Linear RegressionOur dataset contains the following variables:Year: the year of the Olympic Games, from 1896 to 2000.Time: the winning time for the 1,500 meter race, in seconds.First, let's explore the relationship between the two quantitative variables—year and time. Produce a scatterplot and use it to verify that year and time are nearly linear in their relationship.Here's a reminder of how to do this in Excel:Select all of the data in columns A and B, and then select the Insert tab and choose Scatter in the Charts group next to the Recommended Charts button.Choose the first scatterplot option (Scatter with only Markers).Now we have a scatterplot, but the data is all towards the top of the plot. To fix this:Right-click on the Y axis, and choose Format Axis from the bottom of the pop-up menu.In the Format Axis window make sure that Axis Options button is selected, find the Minimum option and enter 200 in the textbox. Click the X button to close the menu window. Year189619001904190819121920192419281932193619481952195619601964196819721976198019841988199219962000Time273.2246245.4243.4236.8241.8233.6233.2231.2227.8229.8225.1221.2215.6218.1214.9216.3219.2218.4212.53215.96220.12215.78212.32

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Linear Regression

Our dataset contains the following variables:

Year: the year of the Olympic Games, from 1896 to 2000.

Time: the winning time for the 1,500 meter race, in seconds.

First, let's explore the relationship between the two quantitative variables—year and time. Produce a scatterplot and use it to verify that year and time are nearly linear in their relationship.

Here's a reminder of how to do this in Excel:

Select all of the data in columns A and B, and then select the Insert tab and choose Scatter in the Charts group next to the Recommended Charts button.
Choose the first scatterplot option (Scatter with only Markers).
Now we have a scatterplot, but the data is all towards the top of the plot. To fix this:
Right-click on the Y axis, and choose Format Axis from the bottom of the pop-up menu.
In the Format Axis window make sure that Axis Options button is selected, find the Minimum option and enter 200 in the textbox. Click the X button to close the menu window.