Choose the correct statement about best-fit lines. Group of answer choicesA best-fit line describes the exact coordinates of each point in the data set.A best-fit line is close to most of the data points.A best-fit line must go through at least two of the data points.A best-fit line always has a positive slope.
Question
Choose the correct statement about best-fit lines. Group of answer choicesA best-fit line describes the exact coordinates of each point in the data set.A best-fit line is close to most of the data points.A best-fit line must go through at least two of the data points.A best-fit line always has a positive slope.
Solution
The correct statement about best-fit lines is: A best-fit line is close to most of the data points.
This is because a best-fit line, also known as a line of best fit, is a straight line drawn through the center of a group of data points plotted on a scatter plot. It best represents the data and shows the trend among the points. It may not pass through many of the points and does not need to pass through any points at all. The slope of the best-fit line can be positive, negative, or it could be zero, depending on the data. It does not describe the exact coordinates of each point in the data set.
Similar Questions
42.In practice, the line of best fit or regression line is found when: A. Sum of the square of residuals ( ? (Y-h(X))2) is minimum B. Sum of residuals (?(Y – h(X))) is minimum C. Sum of the absolute value of residuals (?|Y-h(X)|) is maximum D. Sum of the square of residuals ( ? (Y-h(X))2) is maximum
In choosing the best fitting line through a set of points in a linear regression, we choose the one with the __________. a. smallest sum of squared residuals b. largest sum of squared residuals c. smallest sum of squared error d. a and c
Intuitively, the line that best fits plotted data will be the line that ______Multiple choice question.intersects with the most number of points.has a slope the closest to zero.minimizes the residuals.connects the first and last points.
In a linear regression model the best fit line always passes through which of the following? A. Mean of the data variables B. Mode of the data variables C. Median of the data variables D. mean, median and mode of the data variables
What is the best objective way to define the best fit line ?
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