A line which represents the line of best fit is: C. Line B.
<h3>What is a line of best fit?</h3>
A line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
<h3>The characteristics of a line of best fit.</h3>
In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:
- The line should be very close to the data points as much as possible.
- The number of data points that are above the line should be equal to the number of data points that are below the line.
By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.
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To solve this problem you must apply the proccedure shown below:
1- You must rewrite each value shown in the picture attached, in decimal form, as following:
6π-6=12.84
π^3=31
√99=9.94
2- Now, you can order the values from least to greatest:
√99
6π-6
π^3
The answer is:
√99
6π-6
π^3
Based on the populations of the town from 2000 to 2008, the average rate of change of the population between 2002 and 2004 is -6.1%
The average rate of change between 2002 and 2006 is -4.88%
<h3>What is the average rate of change?</h3>
The average rate of change can be found as:
=Change in population / Population in base year
The average rate of change in population between 2002 and 2004 is:
= (77 - 82) / 82
= -6.1%
The average rate of change in population between 2002 and 2006 is:
= (78 - 82) / 82
= -4.88%
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Answer:
<em><u>T</u></em><em><u>H</u></em><em><u>E</u></em><em><u> </u></em><em><u>C</u></em><em><u>O</u></em><em><u>R</u></em><em><u>R</u></em><em><u>E</u></em><em><u>C</u></em><em><u>T</u></em><em><u> </u></em><em><u>A</u></em><em><u>N</u></em><em><u>S</u></em><em><u>E</u></em><em><u>R</u></em><em><u> </u></em><em><u>O</u></em><em><u>F</u></em><em><u> </u></em><em><u>T</u></em><em><u>H</u></em><em><u>I</u></em><em><u>S</u></em><em><u> </u></em><em><u>Q</u></em><em><u>U</u></em><em><u>E</u></em><em><u>S</u></em><em><u>T</u></em><em><u>I</u></em><em><u>O</u></em><em><u>N</u></em><em><u> </u></em><em><u>I</u></em><em><u>S</u></em><em><u> </u></em><em><u>5</u></em><em><u>.</u></em>
Step-by-step explanation:
Here,
a23=6
a12=5
a32=6
Now,
a23+a12-a32
=6+5-6
=5