Question

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.

Short answer

(a) The regression line is

(b)

Step-by-step solution

Part (a) Step 1: Concept introduction

Isolated findings, stats, or tidbits, generally numeric, are known as data. A data is a constant of a variable in a more formal sense, whereas data is a set of principles of qualitative or quantitative variables about one or more individuals or groups.

Part (a) Step 2: Explanation

Let us consider the data

The regression equation can be obtained using the graphical method as

Then the equation is$\hat{y}=4.00-1.20x$.

Part (B) Step 1: Concept introduction

Isolated findings, stats, or tidbits, generally numeric, are known as data. A data is a constant of a variable in a more formal sense, whereas data is a set of principles of qualitative or quantitative variables about one or more individuals or groups.

Part (b) Step 2: Explanation

Let's have the data

The table for line A is obtained as

The line with the smallest sum of squared errors fits best in the set of data points, according to the least square criterion. Because the sum of the squared errors is zero in the example above, it may be concluded that the line fits the data points better.