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
Question
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
Solution
The correct answer is A. The line of best fit or regression line is found when the sum of the square of residuals ( ? (Y-h(X))2) is minimum. This is known as the method of least squares. The goal is to minimize the distance of each data point from the line of best fit. By minimizing the sum of the squares of these distances (residuals), we can find the line that best fits the data.
Similar Questions
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
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.
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
Question 21Which of the following statements about the regression line is not correct?1 pointTheconstant indicates the place where the regression line crosses the Y-axis. The regression line is the line of which the sum of the residuals is the smallest.The regression line can run horizontally.The regression coefficient is the change in the Y value with 1 unit increase in the X value.
The best-fitting line minimizes the residuals.Group of answer choicesTrueFalse
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.