Line of Best Fit: Should I Join Points or Use Graph?

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In summary, a line of best fit should not always be connected to points on a scatter plot, as there are cases where it may be misleading or unnecessary. The type of line of best fit to use depends on the type of relationship between the data points, with a straight line appropriate for a linear relationship and a curved line for a non-linear relationship. A line of best fit can be used for predictive purposes, but this assumes the relationship between the data points will continue in the same pattern. It is not necessary to have an equal number of data points on each side of the line of best fit, as it is determined by finding the best fit for all data points. The slope and y-intercept of a line of best fit represent the
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thomas49th
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Hi, should I use a line of best fit on a cumulative frequency graph or join the ponits. I looked on google and it;s all mis mashed. Is it arbituary or depend on data?

Thanks
 
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Whether or not you use a linear approximation rather than the actual data depends upon what it is you want to do with the data!
 
  • #3
For a cumulative frequency graph join the points. The way cumulative frequencies are calculated there cannot be a linear relationship between what is measured and the cumulative frequency.
 

Related to Line of Best Fit: Should I Join Points or Use Graph?

1. Should I always connect the points on a scatter plot with a line of best fit?

No, there are cases where a line of best fit may not be appropriate or necessary. For example, if the data points do not show a clear linear relationship, it may be misleading to connect them with a line. In addition, if the data is categorical rather than numerical, a line of best fit would not make sense.

2. How do I determine which type of line of best fit to use for my data?

The type of line of best fit to use depends on the type of relationship between the data points. If the points show a clear linear relationship, a straight line of best fit would be appropriate. However, if the points show a non-linear relationship, a curved line (such as a quadratic or exponential) may be more fitting.

3. Can I use a line of best fit to make predictions about my data?

Yes, a line of best fit can be used for predictive purposes by extending the line beyond the given data points. However, it is important to note that this assumes the relationship between the data points will continue in the same pattern, which may not always be the case.

4. Is it necessary to have an equal number of data points on each side of the line of best fit?

No, it is not necessary to have an equal number of data points on each side of the line of best fit. The line of best fit is determined by finding the best fit for all the data points, regardless of their distribution.

5. How do I interpret the slope and y-intercept of a line of best fit?

The slope of a line of best fit represents the rate of change between the x and y variables. A positive slope indicates a positive relationship, while a negative slope indicates a negative relationship. The y-intercept represents the value of the y variable when the x variable is equal to 0. It can also be interpreted as the starting point of the line.

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