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A straight line which best describes the data on a scatter plot is called a "line of best fit". The line could pass through some of the points, all of them, or none of them.

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10y ago

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In a data plot about half the data points will lie below the line that best fits?

Yes. The exception arises when you have outliers.


What are four ways that you can graphically present data?

Four ways to graphically present data are through bar graphs, pie charts, line graphs, and scatter plots. Each type of graph is best suited for displaying different types of data and relationships between variables. Choose the graph that fits best with the data you are trying to communicate.


What is a straight line that best fits the data on the coordinate plane?

The straight line that best fits the data on a coordinate plane is the Line Of Best Fit.


If solving for the slope of the best fit line it is a good choice to choose the points closest to the line or points on the line. True False?

False. When solving for the slope of the best fit line, you should consider all data points in your dataset to find the line that best fits the overall trend. Choosing points closest to the line or on the line may bias your results and not accurately represent the relationship between the variables.


What is the difference between a trend line and a line of best fit?

Oh, honey, let me break it down for you. A trend line is a general direction showing the overall trend of data points, while a line of best fit is a specific line that minimizes the distance between the line and the data points. So basically, a trend line is like a rough sketch, and a line of best fit is like the tailor-made suit that hugs those data points just right.


Why should you draw a line of best fit when drawing a graph?

A best fit graph to some data is exactly that: it is a line which fits the data best according to some optimality criterion. There is a always a trade off in fitting a line to data: one can change the number of degrees of freedom of the underlying equation, which affects how close the line can get to the data points. With more degrees of freedom, the line can more closely approximate the data. This is not to say that more degrees of freedom are better: with too many degrees of freedom, one is merely fitting to the noise in the measurement of the data, and the line will predict subsequent data poorly, when both interpolating and extrapolating the existing data. This is an example of Occam's Razor: one must pick the simplest model which adequately fits the data.


What is the line of the best fit?

The line of best fit is also known as the least square line. It uses a statistical technique to determine the line that fits best through a series of scattered data (plots). Using regression analysis, it finds the line that minimizes the amount of errors (deviations - the sum of vertical distance of data points from the line. The result is a unique line that minimizes the total squared deviations, statistically termed the sum of squared errors.


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When is it appropriate to use a specific graph?

There are a lot of different types of graphs so it is inevitable that I will miss some but here are the main ones: Bar / column chart - use if your data is in groups - either categoric (fits into unordered categories such as colour) or split into groups (e.g. 0-10, 10-20, etc.). Histogram - extension to the bar chart - use if the data is split into groups that are unequal (e.g. 0-10, 10-15, 15-30, etc.). Scatter chart - use if all of the data is continuous (i.e. can be any value within a range (e.g. time/temperature). Line graph - extension to the scatter chart - has a line of best fit - use if the two sets of data on the x and y axis are related. Pie chart - use if you want to show fractions of the data (e.g. that over half of people have one car but that only a quarter have two) - the data must be categoric (described above).