variables. So in our scatter plot, the X axis will represent wind speed and the Y axis will represent the temperature. And using the values for the wind speed and temperature, each pair of variables is plotted on. A graph and plotting the values on a graph gives us the following scatter plot of wind speed versus temperature, where we can make our observations based on the scatter plot, and these observations include that the scatter plot shows a negative correlation between wind speed and temperature, thence based on the scatter plot, as wind speed increases, the temperature decreases. So the points seem to Follow a downward trend, which suggests an inverse relationship between wind speed and temperature. Therefore, based on our observations of the scatter plot, we can identify that answer choice B is the correct answer, as there is in fact a correlation between wind speed and temperature. However, it is a negative correlation. So answer choice B is the correct answer. And all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

Correlation Between Magnitudes and Depths Using the paired magnitude/depth data, construct the graph that is helpful in determining whether there is a correlation between earthquake magnitudes and depths. Based on the result, does there appear to be a correlation?

Key Concepts

Correlation

Scatter Plot

Magnitude and Depth of Earthquakes

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