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Chapter 13: Problem 12

Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the given points. $$ (-5,1),(1,3),(2,3),(2,5) $$

Short Answer

Expert verified
The answer will depend on the specific slope \( m \) and y-intercept \( b \) that the LINEST function in Excel returns. The line will be in the form \( y = mx + b \).

Step by step solution

01

Understanding the Data

These are the points given: (-5,1), (1,3), (2,3), and (2,5). They are represented as pairs of x (the independent variable) and y (the dependent variable).
02

Enter Data into a Spreadsheet

Enter the x-values and corresponding y-values into two columns in a spreadsheet. Column A would be the x-values and Column B the y-values. For instance, in row 1, column A would contain -5 and column B would contain 1.
03

Compute the Regression Line

Use the regression functionality of the spreadsheet to find the least squares line. In Excel, this would involve using the 'LINEST' function.
04

Understand the Output

The 'LINEST' function returns the slope and y-intercept of the regression line. Assume \( m \) represents the slope and \( b \) represents the y-intercept. The equation of the regression line is \( y = mx + b \).

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