Q. 4.35
Question
Regarding the criterion used to decide on the line that best fits a set of data points,
a. What is that criterion called?
b. Specifically, what is the criterion?
Step-by-Step Solution
Verified Answer
a. Least-squares criterion
b. The least-squares criterion states that the line with the smallest possible sum of squared errors best fits a set data points.
1Part(a) Step 1: Given information
We need to find the criterion used to decide on the line that best fits a set of data points.
2Part(a) Step 2: Explanation
The criterion is called least-squares criterion.
3Part(b) Step 1: Given information
We need to explain the criterion used to decide on the line that best fits a set of data points.
4Part(b) Step 2: Explanation
The least-squares criterion states that the line with the smallest possible sum of squared errors best fits a set data points.
Other exercises in this chapter
Q. 4.46
For a data set consisting of two data points:a. identify the regression line.b. What is the sum of squared errors for the regression line? Explain your answer.
View solution Q. 4.34
Regarding a scatterplot,a. Identify one of its uses.b. What property should it have to obtain a regression line for the data?
View solution Q. 4.36
Regarding the line that best fits a set of data points,a. What is that line called?b. What is the equation of that line called?
View solution Q. 4.37
Regarding the two variables under consideration in a regression analysis,a. What is the dependent variable called?b. What is the independent variable called?&nb
View solution