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12 Carnegie Learning 3. extrapolation Chapter 9 Skills Practice 8045 Skills Ch09.indd 487 487 20/04/12 11:37 AM Lesson 9.1 Skills Practice page 2 Problem Set Determine the least squares regression line for each set of points. Round your answer to the nearest hundredth. 1. (3, 4), (7, 6) and (22, 24) 9 n53 Sx 5 3 1 7 1 (22) 58 Sy 5 4 1 6 1 (24) 56 ) S 2 5 2 1 2 1 (22 2 x 3 7 5 9 1 49 1 4 5 62 Sxy 5 (3 ? 4) 1 (7 ? 6) 1 (22 ? 24) 5 1.

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A least squares regression line represents the relationship between variables in a scatterplot. The procedure fits the line to the data points in a way that minimizes the sum of the squared vertical distances between the line and the points. It is also known as a line of best fit or a trend line.

Each point on the​ least-squares regression line represents the​ y-values that would be considered ideal at that corresponding value of x.

We use the least squares criterion to pick the regression line. The regression line is sometimes called the "line of best fit" because it is the line that fits best when drawn through the points. It is a line that minimizes the distance of the actual scores from the predicted scores.

If the data shows a lean relationship between two variables, it results in a least-squares regression line. This minimizes the vertical distance from the data points to the regression line. The term least squares is used because it is the smallest sum of squares of errors, which is also called the variance.

Given any collection of pairs of numbers (except when all the x-values are the same) and the corresponding scatter diagram, there always exists exactly one straight line that fits the data better than any other, in the sense of minimizing the sum of the squared errors.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232