Q. 4.36

Question

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?

Step-by-Step Solution

Verified

Answer

a. Regression line.

b. Regression equation.

1Part(a) Step 1: Given information

We need to find the line that best fits a set of data points.

2Part(a) Step 2: Explanation

The regression line is the line that best fits a group of data points is called . It is the line that most closely resembles the data and has the shortest overall distance between it and the graph's points.

3Part(b) Step 1: Given information

We need to find the equation of this line that best fits a set of data points.

4Part(b) Step 2: Explanation

The equation of this line is called regression equation. It is used to determine if there is a relationship between two pieces of data. It has the form y=ax+b, with y as the dependent variable, x as the independent variable, b as the line's slope and a as the y-intercept.

Q. 4.35

Q. 4.37

Other exercises in this chapter

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?

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Q. 4.35

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?

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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

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Q. 4.38

Using the regression equation to make predictions for the values of the predictor variable outside the range of the observed values of the predictor variable is

View solution