Q. 10
Question
10. The line that best fits a set of data points according to the least-squares criterion is called the________line.
Step-by-Step Solution
Verified Answer
The line that best fits a set of data points according to the least-squares criterion is called the regression line.
1Step 1: Concept Introduction
Least-squares criterion:
The line that best fits a set of data points with the minimum sum of squared error among all lines is known as the least-squares criteria.
2Step 2: Explanation
The regression line is the line that best fits a set of data.
Least-squares regression lines minimize the vertical distance between data points and the regression line in order to fit a linear relationship between two variables.
As a result, the regression line is the line that best fits a set of data points using the least-squares criterion.
Other exercises in this chapter
Q. 8
8. Regarding the variables in a regression analysis.a. what is the independent variable called?b. what is the dependent variable called?
View solution Q. 9
9. Based on the least-squares criterion, the line that best fits a set of data points is the one with the ________possible sum of squared errors.
View solution Q. 11
11. Using a regression equation to make predictions for values of the predictor variable outside the range of the observed values of the predictor variable is c
View solution Q. 12
12. In the context of regression analysis, what is ana. outlier?b. influential observation?
View solution