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Get the free Line of Best Fit: Definition, How It Works, and Calculation

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Name ___ Date ___ Class ___15.115.2 Review (Lines of Best Fit & Correlation) Select the best answer. 1. Which ordered pairs match the scatter plot below? A. (1, 2), (4, 2), (5, 5), (7, 6) B. (2, 1),
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How to fill out line of best fit

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How to fill out line of best fit

01
Plot the data points on a scatter plot.
02
Draw a straight line that seems to best fit the data points.
03
Calculate the slope of the line using the formula: slope = (nΣ(xy) − ΣxΣy) / (nΣ(x^2) − (Σx)^2).
04
Calculate the y-intercept of the line using the formula: y-intercept = (Σy − slope * Σx) / n.
05
Write the equation of the line in the form y = mx + b, where m is the slope and b is the y-intercept.

Who needs line of best fit?

01
Researchers and scientists who are analyzing data and looking for trends.
02
Students learning about linear regression in statistics or mathematics courses.
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Business professionals trying to forecast future trends based on historical data.
04
Engineers designing systems that require predicting values based on input variables.
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The line of best fit is a straight line that best represents the data on a scatter plot.
Individuals or organizations who are analyzing data and want to understand the relationship between two variables may need to create a line of best fit.
To fill out a line of best fit, one must plot the data points on a scatter plot and then draw a line that best represents the trend of the data.
The purpose of a line of best fit is to visually represent the trend of the data and make predictions based on that trend.
The line of best fit should include the equation of the line as well as the correlation coefficient to indicate the strength of the relationship between the variables.
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