Questions: Question 6 (1 point)
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Using a linear-regression (line of best fit) equation to predict values outside the range of the data is an example of
a) Extrapolation
b) Residuals
c) Least-square fit
d) Interpolation
Transcript text: Question 6 (1 point)
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Using a linear-regression (line of best fit) equation to predict values outside the range of the data is an example of
a) Extrapolation
b) Residuals
c) Least-square fit
d) Interpolation
Solution
Solution Steps
Step 1: Understand the Question
The question is asking about a concept related to linear regression, specifically when using a line of best fit to predict values outside the range of the data.
Step 2: Analyze the Options
Extrapolation: This is the process of estimating values outside the range of the data set using the line of best fit.
Residuals: These are the differences between observed values and the values predicted by the regression line.
Least-square fit: This is a method used to determine the line of best fit by minimizing the sum of the squares of the residuals.
Interpolation: This is the process of estimating values within the range of the data set using the line of best fit.
Step 3: Determine the Correct Answer
The question specifically asks about predicting values outside the range of the data. This is known as extrapolation.