![]() Or, if you want even more practice, see More help below. If you think you have a handle the steps above, click on this bar to try practice problems with worked answers. Two format options we can choose from I am ready to PRACTICE! Determination of the relationship of temperature to gas concentrations or chemical components. ![]() Relating environmental or ecological responses to a measured factor.Determination of the concentration of an unknown solution based on various measurements of standards of known concentrations.Determination of the velocity of tectonic plates or seismic waves.Step 2: What does this mean? It tells us that since this island is 1000 km away from Kilauea, its rocks are approximately 10.37 million years old! Where do you use linear regressions in Earth science? Calculate to show `y = 10.372` million years So put 1000 km in for `x` and solve for `y`. Distance is our independent variable, our `x`. ![]() Based on your linear regression, how old are the rocks here? You are studying an island in the Hawaiian hot spot chain approximately 1000 km from Kilauea. For example, your unknown may be the concentration of a salt or metal in a solution or what the temperature will be at a certain level of carbon dioxide. Once you have a line equation from your linear regression, you can solve for `x` if you have `y`, or solve for `y` if you have `x`. A linear regression shows us if there is a strong positive or negative linear relationship, and that conclusion is often the goal of a study.Īnother important use of linear regressions is as a tool to solve for an unknown. One of the most important things a scientist does with data is to discover if there is a relationship between two factors. How do you use the line equation from the linear regression? Do they match? Hurray! You now know how to do a linear regression with two different methods. Note that the values of `m` and `b` may differ slightly due to different rounding within the calculations, but they should be close. Check to see if this line equation matches what you calculated by hand above. Performing linear regression will help you calculate the values for `m` ( Step 5) and `b` ( Step 6) to replace in the equation. The `m` is the slope of the line, and the `b` is the y-intercept, or where the line crosses the y-axis. The `x` and `y` in this equation represent data and will remain as `x` and `y` in the equation. Familiarize yourself with the equation of a line: `y=mx+b`. ![]() You can write these values at the bottom of your table to help keep everything organized, like this: x: Distance (km) The Pacific plate moves northwest over the hot spot, displacing the volcanic islands to the northwest and allowing a new volcanic island to form at the mantle plume.Ĭan we use the distance from the hot spot to determine the age of the older volcanic islands? Data provided are the distance from the hot spot in kilometers (km) and the age of the volcanic islands in millions of years (Ma). A chain of volcanic islands to the northwest of Kilauea shows the hot spot track over the last 80 million years. Kilauea is an active volcano forming at the Hawaiian hot spot above a mantle plume. We will use a data set with paired variables (where every value for one variable has a corresponding value of the other variable) from the Hawaiian hot spot track to calculate a linear regression. Reuse: This item is offered under a Creative Commons Attribution-NonCommercial-ShareAlike license You may reuse this item for non-commercial purposes as long as you provide attribution and offer any derivative works under a similar license. Provenance: Kilauea Eruption: Anthony Quintano, Creative Commons, via Wikimedia Common. ![]()
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