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Q: Why is the equation not the equation of a line of best fit for the data set below?
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In data plot most of the data points will lie below the line of best fit?

False


In a data plot most of the data points will lie below the line of best fit?

If most of them lie below the line, then that line isn't the best fit. The exact layout depends on what definition you use for "best fit", but any definition will produce a line that has roughly the same number of data points on each side of it.


True or false in a data plot about half the data points will lie below the line of best fit?

False (apex)


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

A trend line is graphed from a linear, exponential, logarithmic or other equation, and trys to fit the sorted data that you have. But it may or may not be correlated. The line of best fit is the trend line that best fits your data, having a high correlation. R closer to 1.


A trend equation is a regression equation in which?

y=mx+b trend line or line of best fit is best described as a line that approximates the relationship between the sets of data of a scatter plot.


Which is the best equationof a line of best fit this scatterplot?

A straight line equation


Why is a best fit line used to find slope instead of using the data points?

Because the data points are generally not all in line with each other. If you connect the dots,from one data point to the next and then to the next, you usually get a zig-zag line of manysegments, where the slopes of the segments are all different and cover a wide range. It wouldbe impossible to decide what the "real" slope of the data is. The "best fit" line is a line that findsthe pattern buried in the zig-zag data, giving each data point its best share of determining the bestsingle equation to represent the whole batch of points. That's why it's called "best".


What is the slope of the line given by the equation below?

There is no equation there but the slope of the line is the number that multiplies x in the straight line equation y = mx + b whereas m is the slope and b is the y intercept


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.


What is the slope of the line described by the equation below?

Equation of a straight line is: y = mx+c whereas m is the slope and c is the y intercept


Which point lies on the line described by the equation below?

That of course would depend on the straight line equation that has not been given and so therefore an answer is not possible.