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    This module is included inLens: Community College Open Textbook Collaborative
    By: CC Open Textbook CollaborativeAs a part of collection: "Collaborative Statistics"

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    "Reviewer's Comments: 'I recommend this book. Overall, the chapters are very readable and the material presented is consistent and appropriate for the course. A wide range of exercises introduces […]"

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    By: Brylie OxleyAs a part of collection: "Collaborative Statistics"

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    By: David BourgeoisAs a part of collection: "Collaborative Statistics"

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Summary

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

Summary: This module provides a summary on Linear Regression and Correlation as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.

Bivariate Data: Each data point has two values. The form is (x,y)(x,y).

Line of Best Fit or Least Squares Line (LSL): y^ = a + bx y^=a+bx

xx = independent variable; yy = dependent variable

Residual: Actual y value-predicted y value=y-y^Actual y value-predicted y value=y-y^

Correlation Coefficient r:

  1. Used to determine whether a line of best fit is good for prediction.
  2. Between -1 and 1 inclusive. The closer rr is to 1 or -1, the closer the original points are to a straight line.
  3. If rr is negative, the slope is negative. If rr is positive, the slope is positive.
  4. If r=0r=0, then the line is horizontal.

Sum of Squared Errors (SSE): The smaller the SSE, the better the original set of points fits the line of best fit.

Outlier: A point that does not seem to fit the rest of the data.

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

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| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks